12 MAINLY PHYSICS CONTENTS of this section: 12.1 12.2 12.2.1 12.2.2 12.2.3 12.2.4 12.2.5 12.2.6 12.3 12.3.1 12.3.2 12.3.3 12.3.4 12.4 12.4.1 12.4.2 12.4.3 12.4.4 12.4.5 12.4.6 12.4.7 12.5 12.6 12.7 12.7.1 12.7.2 12.8 12.8.1 12.8.2 12.8.3 12.9 12.9.1 12.9.2 12.9.3 12.9.4 12.9.5 12.9.6 Page 1201 1202 1202 Alternative apparatus systems compared 1202 Bulbs and LEDs 1203 Cells or power packs? 1204 Meters for circuit work 1204 Maintenance 1205 Digital multimeters 1206 DMMs compared to analogue meters 1207 Provision of digital multimeters 1208 Which DMMs to buy 1208 New uses 1209 Dynamics 1210 Introduction 1210 Timing methods 1210 The air track 1216 Frictionless tables 1216 Trolleys and runways 1217 Other dynamics equipment 1218 Other means of recording linear motion 1219 Electrolytic capacitors 1219 Electron-beam and similar tubes 1220 Electronic meters 1221 The different meters described 1221 Experiments using the meters 1224 Heat experiments 1227 Calorimetry 1227 Cooling curves 1228 Gas laws 1228 High voltages 1229 Electrostatic generators 1230 EHT units 1232 HT units 1232 Induction coils 1232 Demountable transformers 1232 Power line (National Grid) simulation 1232 12.1 Beams and rings for lifting Beams and rings for lifting Circuit work Introduction 12.9.7 Household power circuit simulation 12.10 Ionising radiations 12.10.1 Category C work 12.10.2 More details on Category C work 12.10.3 Category B work with open sources 12.10.4 Electron beam tubes etc 12.10.5 Apparatus for work with radioactive substances 12.10.6 Units and definitions 12.11 Kinetic theory models 12.12 Lasers 12.12.1 Use of lasers 12.13 Mercury 12.13.1 Situations where care is needed 12.13.2 Precautions when handling mercury 12.14 Oscilloscopes 12.14.1 Use 12.14.2 To teach ‘the Oscilloscope’ & ‘the CRO’ 12.14.3 Use with VELA 12.14.4 Explanation of terms and features 12.14.5 What to buy 12.15 Pulleys and hoists 12.16 Ray sets 12.17 Ripple tanks 12.17.1 Features, accessories and their use 12.17.2 Use of ripple tanks 12.18 Stretched wires etc 12.19 Stroboscopes 12.20 Vacuum 12.21 Wave machines 12.22 Magnets 12.22.1 Precautions 12.22.2 Magnets in science 12.22.3 Care 12.22.4 Re-magnetising 12.22.5 Background information Page 1234 1237 1237 1237 1237 1237 1238 1240 1241 1241 1253 1255 1256 1256 1260 1260 1267 1267 1267 1272 1274 1274 1275 1276 1278 1278 1279 1279 1279 1281 1281 1281 1282 1284 1285 Some laboratories are fitted with a beam close to the ceiling to which apparatus can be attached. An alternative is a hook or a ring (a ‘point loading hook’) attached to a beam within the ceiling. While it is unlikely that the beam or ring could be inadequate for the loads attached to it during normal school science, it should be labelled with the maximum load that can safely be attached. Maximum load This will have been specified before the design of the laboratory and checked by the contractor’s structural engineer. If the maximum load a beam can support is unknown and cannot be found on the plans of the building, a structural engineer would need to be consulted. Inspection Unless a school uses a beam frequently for loads approaching its maximum limit, safety inspections are not needed. If hoists attached to such beams are used to lift pupils or heavy objects, great care must be taken with the attachments and the condition of the hoist etc. See section 12.15 (Pulleys and hoists). 2009 Mainly Physics 1202 12.2 Circuit work 12.2.1 Introduction © CLEAPSS 1992 Work with electric circuits is an essential part of the National Curriculum, beginning with simple series work at KS1 and KS2 to more advanced work beyond. It can be dogged with problems of excessive use of consumables (disposable cells and bulbs) and of poor contacts. In secondary schools, there is a strong argument for a fresh approach with different apparatus. The cost of consumables can be reduced or eliminated by using LV power units instead of cells and light-emitting diodes instead of torch bulbs. These solutions are considered below but have some educational disadvantages. This section starts by considering which equipment to use but there are no simple answers and all makes of circuit boards and circuit kits require some maintenance. Suggestions for maintenance are given in section 12.2.6. Details of circuit kits and boards available commercially are given in the CLEAPSS guide R122s, Circuit work for secondary schools. 12.2.2 Alternative apparatus systems compared Table 12.1 compares the several systems of apparatus which can be used. Table 12.1 A brief comparison of different circuit systems System Features Note Worcester Circuit Board, from Griffin & George, Philip Harris, Loctronics etc Mounted components fitted between metal pillars on a Gives very clear circuits which can be altered board. Torch bulbs are used as current indicators. rapidly. These properties were claimed to lead to better understanding. The system has been criticised for problems caused by poor maintenance. It is now rather expensive. 4 mm systems, eg, Unilab Mounted components with 4 mm sockets connected Gives fairly clear circuits which can be altered with leads terminating in 4 mm plugs. Torch bulbs are rapidly. These are more like ‘real’ circuits than those on Worcester Circuit Boards. used as current indicators. Other connection systems Mounted components with leads connected using Gives fairly clear circuits which can be altered but crocodile clips, springs etc. Torch bulbs are used as less rapidly. These systems are usually cheaper than the above but contacts are less reliable. current indicators. Low current systems Mounted components with leads connected by a A major criticism of the use of LEDs is that the variety of methods. The main feature is the use of low current path is not so clear. current indicators such as low-current bulbs to conserve batteries or LEDs to conserve batteries and bulbs (see 12.2.3 below). Detailed comparison of boardless systems and Worcester Circuit Boards Advantages of the Worcester Circuit Board a) There is no tangle of wires so that the circuit can be seen clearly. It can easily be made to match the circuit diagram, important for learners at Key Stage 3. b) Changes to a circuit, eg, moving the position of a switch, are usually easy to make and always clear to see. c) Power is usually provided by one, two or three dry cells mounted on the board. The number connected into a circuit is easy to see and to alter, making possible a simple introduction to electromotive force. d) Less able pupils can be helped with circuits drawn on duplicated paper templates fitted over the pillars. © CLEAPSS 1992 1203 Mainly Physics e) Cells and some other components, eg, connectors and lamps, can be kept on the board, so easing distribution. f) With this arrangement, it is easy to check that all components are returned. g) It is likely to be a change for pupils from primary school equipment! Disadvantages of a) Circuits on it are wired differently from how circuits are usually wired where practical circuits do not so obviously match the theoretical circuit. the Worcester Circuit Board Circuit diagram and circuit board 12.2.3 As usually wired with single-cored leads b) The layout of circuits on a Worcester Circuit Board stresses the relative position of components, not the connections to them. For example, it is difficult to illustrate the two wired circuits in the diagram above on a board. c) Contact resistances between connectors of all patterns and the pillars can be 1-2 × 10-1 Ω or higher still if the kit is not well maintained; this can lead to problems. 4 mm plug-socket contact resistances are usually lower. d) A board is expensive. e) Leads fitted with 4 mm plugs and crocodile clips are needed for meters and other extra components so the system is a hybrid one. f) It is not easy to use its components for other purposes as they cannot be used directly with 4 mm leads. Bulbs and LEDs Bulbs: which value to use Originally 1.25 V 0.25 A bulbs were specified for the Worcester Circuit Board. It was considered educationally valuable for pupils to blow one or two, which, of course, happens after a few seconds if a bulb of this type is connected across three cells. In practice, replacing bulbs and maintaining a stock of spares was regarded as a nuisance as well as a needless expense. Further, pupils do not always discard blown bulbs which remain to bug future work and, with holders of some models , replacing bulbs is not easy. Therefore, most schools now use the more robust 2.5 V 0.3 A bulb and, perhaps, fit each board with only two cells. It is interesting to note that one kit available contains 4.5 V 0.3 A bulbs. These do not burn out rapidly with three cells but still give an indication, a faint but quite visible glow, with one. Low-current bulbs Some circuit systems use low-current bulbs, eg, 6 V 60 mA. Usually the system is primarily designed to teach electronics, requiring a 6 V power supply perhaps provided by a ‘lantern’ battery. With this supply voltage, the more common lowervoltage ‘torch’ bulbs would burn out. The disadvantage with this system is that it is impossible to power a bulb with more than one battery to show the effect of an increase of emf in a circuit; with two batteries, a bulb would certainly show a bigger current by being brighter but would almost instantly burn out. Mainly Physics Light-emitting diodes in place of bulbs The quality of filament lamps 12.2.4 1204 © CLEAPSS 2005 LEDs are comparable in price to bulbs, have a long life, are more mechanically robust and draw less current from the cells. However, their use for this purpose produces a number of disadvantages. a) Their use is more complicated as they need a protective resistance and their polarity must be observed. b) The change of brightness with current is considerably less marked compared to bulbs. c) Milliammeters are needed for current measurement. The milliampere is not so suitable for beginners as the ampere, although the avoidance of the decimal point is an advantage, and the meters are more vulnerable to electrical overload. d) The main objection to the use of LEDs is that the current path through them is not as obvious as that through a filament lamp; also, some teachers think it unwise to introduce semi-conductor devices before concepts of conductors and insulators have been established. Cheap bulbs have the disadvantage that, connected in series, they are not uniformly bright, confusing pupils who are beginning to learn that the current in all parts of a simple circuit is the same. Satisfactorily uniform bulbs can be obtained from the usual suppliers, RS Components or from some local sources. Purchasers should try a small sample of particularly cheap bulbs before buying a large quantity. Cells or power packs? Advantages of cells over LV supplies a) Cells are simpler to use: one, two or three can be included in a circuit and the effect noticed, one can be reversed etc. b) They are already familiar to pupils from torches and toys. c) The voltage is restricted to that of one, two or three cells. LV supplies without a locking device will burn out bulbs rapidly and may cause damage to meters (see section 12.2.5 below). d) The concept of emf can be introduced through cell counting (as in Nuffield Science). Disadvantages of a) Two or three cells per board for a class set of 16 boards is expensive. cells over LV b) They can be flattened easily and this can be detected only by testing. supplies Perhaps some compromise should be reached, using cells for particular aspects of circuit work but LV supplies for revision of simple ideas and for magnetic and heating effects. Using rechargeable cells for this work is discussed in detail in section 9.5.3 (Cells, Primary or Secondary?). 12.2.5 Meters for circuit work Pupils are usually introduced to ammeters in elementary circuit board work, for example, to show that the current is the same in all parts of a simple circuit or that the current flowing through two bulbs in parallel is approximately twice that flowing through one. The current through the bulbs used is usually 0.2-0.3 A so that, allowing for the possibility of three bulbs in parallel, a 1 A ammeter is the most suitable and is the one © CLEAPSS 2005 1205 Mainly Physics recommended by Nuffield and other courses. The relative advantages of analogue and digital meters are discussed in section 10.3 (Meters). Of analogue instruments, moving-coil meters are more satisfactory for general purposes and more readily available; however, for this introductory work moving-iron meters are satisfactory. Use of movingiron meters 12.2.6 Moving-iron meters are mechanically more robust than moving-coil meters and slightly cheaper. They are electrically less robust but this does not matter when the power supply is dry cells. Their scales are usually almost linear and their higher internal resistance is not significant. Thus, they can be used for early circuit work. For general information on meters, see section 10.3 (Meters). Maintenance Circuit boards and their components need checking after every use and regular maintenance. It is useful to have a tester for checking cells, bulbs and connectors in the laboratory during the lesson. The maintenance of circuit boards is not difficult and the main problem is finding time for it. Some of it could form a suitable punishment for petty offenders! Much of what can be done is common sense but some advice is given below. If pillars are kept tight and connectors the right shape (and if, of curtain wire, the right length), it should seldom be necessary to clean either. Tester for cells, bulbs and connectors Terry clip Cell, size C Test cells between these contacts Components are mounted on a board or small 'platform'. Wiring underneath is shown: Test bulbs between these pillars Test connectors between these pillars = A pillar of similar diameter to those on the circuit boards Boards Most boards consist of a plywood board fitted with cell holders and a matrix of pillars. These are usually of nickel-plated brass rod, 3/16" (4.75 mm) in diameter and threaded to take 2 BA units. A few years ago, Philip Harris increased the diameter of the pillars to 5 mm. The pillars and cell contact strips frequently work loose and need tightening. Cleaning is needed infrequently. Pillars etc working loose It is worth buying a spanner which fits the nuts on the pillars, 2 BA in many cases. A 2 BA spanner will also fit the M5 nuts on the newer Philip Harris boards. Sets of BA spanners can be bought from good tool shops or RS Components. Pillars will not work loose so easily if shakeproof washers are put between the nuts and normal washers and if a dab of Loctite Lock’n Seal or Screwlock is put on the thread. Washers and Screwlock can be obtained from RS Components, Loctite Lock’n Seal from hardware or car accessory shops. Cleaning pillars Abrasives should be used with care as their regular use will remove the plating. Household cleaners intended for wash basins such as Jif are suitable, as are metal cleaners such as Brasso. If there is bad corrosion, perhaps because a solution from an electrolysis cell has been spilt on a board, fine emery cloth (Grade O) or wetand-dry paper (Grit size 600) should be used. Mainly Physics 1206 © CLEAPSS 2005 Connectors The most common patterns of connector are phosphor-bronze strips and curtain wire fitted with eyelets. Both patterns need regular reshaping. If this is done, connectors and pillars are self-cleaning and extra cleaning is seldom required. Reshaping Slight deformations of the phosphor-bronze strips can be removed with the fingers but a small vice is useful for more severe deformations and for straightening curtain wire connectors. The phosphor-bronze strips can be given the slight curve they require by pressing round a 1 litre plastic beaker or something similar. It is not usually worthwhile straightening badly deformed curtain wire connectors: it is better to keep a reel of curtain wire from which lengths can be cut. The lengths of this type of connector may need adjustment from time to time. Minor adjustment can be made by screwing up or unscrewing the screw eyes, more major shortenings by cutting off two or three turns. The lengths should be such that the connector needs to be stretched by a millimetre to fit over the pillars. Cleaning Contact resistance can be reduced by the occasional cleaning of the insides of the screw eyes on curtain wire connectors or the insides of the slots of the phosphorbronze strips. One method of doing this is to use a short length of wooden rod, which fits inside the eyelets or slots, moisten it with Jif, and rub it inside them. If this is done by a technician and a drilling machine is available, there is a considerable saving in time if the rod is rotated in the drilling machine. The connectors should be held with a suitable jig. Fine valve-grinding compound can be used instead of Jif. Jig for cleaning connectors Wooden rod Connector Nails with heads removed Block of wood Bulb holders 12.3 Bulbs may stick in some lampholders. A few drops of a graphited easing-andpenetrating oil, WD/40, or a similar preparation usually helps to release them. Digital multimeters The price and robustness of digital multimeters (DMMs) is such that they are now being used as bench meters for general pupil use in school science and electronics, not just as test instruments replacing the traditional analogue AVOmeter. In addition to sets of inexpensive hand-held DMMs, a school may require one or two better-quality digital multimeters, perhaps of the bench-type, for more accurate measurements. However, hand-held DMMs are now sufficiently accurate and reliable for most purposes. For a discussion of single-range digital ammeters and voltmeters more appropriate for junior use, see section 10.3 (Meters). © CLEAPSS 1992 12.3.1 1207 Mainly Physics DMMs compared to analogue meters Advantages Mechanical robustness DMMs will stand up better to mechanical shocks which damage analogue meters. However, some may not stand up well to the frequent and rough plugging and unplugging of leads and the frequent replacement of fuses that school work entails. Correct readings DMMs are easier to read than analogue instruments. The display of digits and a decimal point reduces considerably the likelihood of a false reading. Not all autoranging DMMs have a display of the appropriate unit (called an annunciator); this is essential for pupil use. There is no problem over parallax error. High impedance The voltmeter ranges typically have resistances of 10 MΩ, considerably greater than those of analogue instruments. This makes the connection of a DMM as voltmeter to a circuit less likely to distort existing current flows and potential differences. They can be used for measuring potentials in electrochemistry. Accuracy Analogue meters for bench use in schools typically have an accuracy of 2% fullscale deflection. The accuracy of a DMM is usually greater. It is expressed less simply, typically quoted as ‘basic x% accuracy ± y digits’. Consider an accuracy stated as ‘2% ± 1 digit’ applied to a 50 V reading when set to a 200 V range: 2% of 50 V is 1 V and the least significant digits on this range are 1 V. Hence the true value lies between 50 ± 1 ± 1 V, that is between 48 and 52 V. It is often necessary to make a calculation like this to determine the accuracy of a particular reading. Resolution DMMs are often said to have a ‘higher resolution’ than analogue meters. The resolution is the smallest change a meter can display and the DMM will display smaller changes than can be seen with a pointer. This leads to several additional and valuable uses: a DMM can sometimes be used in place of a light-beam galvanometer or an electrometer. See section 12.3.4 (New uses). Range Because of this high resolution, a single range on a DMM will often allow a wide range of values to be measured with sufficient accuracy, even with the 3 1/2 digit displays on most inexpensive DMMs. (‘1/2’ means that the most significant digit cannot be any of the full range of 0 - 9 but can only be blank or 1: ie, a three digit display could read from 1 to 999, a 3 1/2 digit display from 1 to 1999.) Electrical robustness DMMs are not damaged by the overloads likely in normal pupil work. When set to voltage and resistance ranges, they will withstand voltages well in excess of the maximum outputs of bench supplies while the current ranges, except for 10 A ranges, are protected by fuses. DMMs will withstand reverse connection and indicate it with a minus sign. Visibility The half-inch (13 mm) liquid crystal displays on most inexpensive DMMs are visible, in suitable light, over two or three metres: DMMs can therefore be used for some cases in place of special demonstration meters. Relevance to the DMMs are used in industry, repair shops etc so that familiarity with them will be useful. outside world Disadvantages Reliability The DMMs schools are likely to buy are at the low end of the price range and it must be expected that a few will fail; like analogue meters, repair is unlikely to be economical. It is recommended that meters are used as much as possible within the guarantee period. The sockets and switches on some models may not stand up to pupil use. Too many figures With a display of up to four digits, pupils using DMMs will often quote more figures than can be justified; judging the right number will need to be taught. Mainly Physics 1208 © CLEAPSS 2005 Batteries Most DMMs use PP3 cells; occasionally two AA (pentorch) cells are used With alkaline cells, a life of up to 1000 hours use is claimed for some models but 200 hours is the more usual claim. A cell will not give a constant life irrespective of the pattern of use; clearly, cells will deteriorate, albeit slowly, over the long periods they are left unused. Alkaline cells have a longer shelf life and so it is worth experimenting with them. It is important that DMMs are not put away switched on. Rechargeable cells are not suitable for powering DMMs. Confusion DMMs can offer the user many options: in addition to more than twenty V, I and R ranges, there are diode test facilities, ‘Low ohms’, ‘Memory’ etc. Less teacher control By issuing pupils with a single-function meter or a multipurpose meter with a shunt or multiplier attached, a teacher can ensure that the right range is being used. This control is lost with a DMM which, typically, has over 20 ranges. Misuse is unlikely to damage the DMM but, for example, using the 10 A range (unfused) instead of the 20 V range could cause problems in the circuit being investigated, for example, discharging a battery or overloading a device. Rapid and approximate changes A DMM is unsuitable for use as a galvanometer to show the induced emf in a coil when a magnet is moved in and out of it or for showing the decay in the current through a resistor across a charged capacitor; the meter cannot take readings fast enough. A pointer instrument can give a ‘current, no current’ comparison or rough orderof-magnitude indication or comparison better. For example, for some pupils, the DMM would be a less appropriate instrument for showing that the current through two bulbs in parallel is approximately double that through one. 12.3.2 Provision of digital multimeters Class sets of DMMs are probably appropriate for general use from Year 9 upwards, for some pupils at least. For some purposes, analogue meters will still be needed but schools might decide to make DMMs their standard class meters and use their remaining stock of analogue meters for these infrequent occasions. DMMs are too complicated for junior forms and perhaps for older, less-able pupils; however, if used, the switch(es) and unneeded sockets should be covered with a piece of hardboard or card held on with rubber bands. For these pupils, schools may prefer inexpensive analogue meters or single-range digital meters. Analogue and singlerange digital meters are considered in section 10.3 (Meters). 12.3.3 Which DMMs to buy Guidance can be found in CLEAPSS Guide R105, Digital Multimeters. The models of DMMs available on the market vary rapidly with time. DMMs often are alike but have different trade names or look the same but have slightly different features and so schools are advised to check very carefully what they are buying; in particular, they should look closely at the ranges. The cheaper DMMs usually have adequate dc voltage ranges but some may not have the 10 A current range essential for work involving heating and magnetic effects. If electronics is taught, it may be important to consider its needs when choosing meters, ie, to look for suitable low current ranges. Ranges and functions DC volts Almost all DMMs have the following ranges: 200 mV; 2, 20, 200 and 1000 V. One or two lack the 200 mV range. The resolution on the 2 V range is 1 mV so that the omission of the 200 mV range may not matter. However, it would be difficult to measure the emf of a thermocouple without this range. © CLEAPSS 1992 1209 Mainly Physics DC current What is available varies much more. Several have the following ranges: 200 µA; 2, 20, 200 mA; 2, 10 A; however, some have only three or even two current ranges. Both 2 mA and 10 A ranges are necessary, with at least one intermediate range. AC ranges These vary from DMM to DMM; in some, ac ranges are the same as the dc ranges with one or two omissions but some have no ac current ranges. Some DMMs with several ac ranges are needed for work on transformers and it might be useful to be able to meter ac used to power a heating coil: both 20 mA and 10 A ranges are useful. However, most school work is with dc so that it may not matter if most of the meters to be used by a class have limited ac ranges. Resistance ranges The following ranges are standard: 200 Ω; 2, 20, 200 kΩ; 2 MΩ. Several have an additional 20 MΩ range, some a 20 Ω range. The 20 MΩ range is valuable for electronics but a 20 Ω range is more useful for general work. Sockets Most but not all meters have standard 4 mm sockets so that ordinary leads terminating in 4 mm plugs can be inserted. It has been found that fuses in the meter are less likely to be blown if there are separate sockets for current and voltage ranges. All meters with the 10 A range necessary for schools will have separate sockets. The lower-current input will be protected with a fuse. Accessibility of fuses Pupils tend to blow the fuse protecting the lower current ranges. It is sensible to buy DMMs in which the fuse is readily accessible. Other functions DMMs frequently have other functions, for example for testing continuity, diodes and transistors, for measuring capacitance, frequency etc. With the possible exceptions of ‘continuity testing’ (the meter bleeps if there is continuity) and ‘hold’ (the display remains unchanged until a button is pressed), these facilities are an additional complication during general use and so are to be avoided if possible. They may be of use during electronics work. Recommended switching for class DMMs The functions and ranges of DMMs can, depending on the model, be selected with one or two rotary switches or push-button switches. With some, the selection of the range, as opposed to the selection of the function (ie, voltmeter, ammeter or ohmmeter), is achieved automatically; they are called autoranging. Autoranging or fixed ranges Some believe that autoranging models are more suitable for pupils. Range switching is not required, the most suitable range is selected automatically and the full unit appears on the display, making it harder for pupils to make errors. However, it is essential that other, more valuable features such as the size of the display are not sacrificed for autoranging. Also, pupils may learn more about magnitudes and units if they have to select the range. With autoranging, some pupils may notice and record the unit initially displayed but not notice if the range changes. Rotary or pushbutton switches DMMs controlled by a single rotary switch (with one or two buttons for special functions) are clearer to understand and easier to use than push-button models and likely to last longer. Push-button models can be used with one hand but this is irrelevant for bench use. In the sixth form, it is sensible if students have experience with more than one type of switching. 12.3.4 New uses These ideas are extracted from an article by Mark Ellse1. 1 Ellse, M, Electronic instrumentation in A-level physics, School Science Review, 67 (240), March 1986, pp 495-500. Mainly Physics As a nanoammeter: measurement of small currents 1210 © CLEAPSS 1992 With a 10 MΩ impedance, the 200 mV range of a DMM near full-range reading takes a current approaching 20 nanoamperes, 20 nA. The resolution on this range is 0.1 mV, corresponding to a current of 100 picoamperes, 100 pA. This sensitivity is adequate for most school requirements, for example, detecting the ionisation current produced by a 185 kBq (5 µCi) alpha source. Thus a DMM can be used instead of a spot galvanometer or electrometer for some purposes. At least one inexpensive meter has a 20 µA range with 10 kΩ. It may be suitable for some current-measuring applications. As a coulombmeter A charge measurer or coulombmeter can be made by connecting a voltmeter across a suitable capacitor of known value; however, the voltmeter must have a high impedance or else the charge will leak away too quickly. With an impedance of 10 MΩ, a DMM across a capacitor of 10 µF has a time constant of 100 seconds; ie, the pd will fall to 1/e (= 0.37) of its initial value after 100 s, giving adequate time to take a reading (in 3 s, the reading will have dropped by not quite 3%). The 200 V range will give a full range reading for 2 mC, the 200 mV range for 2 µC. Electrolytic capacitors, which have significant leakage and are polarised, are unsuitable for this purpose; metallised film capacitors can be used and are available from RS Components and other suppliers. Adding up potential differences round a circuit It is useful to be able to add up the potential differences round a circuit and show that their sum is zero, if due attention is paid to sign. A DMM enables the potential differences across devices such as batteries and bulbs and even the wires to be measured with sufficient resolution and with sufficient linearity for the exercise to be convincing. 12.4 Dynamics 12.4.1 Introduction The basic concepts of dynamics form an important part of school science. Initial experimental work aims to establish the concepts of velocity, acceleration and mass. These are linked in further work on Newton’s Laws of Motion, followed by that on momentum and energy. The main apparatus used is the dynamics trolley with its associated runway or track; there should be enough sets of these for class work. Schools often have a linear air track; some have ‘frictionless’ tables on which two-dimensional motion can be demonstrated. Outlines of how various ideas can be investigated with trolleys or a linear air track are given in Table 12.2 below. Additional equipment is needed for measuring g, the free-fall acceleration due to the earth’s gravitational field. Finally, some schools will have apparatus for demonstrating angular motion. 12.4.2 Timing methods There are three methods of timing moving trolleys, air-track vehicles and pucks: tickertimers, stroboscopic photography and light gates. The development of microcomputers has increased the popularity of the last method but the tickertimer is probably the only device that could be available in sufficient numbers for pupil work. Some teachers claim that pupils have difficulty in deriving values for acceleration from tickertape; while this is true, it is probably due to a failure to understand acceleration itself. A computer will give values for acceleration with less trouble but will not reveal a failure to understand the concept. © CLEAPSS 1992 Table 12.2 Concept, law principle, etc 1211 Mainly Physics Some basic investigations with trolleys or a linear air track Apparatus1 Constant velocity Constant acceleration Trolley on fc2 track Vehicle on la2 track Acceleration proportional to force Acceleration inversely proportional to mass Elastic collisions Trolley on fc track Vehicle on la track Elastics etc to apply force Trolley on fc track Vehicle on la track Extra trolleys, or masses equal to masses of vehicles 2 trolleys on fc track 2 vehicles on la track Extra trolleys, or masses equal to masses of vehicles Procedure The vehicle is started and makes equally spaced dots on tape, equal time intervals at light gates etc. Discussion of friction compensation. Repeated with track tilted. Experience in measuring acceleration. Multiples of a force applied in turn with the vehicle pulled along with 1, 2, 3 … elastic cords or springs stretched the same amount. A single, constant force is applied in turn with an elastic cord to 1, 2, 3… masses. This can be achieved by stacking trolleys on top of each other or adding equal masses. One trolley with spring-loaded plunger extended is pushed towards the other which is stationary. Each has a tape through the timer (with two carbon discs if carbon disk type.) Repeated with varied masses. Two repelling magnets can be used instead of the plunger. Two la vehicles are collided, fitted with elastic collision fittings. Repeated with varied masses. Totally 2 trolleys on fc track One trolley fitted with a needle is pushed towards the other inelastic 2 vehicles on la track which is stationary and fitted with a cork. Each has a tape collisions Extra trolleys, masses equal through the timer (with two carbon discs if carbon disk type.) to vehicles Repeated with varied masses. Two attracting magnets can be used instead of the needle and cork. Two la vehicles are collided, fitted with inelastic collision fittings. Repeated with varied masses. Explosion 2 trolleys on uncompensated The spring-loaded plunger on one trolley is loaded. Trolleys between two track are put together and peg tapped to release plunger. trolleys No tickertimer Repeated with varied masses. Trolleys pulled 2 trolleys on uncompensated The trolleys are linked with elastic cords, pulled apart and together track released. They collide and are held together by a corkNo tickertimer needle arrangement. Repeated with varied masses. Kinetic energy Trolley on fc track The vehicle is pulled back with a projection (ie, a peg in a proportional to Vehicle on la track trolley) against a stretched rubber band, elastic cord etc, is 2 Rubber bands which will released and the velocity measured. Repeated for 1, 2, 3 … velocity stretch across track elastics, vehicle pulled back the same distance each time. Loss in PE Trolley on fc track A cord attached to a vehicle passes over the pulley to a proportional to Vehicle on la track mass. The vehicle is released and the velocity measured gain in KE Cord, pulley clamped at the after the mass has fallen a measured distance. Repeated end of track, masses with different distances and masses. 1. By ‘vehicle’ is meant either a trolley or a linear air track vehicle. For each experiment, it is assumed that there is appropriate timing equipment: tickertape, light gates, stroboscopic photography etc. 2. ‘fc’ means ‘friction compensated’. The track is adjusted with window wedges etc so that a trolley travels at a constant speed. ‘la’ is ‘linear air’ as in ‘linear air track’. See also: Revised Nuffield Physics Teachers’ Guide Year 4 , Longman, 1978, ISBN 058204684X, p6 et seq. Mainly Physics 1212 © CLEAPSS 1992 Tickertimers A vibrator actuated by 2 - 12 V ac marks a paper tape drawn by a moving vehicle. The distances between successive pairs of marks are the distances the vehicle travels in 0.02 (1/50) second (usually) and so are proportional to the velocity of the vehicle. Lengths corresponding to constant time intervals, eg, 10 marks, are used to give comparisons of velocity and hence accelerations. Because the lengths of tickertape compared are the actual distances a trolley has travelled, tickertape is a concrete way of showing motion. However, its appearance is contrary to the intuition of some pupils: if two tapes representing different velocities are compared, the lower velocity has the more closely spaced marks. Because this looks ‘busy’, it is contrary to intuition which is perhaps why pupils find tickertape confusing. Further, tickertimers are noisy and not very reliable. Successive lengths of tickertape showing acceleration Marking of the tape Tickertimers can mark the tape by a point hitting a carbon paper disk above or below it. The disk is free to rotate so that the point hits different positions on the carbon paper which therefore lasts longer. Another model uses a ballpoint pen. Recently, self-marking tape has become popular; this is impregnated with a chemical which produces a mark on impact. This is much less trouble, avoiding the carbon paper disk. However, self-marking tape is prone to tear and can pick up writing from the opposite page if stuck in a notebook. Because it tends to fade, it is sensible to mark the points with a pen. Adhesive or non- Plain tickertape can be obtained gummed or ungummed. Since pupils will need to adhesive tape? stick lengths of tape in their notebooks, gummed tape, which merely has to be moistened, is much more convenient. Regrettably, gummed, self-marking tape is not available. Adjustment of tickertimers Most tickertimers work off 12 V ac but one model works off 2 V. Adjustment of the spring can be critical in some models and small adjustments to the supply voltage can sometimes improve the clarity of the marks. Electronic methods of timing Automatic, electronic methods have been in use for years, since Nuffield Physics introduced the scaler-timer. However, the scope of these methods has expanded with © CLEAPSS 1992 1213 Mainly Physics the introduction of microcomputers, dataloggers and special timing units. They depend on switching devices, eg, by which objects are released and switches opened or closed simultaneously, and on light gates. A light gate is a switch consisting of a lamp and a light-sensitive device (diode or phototransistor). A card (called an ‘interrupt card’) on a moving vehicle passes between the two parts of the gate and the interruption of the light beam is automatically timed by one of several means: a milli- or centisecond timer, a special velocity-acceleration unit, a datalogger or a microcomputer. Some switches can be bought from suppliers: eg, for measuring g by the free-fall of Switches for automatic timing a metal ball. Some can be constructed in minutes, using contacts of aluminium foil; others take longer to make. Aluminium foil Circuit completed by ball Tape Time of impact of a toe on a ball Magnet Aluminium foil Contact Hinged trap Commercial g by free-fall apparatus Light gates Clothes-peg release switch There are several models of light gate on the market; not all will be compatible with all timing devices. For trolleys and air tracks, it is very convenient to have the lamp and photosensitive switch permanently mounted on the same rod so that they do not have to be realigned each time they are used. However, if the timing of movements of other objects is expected, then separate units which can be placed some distance apart might be more useful. If commercial gates are unsuitable or too expensive, it is possible to construct light gates. For example, a reflective opto-switch (eg, from RS Components) can be used with a reflecting tape attached to the object to be timed. Interrupt cards These are cards which are attached to moving vehicles such as dynamics trolleys or air track vehicles to interrupt light gate beams; they are best made of thin black card. From the length of a card (typically 50-150 mm) and the time of interruption, the velocity of the vehicle can be calculated. Because the light beam has finite width, the length of the card will not give the true velocity: the effective length (see diagram below) can be found by experiment. However, the precise velocity is needed only in attempts to measure g, the acceleration due to gravity. Mainly Physics 1214 © CLEAPSS 1992 A double-interrupt card can give readings of uniform acceleration but to do so needs a timing device which can record two readings in rapid succession. Motion d s d d Interrupt card Double interrupt card s Section through lightbeam (diameter exaggerated) 2 Acceleration = Effective length of card is somewhere between s and s + 2d v - u 2s ( dt ) - ( dt ) 2 2 = 1 2 2 2s Where t 1 is the time for the first interruption, t 2 for the second Modes of timing Basically there are two modes of timing: duration, in which what is timed is the interval during which a switch is closed (or opened) or a light beam interrupted, and triggered, in which timing is started by a switch opening (or closing) and stopped by the switch opening (or closing) again. (It can, of course, be triggered by the start of a light beam being interrupted etc.) Duration control Timing takes place only while an input is completed or broken. For example, the time the toe of a shoe is in contact with a football is measured by completing a circuit attached to the timer input with contacts on the shoe and ball; the instrument times while these two contacts touch. A reaction time can be measured by an experimenter closing a switch (which also lights a lamp) to the input; the instrument times until the subject opens a switch in series. The velocity of a linear air track vehicle can be found by recording the time taken for an interrupt card, whose length is measured (eg, 50-150 mm), attached to the vehicle to break a light beam falling on a photocell attached to the input. Triggered control Some automatic timing devices have triggered control: timing is started or (pulsed or gated stopped by the momentary completion or breaking of a circuit, typically by the momentary breaking of a light beam. To measure the time taken by a linear air control) track vehicle to travel between two points 250-1000 mm apart, light gates are arranged across the track at the two points. Timing starts when the first beam is interrupted but subsequent restoration of this beam will not stop it; only interrupting the second beam will. Instruments fitted with triggered control can usually also be used for duration control. Selection of the type of control is made with a switch or choice of sockets. Triggered control is useful as it allows a greater range of dynamics experiments (see Table 12.3) but it is not essential; there is nearly always another way of illustrating the same relationship. It is not difficult to build a unit to convert duration control to triggered control (circuits are available from CLEAPSS). Millisecond timers, scaler-timers Many schools will have millisecond timers, in some cases combined with scalers (pulse counters) as scaler-timers; see section 12.10.5 (Measuring apparatus). All will be fitted with input sockets which allow duration (make and break) control; some will also allow triggered control. © CLEAPSS 1992 Table 12.3 1215 Mainly Physics Examples of the use of different methods of timing Measurement Control of d/c/m* timer Note Timer used as a stopclock manual d Often a switch. If not, connect a switch across the ‘make’ sockets. Human reaction times duration c Various possibilities: eg, the experimenter’s switch across ‘make’, the subject’s across ‘break’. Acceleration due to gravity, g by free fall duration c Releasing the ball between contacts opens ‘break’. The ball falls and hits a trap which opens ‘make’. s=1/2 gt 2 Time of impact of a toe on a ball duration m Aluminium foil contacts on toe and ball are connected across ‘make’. Velocity of an air rifle pellet duration m Pellet breaks two foil strips, the first across ‘break’, the second across ‘make’. Timing a longitudinal wave along a line of trolleys duration c Contacts on end trolley and wall are connected across ‘make’. Acceleration of a dynamics trolley duration light gate c Card on trolley. Two light gates connected in parallel across ‘make’ some distance apart. First reading memorised by the experimenter. Velocity of a long pendulum duration light gate c Card attached to the pendulum. Light gate across ‘make’. Velocity of air track vehicle (catapulted with different numbers of elastics) duration light gate c Card on vehicle. Light gate across ‘make’. Time for vehicle to travel to different points on a tilted air track: to illustrate s = kt2 triggered light gate c Pair of light gates, one across ‘make’, the other across ‘break’ are placed successively at adjacent points whose distances from the starting points are proportional to n2, n = 1, 2, 3 … Acceleration due to gravity, g, triggered by free fall (or the acceleration light gate of a trolley) m Pair of light gates, one across ‘make’, the other across ‘break’, are placed one below the other as far apart as possible. s1 = ut1 + 1/2gt12 s2 = ut2 + 1/2gt22 Angular velocity of a turntable c Beams in a pair of light gates, one across ‘make’, the other across ‘break’, are broken by a card on the rim of a turntable. * triggered light gate d/c/m indicate the most appropriate minimum timing interval: d = 0.1 second; c = 0.01 second; m = 0.001 second. Timing with computers, VELA and single-purpose units Interfaces for timing are available; these use the microcomputers commonly found in schools and are supplied complete with software and documentation. Some time with an uncertainty of 30 microseconds, making possible accurate determinations of g by Mainly Physics 1216 © CLEAPSS 2005 free fall. They can record readings taken in rapid succession and so allow the use of double-interrupt cards. VELA can also be used for timing. Also available are single-purpose time-velocityacceleration units to which switches can be connected and with displays giving values of times, velocities and accelerations. These are very convenient to use but, unlike a computer, cannot be used for anything else. All these devices are provided with full instructions. Motion sensor This is an ultrasonic rangefinder which is used linked to a microcomputer, enabling graphs of distance, velocity and acceleration against time to be displayed as the motion takes place. It can be used to display the motion of trolleys and linear air track vehicles but its unique value lies in its ability to display the motion of pupils, helping them to develop a ‘feel’ for various motions. It is available from Educational Electronics with the necessary software and detailed instructions. How it works An electrostatic transducer emits a train of 16 pulses at about 50 kHz. This is reflected by the object whose motion is being observed and recorded by the same transducer. Wave trains are emitted at 20 Hz, with the receiver inhibited for a period after each train so that only reflections are recorded. The operational range is about 35 cm to 6 m. Targets with a width of 1 cm or more can be observed. The ultrasonic beam is narrow, reducing interference from false reflections1. Stroboscopic photography With a xenon stroboscope, it is possible to take stroboscopic pictures of moving objects if a Polaroid camera is still available. Stroboscopic photography is essential if measurements are to be made on two-dimensional motion on an air table. Use with air tracks 12.4.3 For example, momentum changes caused by collisions of various kinds between vehicles can be shown. Drinking straws attached to the two vehicles show up as a series of lines on the photograph and measurements can be made to confirm the Law of Conservation of Momentum. In the past, air tracks were provided with screens which could be moved quickly after a collision to block the camera’s view of one vehicle and simplify the photograph. They are no longer supplied, probably because it is much simpler to make measurements using a light gate and timing device. The air track Similar models are available, complete with accessories, from the normal suppliers. An air track should be about 2 m long, which may present storage problems, particularly as great care must be taken to prevent a track being bent. While blowers can sometimes be devised out of cylinder vacuum cleaners, it is convenient if the blower is as quiet as possible; there should be a bleed valve, which leaks air, allowing control of the air supply to reduce friction on the vehicles to the minimum. Full instructions are provided. 12.4.4 Frictionless tables Frictionless tables are used to show two-dimensional motion. There are two kinds: the first is the air table, a hollow chest with a perforated and very flat top connected to a 1 This note is based on SSERC, Evaluation Report - Motion Sensor, Science & Technology Bulletin, 163, 1989, p37. © CLEAPSS 2005 1217 Mainly Physics blower, the second a sheet of flat glass with a suitable rim. The former is more expensive but does not require solid carbon dioxide or pucks fitted with air pumps. It can be operated with the blower used for a linear air track. Tables are usually 750800 mm square with the top surface black to aid photography. Types of puck For air tables. Only simple, flat disk pucks are required; these can have magnetic rims, useful for producing elastic collisions, or brass rims for partially inelastic collisions. For glass plates, pucks generating their own cushions of gas are required. Pucks can use solid carbon dioxide and consist of a circular rim with a top: solid carbon dioxide is placed under the puck where it generates a cushion of gas. Their disadvantage is the need to obtain a supply of solid carbon dioxide; section 11.2 (Cryogenics) gives some help. Pucks with battery-operated pumps are available which generate their own cushions of air. While these work well, they are not as reliable in the long term as the other kinds. 12.4.5 Trolleys and runways Trolleys Similar trolleys are available from the main suppliers. They are robust but care must be taken with them if they are to continue to work well. Full details of how trolleys can be used are given in Nuffield Physics texts1. They are provided with a number of features and require certain accessories. Stacking Trolleys are made to stack so masses can be changed in simple multiples: ie, one trolley, two trolleys etc. Short rods fitted into holes in one trolley allow another to be fitted on top. Metal plates with the same mass as a trolley are available as a cheaper substitute. Elastic cords with These are the recommended method of applying forces in simple multiples. An eyelet at one end of a cord is dropped over a rod at the back of a trolley. The other eyelets eyelet is held by finger and thumb and kept over a mark near the front of the trolley, thereby stretching the cord an approximately constant amount so applying an approximately constant force. To apply twice the force, two cords are used and so on. While this method of applying force requires a knack, it does not have the logical difficulty that using a thread passing over a pulley to a mass does: ie, the mass being accelerated is not just that of the trolley but includes the falling mass. Cords can be bought ready-made or constructed from shirring elastic from a haberdashery department. However, it is difficult to get them all the same length. It is important to prevent them tangling, perhaps by storing each group’s set threaded on two nails on a strip of wood. Because elastic cords have a limited life, some prefer to use springs. Accessories for momentum changes Trolleys are fitted with rods and springs inside holes running down their lengths; these can be fired by pressing a rod through a hole, thereby pushing two stacks of trolleys apart. It can be shown that the net momentum change is always zero. Trolleys can be made to collide in different ways: elastically by attaching magnets to the fronts of a pair of trolleys so that they repel; totally inelastically (stuck together) by attaching a cork on one and a spike on the other or with two magnets arranged to attract. Wave demonstrations 1 A series of trolleys can be linked with springs to make wave models. Special attachments are needed for this. For more details see section 12.21 (Wave machines). Revised Nuffield Physics Teachers’ Guide Year 3, Longman, 1977, ISBN 058246831, p24. Mainly Physics 1218 © CLEAPSS 1992 Runways These are usually made from blockboard mounted between two lengths of slotted angle-iron whose purpose is both to protect the blockboard and keep it straight and also to prevent trolleys rolling off. Lengths vary from 2.5 - 1.5 m; the longer runways give better results but are harder to store. It is sensible to tie a length of string across the ends of runways to prevent trolleys falling off. Friction compensation 12.4.6 Runways are compensated for the friction of the trolley by tilting; a few exercise books under one end is usually adequate. Other dynamics equipment Air rifle experiment An air rifle or air pistol is sometimes used in dynamics experiments. The velocity of the pellet can be found by it successively breaking two aluminium strips some distance apart and connected to a timing device. A pellet can be fired into a lump of Plasticine on an air track vehicle and its velocity calculated from the subsequent velocity of the vehicle, using the Law of Conservation of Momentum. The two values for velocity can be compared. rifle can be obtained from the normal suppliers mounted on a stand. It should be m The kept mounted on its stand and always pointed away from people, particular attention being paid during loading. A safety screen should be placed between the class and targets, gates etc. An open cardboard box, on its side, lined with some soft material should be placed beyond the target. All present should wear eye protection. Free-fall A device, called a ‘falling bodies’ or ‘projectile’ apparatus, is available from the normal suppliers and used to teach the independence of vertical and horizontal motion. If a catch is pressed, two steel balls are released simultaneously: one just drops, the other is given a horizontal velocity. They can be heard to hit the ground together. The acceleration due to gravity, g, can be measured using a timing device and a pair of switches obtainable from the normal suppliers; see the section 12.4.2 (Timing methods) above. Timing ball This is a hard ball with a stitched cover, resembling that used in baseball, which is similar in size to a cricket ball. Inside is a digital clock plus a battery which lasts about five years and cannot be replaced. If a marked area is pressed, the clock is zeroed; when it is released, the clock counts in milliseconds until the ball hits the floor etc. The elapsed time can be read through a small window in the ball. The ball should not be dropped from a height of greater than 2 m or thrown against a hard surface. It can be used for demonstrating g by free-fall and is obtainable from Unilab Ltd. Rotary motion For experimental work on rotational dynamics, tables which rotate with low friction, some using air bearings, can be obtained. It is possible to make a d-i-y table using a bicycle wheel bearing which can be used for some aspects. The relationship between centripetal force, mass and velocity (F = mv2/r) can be tested with the simple apparatus shown in the diagram below. The tube is held in the hand and the bung whirled round horizontally, the angular velocity adjusted until the paper clip on the cord is just below the tube. The edges of the tube should be rounded; if a glass tube is © CLEAPSS 1992 1219 Mainly Physics used instead of plastic, it must be protected by enclosure in rubber tubing or covered with tape. For further ideas, see the Nuffield Physics Guide to Experiments, Year V.1 Bung Plastic tube Paper clip 1 - 2 g masses or washers 12.4.7 Other means of recording linear motion SSERC has developed methods using two devices with voltage outputs directly proportional to distance in the first case and velocity in the second. The first depends on a multi-turn potentiometer, the second a small electric motor, both inexpensive. Further details are given in CLEAPSS guide L97, Distance, Time & Velocity2. 12.5 Electrolytic capacitors capacitors can explode if misused. It is important to make sure that any m Electrolytic electrolytic capacitor: (a) (b) (c) (d) is not connected the wrong way round, ie, with the wrong polarity; does not have a voltage applied to it above its rated value; does not need re-forming; is not expected to carry a ripple current above its rated value (in a smoothing circuit). Re-forming Electrolytic capacitors depend on a very thin insulating layer formed electrolytically between chemical layers inside the capacitor. After 12-18 months without use, this layer can need re-forming which is done by connecting the capacitor to a smooth dc supply (positive to positive). The voltage is then increased slowly from zero to about the rated voltage, taking about one minute. The capacitor is then disconnected and has been re-formed. 1 Nuffield Physics Guide to experiments V., Longman, 1968. 2 The material in this guide originally appeared in the SSERC Bulletin; it is reproduced by kind permission of the Director. Mainly Physics Choice of electrolytic capacitors for smoothing circuits 12.6 1220 © CLEAPSS 2005 The rated voltage of a capacitor must be greater than the maximum dc voltage applied to it. Reliability is improved if it is considerably greater; it is sensible to aim for twice the maximum. The ripple current rating must also be adequate. A smoothing capacitor can be thought of as short-circuiting an ac ripple imposed on the dc load current. Estimated values of the ripple current are 1.4 × load current for full-wave rectification, 2.8 × load current for half-wave rectification. Again, for reliability, it is sensible to choose a rated value well above the estimated value. Electron-beam and similar tubes These are used for teaching thermionic emission, properties of electrons and electron beams, gas discharge and dynamics. Operating with a maximum voltage of 5000 V, they do not offer any radiation hazard. See also guidance leaflet PS 76 Electron-beam tubes: an introduction. While some schools may have Leybold tubes imported some years ago, most will have Teltron tubes as described in Table 12.4. Table 12.4 Voltage & current requirements of Teltron tubes Type of tube Gas discharge Voltage needed Approx current Supply needed 2000 - 5000 V 1 - 2 mA Planar diode 500 V 3 mA EHT + filament supply Planar triode 500 V 0.35 mA EHT + filament supply Luminescent 2000 - 5000 V 2 mA EHT + filament supply Maltese cross 2000 - 5000 V 2 mA EHT + filament supply Perrin 2000 - 5000 V 2 mA EHT + filament supply Deflection e/m 1500 - 5000 V 1 mA EHT + filament supply Electron diffraction 1500 - 5000 V 0.2 - 0.4 mA EHT + filament supply Double-beam gasfilled 300 V 10 - 20 mA HT (includes filament supply) Gas-filled planar triode 300 V 10 mA HT (includes filament supply) 50 V 2 mA Variable LT supply + filament supply Critical potentials EHT It will be noted that an EHT supply can be used for almost all the tubes. EHT supplies available for schools have their currents limited to 5 mA and so are safe. m An HT supply giving 300 V at more than 5 mA is required for two tubes, including the double-beam tube which is popular. School HT supplies can often provide currents up to 150 mA and are dangerous. See section 12.9 (High voltages). Filament supply This will be needed where indicated and is normally 6.3 V ac with a maximum of 7.5 V. However, the electron diffraction tube benefits from a variable supply: 5 9 V ac or dc and the critical potentials tube requires 5 - 7 V ac or dc. Other power supplies Additional power supplies will be needed for certain tubes: the planar triodes, e/m, double-beam and critical potential tubes. See the supplier’s literature. All connections are made with 4 mm plugs or free 4 mm sockets, ie female conPlugs for HT & EHT connections nectors on the end of leads. For high voltages, plugs should have shrouds, the sort with a spring-loaded insulated cover which retracts as the plug is inserted. These are essential1 with a supply providing a current of more than 5 mA at over 50 V. Repairs 1 If a tube is damaged, it is always worth contacting UK 3B Scientific, the company that now manufactures Teltron tubes, to see if repair is possible. See Electrical Safety in Schools (Electricity at Work Regulations 1989) GS23, HSE, 1990. © CLEAPSS 2005 m Disposal 1221 Mainly Physics Sealed, evacuated vessels should be broken before disposal through the public refuse system. Wear eye protection and gloves and break the vessel inside a stout cardboard box. Pack the remains in an old cardboard box before disposing in the refuse. Consult CLEAPSS if a tube contains an active metal such as sodium. If a Teltron electron-beam tube needs to be disposed of, UK 3B Scientific may accept returned tubes. 12.7 Electronic meters This section is concerned with dc amplifying meters, ie: coulombmeters; sensitive galvanometers (micro and millivolts, nano and microamps); picoammeters; high-impedance voltmeters with 1 V or 2 V ranges; and combined meters covering all the functions offered by the four instruments listed above. The use of digital multimeters for measuring these functions will also be referred to. 12.7.1 The different meters described The coulombmeter (Nuffield1 specification 1512) measures charge and possibly replaces an electrometer/dc amplifier with a capacitor across it. However, it can also be used for some purposes instead of a gold-leaf electroscope. Coulombmeters are available as single-function meters and as one function of a combined meter. The sensitive galvanometer (1101) is a replacement for the taut-band spot galvanometer. This has become expensive to repair and its electronic replacement is direct reading and more robust. Some models can integrate current over time, so enabling the meter to be used with a search coil. Sensitive galvanometer functions are provided by separate meters such as microvoltmeters or by combined meters. The picoammeter (1516) replaces the electrometer/dc amplifier fitted with a shunt. Types are available as single-function meters and as one function of a combined meter. The high-impedance voltmeter (1509) is a replacement for the electrometer/dc amplifier used to measure potential differences of 1 or 2 V. High-impedance voltmeter functions of this range are available only as some of the functions of combined meters. Coulombmeters A coulombmeter is a very high-impedance voltmeter, often digital, connected across a capacitor with a very high leakage resistance. It is calibrated in nanocoulombs. A d-i-y version can be made with a capacitor across a digital multimeter. The Nuffield specification stipulates a resolution of at least 1 nanocoulomb (nC) and a range of at least 100 nC. Those available have a range of 0 - ±200 nC with a resolution (smallest reading) of 0.1 nC or 0 - ±2000 nC with a resolution of 1 nC. Capacitances vary from 0.1 to 5 µF. These coulombmeters were designed for three Nuffield experiments: see section 12.7.2 (Experiments using the meters). Coulombmeters can also be used for elementary electrostatics demonstrations and, for some, are better than a gold leaf electroscope. 1 Most of these instruments were introduced by the Nuffield Revised Advanced Physics course and are made to their specifications; see the Apparatus Guide and other guides, published by Longman. See also Ellse, M, Electronic instrumentation in A-level physics, School Science Review, 67 (240), March 1986, pp 495-500. Mainly Physics 1222 © CLEAPSS 1992 A coulombmeter instead of a gold-leaf electroscope for electrostatics A coulombmeter measures small charges while a gold-leaf electroscope is a very Coulombmeter and electroscope high-impedance voltmeter which can be calibrated to read kilovolts. Table 12.5 below compares the characteristics of a coulombmeter and an electroscope. compared Feature Table 12.5 Capacitance Features of coulombmeters & electroscopes Voltage range Leakage resistance Coulombmeter Electroscope High (0.1 - 5 µF) Low (<1 pF) Low (<0.5 V) High (1 - 5 kV) High 1012 Ω Even higher >1015 Ω An outline of some experiments is given in section 12.7.2 (Experiments using the meters) but some general points may be useful here. Ease of use Despite its very different characteristics, the coulombmeter is not significantly easier to use for electrostatic experiments. The charges on polythene rods etc remain the same as do the comparable stray charges on the experimenter’s body, the induced charges on hands etc which can cause problems. ‘Black box’ The coulombmeter is a black box and it is not expected that junior pupils should understand how it works; sixth formers need to understand only that it is a highimpedance voltmeter with a low leakage capacitor across it. Its use to demonstrate that a charge is positive or negative is direct and simple. An electroscope is less simple or direct but it can, however, be used to teach a number of ideas about potential and charge distribution. A pupil who really understands how one works understands electrostatics. Technique With good technique and luck, a demonstration with a coulombmeter can be very convincing. Eg, if the tips of neutral acetate and polythene rods are rubbed and inserted singly in a small can connected to a coulombmeter, equal but opposite readings can be obtained. If the rods are then inserted together, the reading can be zero. However, a small difference which would not show on an electroscope can spoil the effect. Uses of an electroscope where it cannot be replaced by a coulombmeter Ionisation from a Because the potential difference needed for a full-range reading is less than a volt, a charged coulombmeter will not discharge rapidly when held near a flame. flame Flame probe The leakage resistance of a coulombmeter is too low to work with this device for measuring potential and its voltage range is too low. Polarity of the charges A coulombmeter cannot be used to demonstrate polarity of charges on a Perrin tube, a Maltese Cross etc as potentials are too high. Use of a digital multimeter as a coulombmeter See section 12.3.4 (Digital multimeters, New uses.). Sensitive galvanometers Use for potential difference and current measurement The Nuffield specification for a sensitive galvanometer (1101) stipulates the need to measure potential differences between 1 µV and 1000 µV with an internal resistance © CLEAPSS 1992 1223 Mainly Physics of at least 20 Ω. The resistance should be as high as possible as it is for small potential differences rather than small currents that the meter is most often required. In these uses, the instrument can be considered as a microvoltmeter. Replacement for a spot galvanometer used as a microvoltmeter Meters now available usually cover a wider range than this and their resistances are considerably above 20 Ω; they range from 1 kΩ to 1 MΩ. These values are high compared to that of taut-band galvanometers such as the Edspot light-spot galvanometer which these meters replace; also, these meters are more robust than the Edspot and are direct reading. They employ a chopper-type microvolt amplifier to reduce the effects of drift and noise which would obscure readings if straight dc amplification were used: the input signal is chopped into a series of pulses which are amplified and then averaged. The Edspot is widely used outside Nuffield courses but, with one exception, it is difficult to think of any common uses for which an electronic microvoltmeter would not be as good if not superior. (Uses are given in 12.7.2.) Users will have to decide whether they are indeed trying to detect or measure small voltages but, if it turns out to be a small current requiring a lower resistance meter, most of the instruments considered have current (low resistance) ranges, ie with which they can be considered as nanoammeters or microammeters. Unless it is provided with a special integrating facility, an electronic galvanometer cannot replace the ballistic use of a spot galvanometer. Replacement for a spot galvanometer used ballistically Spot galvanometers have, on occasion, been used ballistically in schools for the measurement of charge, both the static charge in a capacitor and the charge which flows due to a change in magnetic flux linking the circuit (the current-time integral). This charge measurement can now be achieved more satisfactorily with other instruments: eg, the charge in a capacitor can be measured with a coulombmeter and a magnetic field with a Hall probe or using ac to produce a varying field and connecting the search coil to an oscilloscope. However, at least one of the instruments currently available measures charge by integration and so can be used as a direct substitute for ballistic use of a spot galvanometer. Use of a digital multimeter as a sensitive galvanometer See section 12.3.4 (Digital multimeters, New uses.). Picoammeters The Nuffield specification (1516) stipulates a resolution of 10-11 A or 10-12 A. It is used for measuring the current through an ionisation chamber and the current produced by the photoelectric effect (see Experiments using the meters, below). Some meters advertised as nanoammeters may be suitable and a digital multimeter can be used for one of the ionisation chamber experiments. High impedance voltmeters The Nuffield specification (1509) asks for a full-scale deflection of 1 or 2 V and a high input impedance. For two of the experiments (see Experiments using the meters, below), a digital multimeter with the usual impedance of 10 MΩ will suffice; for only one is a resistance of 100 MΩ an advantage. Schools may not wish to buy an instrument just for one experiment but two combined instruments currently available have this high-impedance voltmeter facility. Mainly Physics 12.7.2 1224 © CLEAPSS 1992 Experiments using the meters Experiments using a coulombmeter Electrostatics (Nuffield) Charge is successively transferred on a metal plate with an insulating handle B16: Spooning from a conductor in the protected positive socket of an EHT supply to an electrode charge in the coulombmeter. The supply should be set at 1 - 2 kV. EHT EHT nC nC B16 E6 E6: The charge To investigate the factors affecting the charge, the unearthed plate is first charged on parallel plates by momentarily touching it with the flying lead . Then its charge is measured by touching it with a stiff wire in the coulombmeter socket. Hands and other objects in which charges could be induced must be kept away from the plates. Plate separation and voltage are varied. E8b: The value of k in V=kQ/r (r is the radius of a spherical conductor.) To measure k, the procedure is the same as for E6. Elementary electrostatics experiments NB. A hair dryer or fan heater is useful for drying insulating rods, especially in damp weather. The negative terminal of the coulombmeter should be earthed. An electrode of reasonable size (eg, comparable to an electroscope plate) should be fitted to the positive terminal. It is convenient for some experiments if the electrode will allow a small tin can to be stood on it. Presence of charge The presence of charge on a rubbed rod and the induced charge on different parts of a conductor produced by induction is easy to show by bringing it up to the electrode. Earthing the plate before removal leads to permanent charging by induction. Charging by contact Charge can be transferred by stroking a charged, insulated rod on the electrode. The transfer is easier if a razor blade is taped to the electrode. Identity of polarities It is possible to show that electrostatic and electrochemical polarities are identical. Because coulombmeters operate at low potential differences, it is very easy to show that, say, the carbon rod of a dry cell has the same effect on a coulombmeter as a rubbed piece of acetate: therefore, both have the same polarity. Charges are not created To show that positive and negative charges are separated rather than created, polythene and acetate rods are first neutralised by passing over a small Bunsen flame. The tips are shown to be neutral by insertion in a small tin on the coulombmeter electrode. They are then rubbed together and reinserted, singly and then together. Distribution of charge on a conductor It is easy to show that the charge is concentrated on the sharper edges and that there is none inside. A small electrode on a insulated handle (a proof plane) is touched on the conductor (a tin) connected to an EHT supply at 6 kV and then on the coulombmeter; this is repeated for various points. © CLEAPSS 1992 1225 EHT Mainly Physics EHT nC nC Charge distribution Faraday’s icepail Faraday’s icepail A conductor on a long insulating handle is used (an expanded polystyrene sphere stuck to a ball point pen case and then painted with Aquadag). The conductor is experiment charged to 6 kV and then carefully lowered into a tin on the coulombmeter. The reading increases as it enters but does not change as it is touched on the bottom, showing that the net charge inside a closed conductor is zero. Experiments with a sensitive galvanometer Potential difference measurements - as a microvoltmeter (Nuffield) Electrical energy stored in a capacitor is converted to heat by discharge through a B19: Energy 2 proportional to V heating coil. The microvoltmeter is used to measure the emf of a thermocouple and hence give the rise in temperature of the bundle of insulated resistance wire through which a 10 000 µF capacitor charged to 25 V is discharged. (Larger capacitors are now available but with lower maximum voltages: a 1 F capacitor charged to 6 V, however, contains more energy than the example above.) D8: Superposition 1 GHz waves are superimposed in various ways and the interference patterns are investigated with a simple diode detector in series with the microvoltmeter. The of waves wavelength of the radio waves is determined from the positions of the maxima or minima. H5a & H5b: The Hall effect The microvoltmeter measures the potential difference across a semiconductor slice at right angles to both a current and to a magnetic field. In both investigations, an approximation to a steady emf is maintained for a H8 & H12: The emf induced in a second or two as a conductor is moved between the poles of a magnet etc. It is measured with the microvoltmeter. moving wire J18a & b; J21b: The microvoltmeter forms part of a simple 1 GHz receiver used to investigate Experiments with guided waves, free waves and polarisation. GHz waves The microvoltmeter is used to measure the emf of a thermocouple and hence give K10: Entropy changes in a gas the change in temperature of air expanded in a bicycle pump with a reversed washer. Current measurement - as a nanoammeter (Nuffield) The galvanometer is used to show that the shuttling ball does, in fact, carry E1: A charged charge which it averages out to give a current reading. Clearly, the resistance of ball between the meter is not important and the galvanometer can be thought of as a nanocharged plates ammeter rather than a microvoltmeter. E7: Factors affecting the charge on parallel plates A capacitor is charged and discharged continually using a reed switch. Again, it is measurement of current rather than potential difference which is needed. See E1. Depending on the size of the capacitor and the frequency of the reed switch, it is possible for the resistance of the nanoammeter to be too high to allow complete discharge. Mainly Physics 1226 © CLEAPSS 1992 Other uses as a nanoammeter Two well-insulated electrodes (4 mm plugs) are held in stands so their tips are a Ionisation few millimetres apart. They are connected in series with a meter set at 100 or produced by a 200 nA, a protective resistance of a few tens of MΩ and an EHT supply. Care must flame be taken that earthed terminals on the supply and the meter are directly connected. A match flame beneath the electrodes produces a reading. A digital multimeter set as a voltmeter can also be used. Conductivity of polythene This exercise is in the original Nuffield Advanced Physics course (Experiment 2.4). The current through a sheet of thin polythene is measured by applying 10 V to films of Aquadag painted on opposite sides. A protective resistance is needed. Ballistic experiments with the sensitive galvanometer The charge in a Measured by discharging it through a spot galvanometer. Better done with a coulombmeter. capacitor Magnetic field strength Measured by moving a search coil connected to the galvanometer out of the field. Can be done only if the meter has a facility for integrating current over time. Mutual inductance By measurement of the charge induced in the secondary by a known current change in the primary. Can be done only if the meter has a facility for integrating current over time. Experiments using a picoammeter (Nuffield) F2: Measurement From the ionisation current, the number of ion pairs produced by an alpha of the ionisation particle can be found and hence an estimate of the energy of the particle. The current produced ionisation chamber containing the source, an EHT supply and the currentmeasuring instrument are connected in series. If a 4 kBq (0.1 µCi) source is used, by an alpha then a meter with a resolution of 1 pA (10-12 A) is needed; with 185 kBq (5 µCi), a particle resolution of 10 pA (10-11 A) is adequate; a digital multimeter can be used. EHT pA F7: The decay of The ionisation chamber, a source of 12 V and the current-measuring instrument are connected in series. Radon is puffed into the chamber. A resolution of 1 pA (10radon and the 12 A) is needed for some radon generators. With a balloon on the outlet of the determination of chamber, it may be possible to inject more radon and use a meter of lower its half-life sensitivity. L2: Simple photoelectric effect About 6 volts is applied between a cleaned strip of magnesium ribbon and a copper gauze bent in a cylinder round it. While the exercise is only a qualitative demonstration, the current-measuring instrument should have a resolution of 1 pA (10-12 A). Experiments using a high-impedance voltmeter (Nuffield) B10: Highresistance voltmeter Two 220 kΩ resistors are connected in series with a 1.5 V cell. Voltmeters with different impedances (moving-coil, oscilloscope, high-resistance voltmeter) are connected in turn and together across one of the resistors, the point of the exercise being to show that the resistance of a voltmeter can affect its reading. A digital multimeter is quite suitable for this. © CLEAPSS 2005 K12: Concentration cell 1227 Mainly Physics The emf generated by this cell with two different concentrations of copper sulfate solution requires a range of 100 mV; 10 MΩ is sufficient resistance for the meter and so a digital multimeter is satisfactory. L3: Colour of light A high-impedance voltmeter is used to measure the potential difference across a potassium photoemissive cell in a very simple circuit. The Nuffield Apparatus and energy of Guide suggests that, with some cells, the high-impedance voltmeter will not have photoelectrons a sufficiently high impedance and the electrometer/dc amplifier is necessary. Other work with a high-impedance voltmeter One can be useful for measurements on high-impedance devices such as operational amplifiers. 12.8 Heat experiments 12.8.1 Calorimetry See also section 9.4 (Calorimetry). Heating coils low-voltage immersion heaters used in calorimetry have been known to m Certain explode because steam has been generated inside them from water entering through cracks. See section 9.10.8 (Electrical heating equipment). Heat and power measurements The most serious experimental errors in measurements involving heat and power are those caused by heat being lost to or gained from the surroundings. How to reduce and/or allow for these is covered in some practical books. However, it is often not appreciated how inaccurate measurements of electrical power can be. This can sometimes be due to the calibration of meters and the nature of the supply: meters for dc are calibrated for smooth dc but sometimes they are used for unsmoothed or partially-smoothed, rectified, full-wave ac, ie smoothed with one or more capacitors and an inductor. It is not surprising that there is a considerable error in the value of the power calculated from the product of two meter readings. While the output of a regulated supply should produce no problems, the power available is often too small to be useful. Most analogue meters when purchased are accurate to about 2% of the full-scale deflection. This implies the possibility of larger percentage errors in readings which are well below full-scale reading. It must be remembered that, if two quantities are multiplied as in a power calculation, the percentage errors are added. Errors in power calculations Suppose the power of a heating coil is being measured with an ammeter and a voltmeter, each with an accuracy ±2.5% full-scale deflection (fsd). The ammeter is 10 A fsd and the reading is 4 A: the uncertainty will be approximately 2.5 × 10/4 = 6.3%. The voltmeter is 100 V fsd and the reading is 12 V: the uncertainty will be approximately 2.5 × 100/12 = 21%. The total uncertainty will be approximately 27%. Corrections to meters for unsmoothed, rectified ac Most low-voltage power units provide a full-wave rectified output of the shape shown below. Although this voltage always remains positive, it can hardly be regarded as equivalent to the steady voltage produced by a car battery. The undulatory nature of this supply is not significant in some school experiments even where they are quantitative, eg, electrolysis. Mainly Physics 1228 © CLEAPSS 1992 Voltage Vp Time However, in experiments involving the measurement of power or the wattage of a bulb, in heating experiments etc, the errors are often significant. The power, P, developed in a load of resistance, R, is given by V2 P= R ie the value of V which must be measured is the root-mean-square value (as for ac). For the wave shape above, Vrms = 1 Vp 2 but a moving-coil meter measures V mean where V mean = 2 π Vp and the difference amounts to an error of 10%. When the reading is squared this error gives rise to a 20% error in the power. Joulemeters 12.8.2 There have been complaints about the lack of accuracy of these, due at least partly to a failure to understand their limitations. Recent models deal better with unsmoothed or partially-smoothed dc than ammeters and voltmeters (see Heat and power measurements above) but accuracy is still affected. Fixed voltage joulemeters are likely to be more accurate than variable voltage ones. With the latter, accuracy is affected if extreme values are chosen: high voltage with low current or low voltage with high current. Users are advised to consult manufacturers’ instructions and keep well within the ranges quoted. Cooling curves is classified as harmful by skin absorption or by inhalation of the m Naphthalene vapour. It should not be used for class investigations of cooling curves in the open laboratory; a fume cupboard must be used for work on this scale. Good alternatives are hexadecan-1-ol (cetyl alcohol), octadecan-1-ol, hexadecanoic acid (palmitic acid) and octadecanoic acid (stearic acid). Smaller quantities than were often used with naphthalene in the past will suffice but a pure grade is necessary to obtain clear, three-part curves. Ethanamide is another alternative but it must be dried in an oven before use. Schools sometimes use paraffin wax or even candle wax but these will not give clear, three-part curves. 12.8.3 Gas laws Experiments to verify the relationships between pressure, temperature and volume of a fixed mass of gas are less popular than they were, largely due to changes of emphasis in the curriculum. Some of the apparatus uses mercury but this presents no serious risk if handled carefully: the apparatus must be properly maintained and kept stored over plastic boxes or other vessels to contain the mercury should there be a © CLEAPSS 2005 1229 Mainly Physics breakage; open tubes containing mercury should be stoppered when not in use; see section 12.13 (Mercury). Boyles’s Law, Bourdon Gauge type Boyle’s Law Boyles’s Law, Constant volume gas thermometer using mercury Charles’s Law There are two types of apparatus available from the normal school suppliers: both apply pressure to air in a graduated tube, the first with an adjustable column of mercury and the second with a car-tyre footpump, the pressure being measured with a Bourdon gauge which gives a direct reading on a dial. (The setting of this gauge assumes a standard sea-level value for atmospheric pressure; the supplier should be informed if a model is required to operate at a high altitude.) The foot pump-Bourdon gauge model helps to establish the principle of Boyle’s Law more easily. A coloured oil to refill it in case of accidents can be obtained from the supplier but any light engine oil would serve. (Two-stroke oil is often of a suitable colour.) The mercury apparatus is more accurate. There are dual-purpose models which can be converted to constant-volume gas thermometers. Constant volume This is sometimes called Jolly’s Air Thermometer. Models are available from the gas thermometer normal laboratory supplier, in one case combined with a Boyle’s Law apparatus. All use mercury. It is important that the gas is dry. Constant pressure gas thermometer m Models are commercially available but it is simple to make suitable apparatus: dry air is trapped with a thread of mercury or oil in a tube which is sealed at one end. It is important that the air is dry and so a thread of concentrated sulfuric acid (CORROSIVE) is sometimes used. The acid is dangerous as its presence is easily forgotten. If it is used for this purpose, the tubes should be stored in a closed container with silica gel and suitably labelled. 12.9 High voltages Electricity supplies with voltages greater than 28 V ac / 40 V dc and capable of delivering more than 5 mA are regarded as potentially dangerous in schools. The most common instance of a high voltage is, of course, the 240 V mains required as a power supply for many items of equipment. This is covered in section 6 (Mains Electricity). However, there are other situations in which high voltages are met. Mainly Physics 12.9.1 1230 © CLEAPSS 2008 Electrostatic generators Electrostatic generators produce a lot of excitement and, apparently, a little hysteria. Van de Graaff generators and Wimshurst machines produce high voltages but their powers are too low for any X-rays produced to be hazardous. Avoiding harmful electric shocks Electrostatic generators used in schools (eg, Van de Graaff generators, Wimshurst machines) do not cause harmful electric shocks because the small electric charges produced lead to currents of well below 5 mA. Only equipment, specifically sold for use in schools, should be used. No attempt should be made to increase the capacitance of the charged system by modifying the apparatus supplied because this could cause discharge currents to reach hazardous levels. capacitors, eg, d-i-y Leyden jars, m Additional Graaff generators or Wimshurst machines. must not be connected to Van de Electromagnetic interference Sparks from electrostatic machines of all types are prodigious sources of electromagnetic interference, which may adversely affect the operation of nearby electronic equipment. Indeed prolonged use might contravene the Electromagnetic Compatibility Regulations. Most importantly, anyone fitted with medical electronic equipment (eg, any type of hearing aid or pacemaker) must keep well away from a working electrostatic generator because the electromagnetic interference may cause these devices to malfunction. In practice, we recommend that, while viewing such a demonstration, a pupil wearing such equipment should keep a minimum of 6 metres from a working generator. Very occasionally, a pupil with a particular medical condition (eg, fitted with a cochlear implant) may have received specific safety advice relating to the use of electrostatic generators; this advice must be heeded. It is wise to warn any computer users in the vicinity that a generator is to be used at a certain time and that their computer data may be corrupted as a result. Nearby computers, interactive whiteboards or similar electronic equipment (eg, a data projector) should be switched off and the generator operated well away from them. Charging a pupil with a Van de Graaff generator Many teachers use the Van de Graaff generator to illustrate the repulsion between ‘like’ electric charges by charging a child, to make his or her hair stand on end. This activity is very safe, provided the guidance below is followed. Safety when charging pupils Only a Van de Graaff generator should be used for this demonstration; Wimshurst machines must not be used. Personal electronic equipment, such as mobile phones, personal organisers and wristwatches should be kept at least 2 metres away. As a precaution, anyone with a known heart condition should not be accepted as a volunteer for this activity. Only one child at a time should be insulated from the ground and charged. When two children are insulated and charged together, the shock experienced on discharge may be sufficient to frighten the child receiving it. No children should be persuaded to take part unless they genuinely wish to do so. © CLEAPSS 2005 1231 Mainly Physics Procedure when charging pupils It is best to select a child with moderately short, dry hair. Make sure the dome or ‘top conductor’ of the Van de Graaff generator is completely discharged. Stand the child on a sturdy insulator (eg, a solid slab of expanded polystyrene or a child’s plastic stepstool). The child places both hands on the dome. The generator is then operated to charge the pupil until his or her hair stands on end; shaking the head may assist in this process. The use of a mirror or perhaps a camera may make the experience more memorable for the volunteer. The charge tends to leak away from the extended hair and the maximum potential reached is probably less than that on the generator when running normally. Once the effect has been observed for a suitable time, operation of the generator should be stopped. The child may now let go of the dome and bring a finger towards an earthed point. He or she will feel an electric shock, similar to that experienced on leaving a charged motor vehicle or touching a metal object after walking across a synthetic carpet. It is possible for the charged pupil to share the discharge experience with a chain of pupils holding hands and standing on the floor. The charged pupil reaches out a finger to the pupil on the end of the chain and everyone in the chain may feel a small electric shock. Less-adventurous teachers may wish to avoid any shocks by simply passing the charged child a wooden metre rule. The charge leaks away via the wood with no sensation at all. Maintenance of Van de Graaff generators A Van de Graaff generator which is properly set up and adjusted may work well one week but very poorly the next. There are two factors which can cause this result. • The presence of dust or dirt on the top conductor and on the supporting pillar. • Dampness which particularly affects the insulating properties of the belt. Keeping the generator clean Consequently, it is vital to keep a generator clean by covering it with a suitable polythene bag between each use. However, this alone may not be sufficient because any surface carrying an electric charge will attract dust and dirt from the air. Before putting the machine away in its polythene bag, it is sensible to lift off the top conductor (usually an incomplete sphere) to clean it and the structure which supports the top roller, collector and conductor. This is done as follows. i) Fold two or three soft tissues into a wad. ii) Moisten the wad with a suitable solvent, eg, isopropyl alcohol, Volasil 244 or Swan lighter fluid. iii) Wipe this over the outside of the top conductor, the surfaces of the support and both sides of the belt. Keeping the generator dry If a cleaned generator still does not work, the problem may be dampness. If this is anticipated, the generator can be placed in a warm cupboard or location overnight before it is required. If the generator is needed immediately, a hair drier can be used as follows. a) Set up the generator and start it running with a spark gap of 5 to 10 mm. b) Play hot air from the hair drier onto the belt, pillar and top conductor for a total of about three minutes or until sparks are observed. c) If there is still no sign of life, try charging up a polythene rod and holding it near to the belt until sparking begins. d) Increase the spark gap to the normal working maximum; if the sparks do not jump the gap intermittently, try further hot air. If the generator makes a crackling noise but no visible sparks, there are probably some dust particles on the top conductor which are causing ‘corona discharge’. These can be removed by repeating the cleaning process. Mainly Physics 1232 © CLEAPSS 2009 Corona discharge can also occur when the generator has been in use for many hours and the top conductor has become roughened by repeated sparking at the same place. Since the top conductor is usually made of spun aluminium, any rough patches should be removed by rubbing the area with wet-and-dry abrasive paper (start with 240 grade and progress to higher numbers to at least 600, all used wet). Finally, use a metal polish, such as Silvo or Duraglit. A generator which has a low-voltage motor in the base to drive the belt has been known to fail because of faults in the transformer / rectifer system powering the motor. This has been known to happen when the generator is run for a long time during an open day. School Van de Graaff generators are not designed for continuous running. 12.9.2 EHT units These give up to 5 or 6 kV. Those supplied for schools have their output currents limited to 5 mA or less and so are completely safe. Any EHT supply without this restriction on current should never be used. 12.9.3 HT units Schools use HT units which have outputs greater than 40 V dc and are capable of supplying currents greater than 5 mA. They are necessary for electrophoresis (see section 11.1.7) and for some discharge tubes, ie, some Teltron tubes which require a current larger than an EHT unit can supply; see section 12.6 (Electron beam and similar tubes). They can be used for Millikan’s oil-drop experiment. units should be handled only by staff and supervised sixth form students and then m HT with extreme care. Leads fitted with 4 mm plugs having sprung shrouds must be used and care must be taken with other devices in the circuit. If units with HT outputs are used with younger pupils for their low-voltage outputs, their HT outputs must be disconnected first, eg, by removing the appropriate fuse. If the fuse is subsequently replaced, a large warning label must be fixed onto the unit. 12.9.4 Induction coils Induction coils produce voltages well in excess of 5 kV, usually at powers sufficient to constitute a hazard, if used to produce discharges in evacuated apparatus. They should not be used for this purpose. School induction coils supplied by established educational suppliers during recent years cannot produce a current above 5 mA and are electrically safe. An older induction coil, or one from another source, is potentially hazardous and must not be used. 12.9.5 Demountable transformers These should be handled by pupils only if they meet the normal earthing and insulation requirements for mains-operated equipment as detailed in section 6 (Mains electricity) and if there is no risk of any secondary coil producing over 28 V ac at 5 mA or more. During class activities with coils and C-cores, care should be taken to minimise the risk that hazardous voltages may be generated. 12.9.6 Power line (National Grid) simulation A simulation of the efficient transmission of electricity along power lines, as used in the National Grid, is a popular and important demonstration in schools. Low-voltage ac from a power pack is sent along a pair of model power lines made from suitable resistance wire.1 1 Typically two 1 metre lengths of 28 swg wire made from a copper-nickel alloy known as Eureka or Constantan. © CLEAPSS 2009 1233 Mainly Physics At the far end, there is insufficient power available to light a bulb brightly, due to heat produced in the lines. If the low voltage is transformed up, transmitted along the same power lines and transformed down at the far end, the same bulb will light brightly. This is because the lines carry a lower current, reducing the heating effect. have been reported where school staff received electric shocks by touching m Incidents uninsulated model power lines during this demonstration. Careful use of one of the control measures listed below has avoided such incidents in recent years. Alternative precautions for the power lines experiment 1. The voltage on an open (uninsulated) power line must not exceed 28 V ac. OR 2. All conductors and terminations operating above 28 V ac must be fully insulated so that they cannot be touched. OR 3. The whole demonstration must be completely enclosed by insulating material, such as a large polycarbonate case, so that all conductors and terminations operating above 28 V ac cannot be touched. Power line apparatus may be purchased ready-made from science equipment suppliers. CLEAPSS previously published information on the construction of both low and high-voltage systems. However we believe that only a few schools built their own systems because the process proved to be time-consuming and nearly as expensive as purchasing a ready-made system. Please contact our Helpline if you are considering making your own system. Low-voltage power lines Some schools choose a low-voltage version (which uses precaution 1 above). The arrangement is based a Nuffield design. If a general-purpose, low-voltage power supply is used then the voltage control must be locked so that it cannot supply more than 3 V ac. A fixed, low-voltage, 3 V ac power supply (often know as a Westminster Power Supply) is preferable. This ensures that the voltage on the open power line cannot exceed 28 V ac. Unfortunately, the transformers in a low-voltage system tend to suffer greater power loss. This means that the differences in power line transmission efficiency are usually less obvious than with a high-voltage system. This ready-made, low-voltage system works from a 3 V ac supply. It uses 2.5 V lamps and two transformer units. The open power lines may either be operated at 3 V or about 22 V ac so that transmission efficiency may be compared. It is supplied by Griffin. www.griffin-education.co.uk High-voltage insulated power lines Most schools choose a high-voltage, insulated version (which uses precaution 2 above) based on a CLEAPSS design. This works at a higher power level and generally gives very much more convincing results than the low-voltage version because a lower proportion of the electrical energy is lost in the transformers. Insulated boxes with transparent lids allow inspection of the transformers and protect users from electric shock. The power lines are covered with insulating sleeving. Mainly Physics 1234 © CLEAPSS 2009 This ready-made, high-voltage system works from a 12 V ac supply. It comprises two enclosed transformers and two 12 V lamps. The insulated power lines may be operated at either 12 V or about 240 V ac so that transmission efficiency may be compared. Manufactured by Electrosound. www.electrosound.co.uk 12.9.7 Household power circuit simulation Teachers sometimes wish to demonstrate a working model of a domestic ring main. Instead of mains power, low-voltage lamps, etc, are operated from a low-voltage laboratory power pack. In order to eliminate the risk of deliberate or accidental connection of such systems to mains electricity, standard mains plugs must never be used. We advise the use of ‘non-standard’ plugs and sockets. These are available from suppliers such as Farnell and RS Components. m When selecting plugs and sockets for low-voltage work, make certain that the plug type is not in use for mains electricity connections anywhere in the school. Examples of non-standard fittings that may be used for household power circuit simulations are shown below. T-shaped earth pin plug and socket manufactured by MK (with product code). 647 WHI K1257 WHI Round earth pin plug and socket manufactured by MEM (with product code). F3368 X120MG Please note - pages 1235 to 1236 have now been deleted. In order to maintain the existing page numbering, the text resumes on page 1237. © CLEAPSS 2008 12.10 1237 Mainly Physics Ionising radiations This has now been deleted because more up-to-date information can be found in CLEAPSS guide L93 Ionising radiations and radioactive substances. 12.10.1 Category C work This has now been deleted because more up-to-date information can be found in CLEAPSS guide L93 Ionising radiations and radioactive substances. 12.10.2 More details on Category C work This has now been deleted because more up-to-date information can be found in CLEAPSS guide L93 Ionising radiations and radioactive substances. 12.10.3 Category B work with open sources This has now been deleted because more up-to-date information can be found in CLEAPSS guide L93 Ionising radiations and radioactive substances. 12.10.4 Electron beam tubes etc See section 12.6 (Electron Beam and similar tubes) and also see the information in guidance leaflet PS 76 Electron-beam tubes: an introduction. Mainly Physics 1238 © CLEAPSS 2008 12.10.5 Apparatus for work with radioactive substances Wire mesh welded to cap Nickelplated brass Handling tools Sprung ring Active foil disc etc Lead cylinder Tube Source in Araldite Source in Araldite Perspex square Since one of the most effective ways of reducing the rate at which radiation is given to a user is to increase the distance between the person and the source, all radioactive sources should be handled with a proper tool. This must allow the source to be held securely and manipulated as required by the work to be done. For the sealed sources used under Category C, of maximum activity 370 kBq, the tool should allow the fingers to be at least 10 cm from the source. Sensors The sensors commonly used by schools and FE establishments include: a GeigerMüller tube, sensitive to β- and γ-radiation but only weakly sensitive to α-radiation; solid-state detectors for α-radiation; ionisation chambers sensitive to α- and βradiations; spark detectors sensitive to α-radiation. Geiger-Müller tube The GM tube most commonly used is the ZP1481, formerly MX168; it is halogenquenched and has a thin end widow. It needs a supply of about 400 V but this is normally provided by the scaler or ratemeter to which its output is fed. The window is protected by a plastic cap which has a grid over the window; it should be kept on whenever possible, At one time a GM tube with a thinner window intended for α-particle detection was sold (MX168/01) but this was unsatisfactory. Also sold to schools in the past were hollow GM tubes to take liquids. However, because they are expensive and because few establishments use them, they are not now available from school suppliers. Solid-state αradiation detector A SS detector is useful for counting α-particles. It is damaged by mechanical shock and is also sensitive to light and UV radiation; it is affected by temperature and humidity. It needs to be handled and used with care and stored in a sealed container in a place not subject to extremes of temperature. Ionisation chamber Usually this takes the form of a cylindrical container which has a well-insulated central electrode, drilled with a 4 mm socket into which can be plugged sources etc and terminating outside in a UHF connector; there will be a 4 mm terminal/socket connected to the wall of the container. Some chambers are supplied with extension electrodes which can be plugged in and also mounted pieces of zinc for photoelectric investigations. The container should have a lid and be fitted with inlet and outlet tubes for connection to a thoron generator. An alternative gauze-fitted lid permits investigations on the range of α-particles. Ionisation chambers need to be used with a sensitive current-measuring device such as a dc amplifier or a picoammeter; see section 12.7 (Electronic meters). Spark counter This is useful for demonstrating the presence of α-particles and measuring their range in air. It consists of two parallel conductors, usually one a metal strip or wire, the other a gauze mounted just above it on an insulated box containing a high voltage capacitor connecting the conductors. The counter is connected to an EHT supply which is adjusted so that sparks occur if a source is brought close. © CLEAPSS 2008 1239 Mainly Physics Measuring instruments The GM tube and solid-state α-detectors are used with scalers or ratemeters and ionisation chambers with an EHT or HT supply and a nanoammeter. A spark counter requires an EHT supply but usually no other equipment. Interfaces enabling the output from GM tubes etc to be monitored by computers are becoming available on the education market. Table 12.7 indicates the equipment needed for a range of typical investigations. Scalers Scalers count pulses. Those available from education suppliers are suitable for use with a halogen-quenched Geiger-Müller tube for which they provide the appropriate HT supply. All are suitable for use with solid-state detectors but sometimes require extra external amplifiers for which they have power outputs. All of the scalers available from education suppliers have timer functions for dynamics experiments; see section 12.4.2 (Timing methods) above. Some also have ratemeter and frequency meter functions. While it is an economy to have several functions served by one instrument, they can justify the increase in price only if used. Also, the more functions an instrument can perform, the more complicated its controls must be, which may cause problems for a busy teacher who uses it only occasionally. Further, to see the same complicated-looking box used in different ways may confuse pupils. A few scaler-timers have a facility enabling GM tube and solid-state detector output pulses to be counted automatically over preset periods of time (eg, 1, 10 or 100 seconds). This facility is useful but may hide what is happening from pupils. Ratemeters Used with a GM tube, these give a direct reading, analogue or digital, of counts per second. Some are designed to work with a solid-state detector and have suitable power outputs for the extra preamplifier needed. Some scaler-timers also have ratemeter functions. Some ratemeters are designed for monitoring, for example, for checking contamination in open source work, and so are portable, powered by batteries. Scaler or ratemeter? Measurements which can be made using a scaler can also be made with a ratemeter although, for α measurements, it must be able to accept pulses from a solidstate detector with a pre-amplifier, ie, must have a suitable input socket, usually a PET coaxial socket, and, preferably, a power output for the pre-amplifier. Similarly, a ratemeter can nearly always be replaced with a scaler. To obtain a count rate with a scaler, the count has to be measured over a period of time, from 10 or 20 seconds up to two or three minutes, and the count divided by the time. The timing is repeated to give a measure of the random variation in readings. The great advantage of a ratemeter with an analogue display (ie, needle over a dial) is that changes in rate are clearly visible. These are less easy to see with the digital displays of scaler-timers fitted with automatic timing to give a ratemeter facility. However, ratemeters with analogue displays have a number of minor disadvantages as listed below. a) b) c) The appropriate count rate range must be set with a switch and the corresponding scale on the dial used. The appropriate time constant must be set with a switch. In effect, this chooses the period of time over which the random variation in count rate is averaged to give a more or less steady reading. At very low count rates, the dial reading is so unsteady as to be unreadable. Low count rates can be measured only by timing the pulses of sound emitted by the loudspeakers with which ratemeters are fitted. Although it is sometimes convenient to have a direct reading of count rate, perhaps to indicate the presence of a radioactive isotope or qualitative changes in incident radiation produced by a magnetic field, a ratemeter should usually be purchased only as a ‘second instrument’, after a scaler whose use makes clearer the concept of count rate and of the random nature of radioactive decay. However, Mainly Physics 1240 © CLEAPSS 2008 the same ideas can be developed by timing with a stopwatch the audible output (clicks) from a ratemeter counting at a low rate. The popularity in the past of the scaler compared with a ratemeter is due to its usual combination with a timer. Since timing is now often done using a computer interface, the relative usefulness of scalers and ratemeters should be reassessed. Table 12.7 Instruments for investigations with ionising radiations Measurement Radiation 1st choice* 2nd choice α β scaler + ssd scaler + GMt ratemeter + ssd ratemeter + GMt α ratemeter + ssd β scaler + GMt scaler + ssd, spark counter, ionisation chamber with gauze window. ratemeter + GMt Number of ions produced by an α-particle α ionisation chamber + ionisation chamber + picoammeter dc amplifier Inverse square law for γ-rays γ Deflection by magnetic fields α β scaler + GMt, (preferably a γ-GMt) ratemeter + ssd ratemeter + GMt ratemeter + GMt, (preferably a γ-GMt) scaler + ssd scaler + GMt Penetrating power α β γ Exponential decay and half-life of thoron Exponential decay and half-life of protactinium α scaler + ssd scaler + GMt scaler + GMt (preferably a γ-GMt) ionisation chamber + picoammeter ratemeter sensor + computer ratemeter + ssd ratemeter + GMt ratemeter + GMt (preferably a γ-GMt) ionisation chamber + dc amplifier scaler + GMt or ratemeter + GMt Counting particles from a source to develop the concept of count rate and to show the random nature of emission Range of particles in air β * Which is considered ‘first choice’ is very much a matter of personal preference GMt: Geiger-Müller tube ssd: solid-state detector Other factors to be considered before purchase of scalers and ratemeters The range of functions to be considered is shown in Table 12.7. Other factors are: the visibility of the display, now usually liquid crystal (the instruments are often used for demonstrations so that size of digits is important); the number of digits (too many can be confusing but so can having to switch ranges); ease of use (instructions printed on the instrument, clear grouping and labelling of sockets and switches). One company sells this equipment in modular form which aids pupil understanding of how it functions. DC amplifier/ electrometer, nanoammeter Combined dc amplifiers/electrometers, used in the past for work with ionisation chambers, were expensive and difficult to use. Picoammeters reading to 10-11 or 10-12 A are cheaper and easier to use. Some meters sold as nanoammeters may be suitable; see section 12.7.1 (The different meters described) above. 12.10.6 Units and definitions This has now been deleted because more up-to-date information can be found in CLEAPSS guide L93 Ionising radiations and radioactive substances. © CLEAPSS 2008 12.11 1241 Mainly Physics Kinetic theory models These models are intended to simulate the motion of gas molecules, that is a random motion of small particles, displaying pressure by the particles hitting against a solid surface. It should be possible to increase the average velocity to simulate increase in temperature and to show that an increase in applied pressure reduces the volume. There are three kinds: commercial models in which motion is produced by a vibrating piston at the bottom of a tube; a d-i-y model using a small loudspeaker fitted into a tube and energised with a signal generator set at a low frequency; a d-i-y two-dimensional model for an overhead projector, energised with a electrostatic generator, eg, a Van de Graaff generator. Mechanical models to demonstrate kinetic theory are not popular with teachers for three reasons: they are noisy; liable to go wrong, perhaps with the balls spilling on the floor; liable to confuse pupils who mix up the theoretical kinetic theory model with the mechanical models they have been shown. Some teachers prefer computer simulations1 which are particularly effective if a large-screen monitor is available. These consist of a transparent tube, square or circular in cross section, with a viCommercial brating piston at the bottom end. This piston keeps small spheres, eg, 3 mm models Loudspeaker model phosphor-bronze ball bearings, in motion. This will keep another piston floating; this is usually of card or expanded polystyrene. By loading this piston with extra card disks, etc, it is possible to simulate Boyle’s Law: the greater the weight of the piston, the smaller the volume occupied by the moving balls. The piston is powered by a small electric motor which can be speeded up by increasing the voltage, simulating the increase in average kinetic energy of the balls with temperature. In order to keep the cost down, the motor tends to be an inexpensive type, insufficiently robust to withstand careless treatment. Its life can be extended by the regular lubrication of moving metal parts and care when starting. If the motor stalls, the supply must be switched off. A small loudspeaker is clamped horizontally and has a transparent tube sealed above it, with Plasticine, Blu-Tac etc. The tube can be rigid Perspex or made out of a thin sheet of transparent plastic, eg, an OHP sheet, bent round into a tube. The loud speaker is energised by the low impedance output of a signal generator. The ‘molecules’ need to be light; puffed wheat is worth trying. They will support a floating piston; see the diagram. Kinetic theory models Clamp not closed Wire Card Expanded polystyrene piston To Van de Graaff Petri dish Tube made of sheet plastic Loudspeaker Diaphragm Crank on small electric motor Typical commercial model 2-dimensional OHP model 12.12 To signal generator Cut-outs with teeth covered with foil D-I-Y models Two zigzag cut-outs of wood or expanded polystyrene have their ‘zigzags’ covered with kitchen foil. They are put in a large Petri dish placed on an overhead projector and connected to a Van de Graaff generator. Silver ball cake decorations are poured between the cut-outs. Lasers A low-power, continuous-wave, helium-neon laser is useful for teaching wave optics because it produces a beam of light which is: highly monochromatic (very narrow spread of wavelengths) and coherent (the same phase) both across the beam and with time; 1 For example, Particles and Diffusion or Kinetic Theory and the Gas Laws from AVP. Mainly Physics 1242 © CLEAPSS 2008 This page has been deliberately left blank. Pages 1243 to page 1252 have been deleted. The text resumes from the next page which is page 1253. © CLEAPSS 1992 1253 Mainly Physics of high intensity; of small divergence (typically 1 mm in diameter when it leaves the laser, 5 mm in diameter 4 m away). of its intensity, care must be taken to prevent a beam from a laser falling on m Because the eye directly or by reflection, as it could damage the retina. In fact, it is now known that eyes could be damaged by the beam from the low power Class II lasers used in schools only if a deliberate attempt were made to stare at the laser along the beam or to concentrate the beam from a IIIa laser with an instrument; the normal avoidance mechanism of the body would prevent damage in other cases. Nevertheless, it is good practice to take precautions to avoid a beam falling on the eye. Lasers should be positioned so that beams cannot fall on the eyes of those present, ie, are directed away from spectators. Ancillary optical equipment must be arranged so that reflected beams cannot reach eyes. Ten years ago, the lasers affordable by schools would work for only a few years and then only if run periodically. Those currently available have longer lives and do not require this. DES Administrative Memorandum 7/70 This advises on the use of lasers in schools and FE colleges. It confines use at school level to teacher demonstration. Safety rules include the avoidance of direct viewing; screening pupils who should be at least 1 m away; keeping background illumination as high as possible (so that eye pupils are as small as possible); displaying warning notices; keeping lasers secure from unauthorised use or theft; use of goggles by the demonstrator. Because of the more recent realisation that the lasers used in schools and colleges will not harm an eye by a beam accidentally falling on it, these rules are not strictly necessary but following them is good training. However, goggles are expensive, impracticable and do not reduce hazard as they make it harder for the demonstrator to see the beam, stray reflections etc. What to look for when buying For school or college science, a Class II helium-neon laser with an output of nearly 1 mW is advisable. While a Class IIIa laser can be used safely, more powerful lasers should not be used. The laser should be fitted with a key switch to control its mains supply to prevent unauthorised use. It is not necessary for the beam to be plane-polarised; if this is required, it can achieved with a Polaroid sheet. While it is interesting to be able to send messages along a laser beam, it is a luxury to buy a laser with built-in modulation; external methods may be used. 12.12.1 Use of lasers A laser is best arranged for demonstration pointing away from those observing, at an angle to the line of sight so that the demonstrator does not block their view. It should be placed on a board, big enough to take accessories, which can be tilted upwards at one end to point to a raised screen. This screen, which can be a piece of drawing paper on a board, should usually be 2 to 4 m away. Kits of accessories are available from suppliers but, while adjustable slits etc are very convenient, they are expensive and can be improvised. Slides for diffraction patterns and holograms are less expensive and worth buying. It is important that adjustments can be made easily to the relative positions of laser and accessories so that they can be lined up quickly and accurately. Normal holders are too high for most laser beams but the laser can be raised on blocks of wood, books etc. Adjustable slit This can be improvised using two razor blades. These can be held on a magnet which allows easy adjustment, stuck to a flat metal or plastic strip with thick grease or over a circular hole in a piece of card with Plasticine. Mainly Physics Table 12.8 Effect Width of slits, diameters of pinholes etc 1254 © CLEAPSS 1992 Basic demonstrations of wave optics with a laser Apparatus* Arrangement Slit, pin etc Holders +10 D lens u Note A sharp image is formed on the screen and then: v (Useful if λ is to be determined ) To obtain a wider beam (For slits more than 1 mm apart etc) Young’s fringes Diffraction at a single slit, pinhole etc width = u/v × image width -5 D lens +10 D lens Holders 10 cm Slit(s) on slide, etc Holder Beam widening arrangement if needed Multiple slits Slits on slide Holder Beam widening arrangement if needed (above) Diffraction grating Diffraction grating Holder 10 cm Approx 3 m Adjust the position of the 10 cm lens to obtain a sharp spot on the screen before slits etc are placed in position. 2-4m See text for preparing slit, pinhole etc. Approx 3 m 2-4m Arrange grating lines to be horizontal, so that diffracted beams are not directed at spectators. Wall and ceiling 25 cm Glass millimetre scale Millimetre scale as a diffraction grating Adjustable table Beam widening arrangement if needed (above) P Scale Thin film interference Thin film (see text) +10 D, -5 D lenses Holder 3 m at least D Enables wavelength to be determined. Use whole length of lab. Beam glances along scale. λ = O d × OP × NP /2D2 N d is separation of rulings Safety screen 10 cm Approx 1 m 50 cm + * A laser and a screen are needed in each case. λ is the wavelength of the light, 632.8 nm. Double slits etc These can be ruled with a knife or razor blade on a microscope slide coated with Aquadag (colloidal carbon) or cut in thin card. © CLEAPSS 2005 1255 Mainly Physics Pinholes etc These can be made in pieces of cooking foil. Objects, such as ball bearings can be stuck on microscope slides. Thin film A suitable film is that between a microscope slide and a piece of good quality glass, held together with elastic bands. For Newton’s rings, use a 0.1 D lens on a microscope slide. A laser beam can be made visible by blowing smoke or making dust in its path. Its path through a tank of water can be shown by adding a little milk. The principle of optical fibres can be shown by directing a laser beam down a flexible plastic tube containing water to which a little milk has been added. Some demonstrations with a laser are outlined in Table 12.8. For details and further uses, consult one of two excellent booklets: A Manual of School Laser Demonstrations, W K Mace, from Philip Harris or Experiments with the Griffin Laser Accessories Kit, G E Foxcroft, from Griffin & George. 12.13 Mercury main hazard m The metallic mercury. is the inhalation of mercury vapour from uncovered surfaces of However, with a few simple precautions, mercury can be used safely. It must be realised that mercury vaporises slowly and so its vapour can be removed as it forms by moderate ventilation. Clearing up spills of mercury is covered in section 7.7 (Chemical spills). Risks in using mercury and its compounds, with the precautions necessary, are outlined on the Mercury Hazcard. This section of the Handbook considers the use of metallic mercury in school physics but the advice will also be relevant to chemistry and biology if mercury manometers are used. While the main hazard is the inhalation of mercury vapour from uncovered surfaces of metallic mercury, there is another hazard associated with metallic mercury, its absorption through the skin. This can occur if droplets of mercury remain behind finger nails or fall into a shoe. Therefore, the wearing of rubber gloves and hand washing are recommended. Swallowing a few grams of metallic mercury is not a serious hazard; nevertheless, should it occur, medical advice should be sought. Mercury vapour levels Mercury was previously given an Occupational Exposure Standard of 0.05 mg m-3 long-term exposure limit, 0.15 mg m-3 short-term exposure limit. It has not yet been assigned a Workplace Exposure Limit, so we will continue to refer to the older standard for guidance. CLEAPSS offers a mercury monitoring service and, if the general level detected in a room is more than 0.01 mg m-3, ie, 1/5 of the OES, it recommends that steps are taken to lower the level. Any traces of mercury must be removed or sealed over or the ventilation improved until the level is substantially lowered. CLEAPSS has, over the years, monitored the mercury vapour level in some 10 000 science rooms; only in about 1% of these rooms was the general level above 0.01 mg m-3. Mercury poisoning In schools, cases of mercury poisoning from the inhalation of its vapour are very rare and very mild Since the symptoms of chronic mercury poisoning are not specific (fatigue, lethargy, headaches, nausea, diarrhoea, sore gums, muscular tremor, intellectual deterioration, irritability, loss of confidence etc), it is very difficult to identify without hospital tests. In mild cases of poisoning, the only kind which could occur in schools, the mercury is excreted rapidly so that removal of the patient from the vapour results in complete recovery. Mainly Physics 1256 © CLEAPSS 1992 12.13.1 Situations where care is needed Mercury vapour can affect health if mercury surfaces of moderate area are exposed over a period of time in a room with poor ventilation in which a person spends long periods. The rate of evaporation increases with temperature. Mercury in apparatus etc Vessels and apparatus should be sealed and steps taken to ensure adequate ventilation before mercury is handled. Mercury in between floor boards etc Mercury can sometimes be found in cracks between floor boards or blocks, in benches, in drawers and cupboards, in corners, in ducts, around the edges of plug holes, in sink traps etc. Old buildings tend to have more of the places where mercury can lurk than new ones. More is likely to have been spilt in physics laboratories and preparation rooms than other science laboratories and, the older the building, the more time there is for it to have been spilt. Attention should be paid to old laboratories converted to classrooms or other rooms. High temperatures The saturation vapour pressure of mercury increases rapidly with temperature. Raising the ambient temperature of a room will increase the mercury vapour level and a hot pipe or poorly insulated oven near traces of mercury can have a big effect. Drops of mercury from a broken thermometer must not be swept under the radiator! Poor ventilation Mercury evaporates slowly so that, with normal ventilation through gaps around windows and doors, the concentration of vapour at face height will be low despite the presence of mercury in cracks in the floor, etc. SSERC1 suggests that, before the ventilation of a room is bad enough to allow a dangerous concentration of mercury vapour to build up, body odour will make it unpleasant to teach in. Nevertheless, if it is suspected that there are traces of mercury in a room, it must be kept well ventilated. Long periods of exposure A concentration encountered only a few hours a week may produce no ill effects; breathed in for seven hours a day for five days a week it may be harmful. This suggests that technicians are more at risk than teachers and pupils and special attention should be paid to preparation rooms during monitoring. 12.13.2 Precautions when handling mercury Monitoring and health surveillance Monitoring with an ultraviolet absorption meter is necessary only in poorly-ventilated rooms with places where mercury may be present: eg, cracks in floors and duct covers, false floors under bench cupboards, platforms etc. It should be carried out if there has been a history of carelessness with mercury or visible traces suggest that it is there. In recently-built laboratories with crack-free floors, much can be achieved with a thorough visual inspection. If a person is suspected of having been exposed to high levels of mercury vapour, the level of mercury in his/her body should be checked at a hospital. Spills Spills should be cleared up carefully: see section 7.7 (Chemical spills). Detailed precautions Stock control 1 Stocks of mercury and, where possible, apparatus containing mercury should be kept locked up. A signing-out system may be thought advisable. SSSERC Bulletin, April 1977; see also Borrows, T P, Precautions in the use of mercury, Education in Science, 72, April 1977, p20. © CLEAPSS 1992 1257 Mainly Physics The gross weights (strictly masses) of bottles of mercury (and, perhaps, of apparatus containing large quantities of mercury) should be recorded. This enables thefts and unrecorded spills to be detected and the magnitude of spills to be assessed. Weights should be recorded in the laboratory stock book as well as on the bottle or apparatus. (Screw eyes inserted into the backs of some pieces of apparatus will enable them to be weighed easily with a spring balance.) Spills should be recorded in the laboratory accident book or safety file; entries should include date, exact place (which part of the laboratory), extent of loss (thermometers should be assumed to contain 5 g), action taken, by whom. Periodic checks of the gross weights of stock bottles and apparatus should not take long and will reveal any unrecorded losses of mercury. The spills record will indicate any areas where mercury spills have occurred; several minor spills in one area would justify careful inspection and perhaps monitoring of the vapour level. Containers Cases have been reported of 500 ml polythene bottles containing mercury splitting along the seams. Bottles should be examined regularly for weak seams. 50 ml bottles are less liable to develop weak seams. All bottles should stand in a dish. Cleaning and disposal Schools should not attempt to clean mercury except to remove dust from its surface by shaking it gently in a sealed flask with a crumpled length of Sellotape. It may be dried by laying filter paper on its surface. Schools should keep a bottle into which mercury collected up from spills can be stored before disposal through a disposal contractor or scrap metal dealer. It is now difficult to have small quantities of mercury purified. Precautions when in use Mercury should never be heated in an open vessel or in any closed vessel or apparatus which might break or leak except inside an efficient fume cupboard. Preparing mercury by heating mercuric oxide should be carried out only in a fume cupboard. It is advisable to wear latex gloves when handling mercury to prevent traces being trapped under finger nails. Polythene gloves increase the risk of apparatus being dropped. If gloves are not worn, hands should be washed after handling mercury, with a nail brush and attention paid to finger nails, particularly before smoking. Mercury should be kept away from metal objects including rings and other jewellery; it readily amalgamates with many metals. A gold ring may be gently heated over a Bunsen burner in a fume cupboard to drive off mercury. If overheated, gold will discolour but this discoloration polishes off quickly in normal wear. Mercury should be handled over a large, deep tray with a smooth impervious surface. Metal is not suitable and, if wood is used, it should be given several coats of polyurethane varnish or paint or a replaceable lining of thin polythene sheet. Mercury-in-glass For precautions when using these, see section 10.7 (Thermometers). thermometers Setting up a barometer This interesting and instructive demonstration is well worth doing. The room should be well-ventilated and the demonstration should be carried out over a large tray covered with 5 mm of water. Rubber gloves should be worn or hands washed thoroughly afterwards with a nail brush and attention paid to finger nails. The Nuffield-pattern trough (a scooped out wooden block) minimises the quantity of mercury needed although, as it cannot take all the mercury in a barometer, it makes dismantling more difficult. Inexperienced teachers will need to be shown how to do this demonstration1 and inexperienced technicians how to clear it up. To let the mercury out of a barometer 1 Some teachers may prefer a method attributed to E M Somekh. A section is cut from the top of a bung to form a rubber disc and the cut surface of the disc is attached with adhesive to the bottom of the vessel acting as a trough. The trough is inverted and the rubber disc pressed over the end of the barometer tube, filled proud. Both are then inverted together, an assistant pours a little mercury into the bottom of the trough and then the tube is lifted off the rubber disc. Mainly Physics 1258 © CLEAPSS 1992 when the trough is too small to take all the mercury, a finger should be inserted over the end and the mercury released into a vessel with a narrow neck, eg, a 250 ml conical beaker, over the water-covered tray. If the barometer tube, trough, etc are really clean beforehand, clearing them of traces of mercury afterwards is much easier. Made-up barometers, Boyle’s Law apparatus, eudiometers, gas thermometers It is important that, where possible, versions of apparatus which do not require mercury or which require the minimum of mercury should be purchased. Manometers These should be stored and used as above. Again, exposed surfaces should be covered with a centimetre of di-n-butyl phthalate (not if it can come into contact with pvc tubing) or distilled water. Alternatively, arms should be stoppered or covered with inverted test tubes when not in use. Apparatus should be stored on a tray and used over a large tray covered with 5 mm of water. Exposed mercury surfaces could be covered with a centimetre of di-n-butyl phthalate (not if it can come into contact with pvc tubing) or distilled water; the disadvantage of water is that it is likely to evaporate during storage. Whichever liquid is used, the hydrostatic pressure exerted by the layer may well need to be taken into account in measurements. Alternatively, when the apparatus is not in use, reservoirs and tubes should be stoppered or covered with inverted test-tubes. The apparatus must be checked periodically to ensure rubber tubing, taps, etc are in good condition. PVC tubing is likely to last longer than rubber tubing but is less flexible; it is damaged by dibutyl phthalate. With 8 ft water manometers available, it seems unnecessary for pupils to blow into mercury manometers. If they do, the mercury surfaces must be covered and at least 200 mm spare height allowed; pupils must be carefully supervised. Electrical These items include commutators, Barlow’s wheel and Faraday’s experiments experiments and with wires rotating round magnets. None is necessary as all have reasonable substitutes. apparatus Barlow’s wheel produces a high concentration of mercury vapour and should never be used except on a tray in a fume cupboard with a face velocity of at least 0.3 ms-1. Alternatively, 1M sulfuric acid saturated with copper sulfate can be used. The liquid tray should be lined with copper foil, which should be the positive connection with the wheel negative. Although it is valuable to reverse polarity to show opposite rotation, this should not be done for long. Any demonstration of Faraday’s experiments should be over a tray inside an efficient fume cupboard; they may be attempted with copper sulfate solution as above. Apparatus should be cleared of mercury before storage; alternatively, it can be sealed in a plastic box or a plastic bag. Ovens and incubators These are easy to contaminate with mercury by breaking a thermometer in them. Once contaminated, they are difficult to clear of all traces and their raised temperature means that, close to them, the mercury vapour level will be high. Particularly prone to thermometer breakage are combined incubator-ovens: a 100 °C thermometer is inserted to monitor incubator temperatures and bursts when the oven switch is changed to produce temperatures above 100 °C. Schools should not use mercury thermometers for ovens and incubators. They should use alcohol thermometers for incubators and bimetallic dial thermometers or electrical thermometers for ovens and combined incubator-ovens; see section 10.7 (Thermometers) or CLEAPSS Guide R157, Thermometers. Any locking device on an oven thermostat control should be screwed up tightly to discourage unauthorised alteration. © CLEAPSS 1992 1259 Mainly Physics Measuring the diameter of a capillary tube: surface tension To measure the diameter of a tube for a surface tension determination, break at the meniscus position and measure the diameter with a travelling microscope. It is more satisfactory not to use thick-walled capillary but to prepare the capillary fresh for each experiment by drawing out a piece of small diameter tubing. Measuring the diameter of a capillary tube: viscosity There is no satisfactory alternative to the mercury method. The tube should be dipped into mercury in a test-tube and withdrawn with a finger over the end. The test-tube and a small crucible for weighing can be kept in a sealed plastics sandwich box which will also serve as the tray. Amalgamation of It is better not to amalgamate. Zinc sulfate may be used instead of acid in the zinc rods for cells Daniell cell and the rods removed from the Leclanché cells when not in use. Floating metals on mercury Metals are sometimes floated on mercury as a density demonstration. It is safe to use iron, steel or brass coated with lacquer but never aluminium which could catch fire. Alternatively, Wood’s metal, heated on a water bath, may be used in place of mercury. Boys’ method for The radius of curvature of a lens may be measured by putting black paper behind it when working in semi-darkness with an illuminated pin. measuring R Sinks CLEAPSS monitoring for mercury vapour levels shows that, in a small proportion of laboratories, significant levels of mercury vapour are found in sinks, particularly if these are covered. If the level in a sink near the waste outlet is below 100 µg m-3 (or more for a covered sink), this normally has no detectable effect on the level in the air around the laboratory that teachers, technicians and pupils are actually breathing. However, some will still wish to find and remove the mercury causing it. The advice that follows is the best on offer at present for decontaminating sinks without a major dismantling operation; it is not always successful. The first priority is to ensure that the sink itself is free of mercury. Likely hidden areas of contamination are around the rim where this adjoins the bench or around (even underneath) the flange of the waste outlet. If any mercury is found it should be removed using a pooter or copper/acid paste. See section 7.7.4. Next, if there is a trap (one trap may serve several sinks), this should be removed if possible. Place a bucket or bowl under the trap before removal to catch any spilt waste. Plastics traps should be removable using the hands alone but, if the unions have been over-tightened, tools may be used, care being taken not to crack the plastic. Metal traps may well be corroded and in some cases may be impossible to reassemble after dismantling. Excess water may be decanted from the trap which should then be taken outside and the sludge likely to be found in it put into a thick polythene bag. Mercury may well be visible in the sludge and gloves should, of course, be worn for this operation. The trap can then be rinsed thoroughly over an outside drain using water from a hose. A large test-tube brush is helpful for scouring out the trap. When the trap has been refitted to the sink, approximately 1 l of lime/sulfur mixed with hot water to form a slurry of consistency similar to custard should be poured down the waste outlet and left for as long as possible before the sink is used again (preferably a week or more). Where several sinks feed one trap, slurry should be poured down each one. If the trap is not removable or there is no trap, the following procedure should be adopted; it is only sometimes successful. First fill the sink and empty it several times; the flood of water should flush out some light debris. At least 1 l of lime/sulfur slurry should then be poured down the waste outlet and left for at least a week. If the trap is large or pipe runs are long, use more slurry. Carpets Any carpet contaminated with mercury should be disposed of. Vacuum cleaners should never be used on a carpet thought to be contaminated with mercury. Mainly Physics 1260 © CLEAPSS 2005 Carrying mercury It is obvious that clearing mercury from inside a car is a very difficult procedure. If mercury has to be carried in a car, a polythene bottle inside a Merck ‘Safepak’ in a car should be used. Mercury-containing apparatus should always be transported empty. Vacuum cleaners Since normal vacuum cleaners become hopelessly contaminated if they are used to suck up mercury, they should never be used. If one becomes contaminated, it must be disposed of. 12.14 Oscilloscopes 12.14.1 Use The following books have been found useful: Title Author/ Date/ISBN Publisher Note Student Oscilloscope Handbook Unilab Unilab Describes the use through instructions for 20 typical experiments. Oscilloscopes How to use them, how they work Ian Hickman, 1990, ISBN 0434908088 Well illustrated and very informative, on oscilloscopes and Heinemann their components. Not for beginners but very helpful to the Newnes but available from RS interested teacher who is not an expert in electronics. Obtaining a trace It is not possible to give general instructions to obtain a trace on the screen: the user must refer to the oscilloscope handbook. However, if the handbook is missing, the following procedure could be tried. Turn the brightness and focus controls fully clockwise. Set the shift controls near their mid positions. Select a Y gain (or ‘sensitivity’ or ‘attenuation’) of about 1 V/div. Select a time-base speed (or frequency) near the middle of the range available. Switch on. (The mains switch may be on the back or combined with another control.) Allow the tube to warm up and, if no trace appears after two minutes, look for the time-base trigger controls: try changing a switch from ‘ext’ to ‘auto’ or vice-versa. If no trace appears, make adjustments to the shift controls and again change the trigger controls. (A ‘beam finder’ or ‘trace locate’ button may help here.) If still no trace has been obtained, try connecting a wire to the Y input socket (the centre contact if it is a coaxial type) to act as an aerial and try increasing the Y gain (0.1 V/div). When a trace has been obtained, the brightness, focus and shift controls can be used to obtain a bright, sharply-focused trace centred on the screen. To measure potential difference and current - dc and ac Potential difference - dc Obtain a horizontal trace on the screen. If the trace disappears in the absence of a Y input signal, switch the time-base off and obtain a well-focused spot (not too bright). © CLEAPSS 1992 1261 Mainly Physics Set the Y input switch to ‘gnd’ or ‘earth’. If there is no earthed condition on the switch, set it to dc and short-circuit the input. Use the Y shift control to set the trace on to a low graduation on the graticule. Set the Y input switch to dc (or remove the short circuit) and connect the Y input to the dc potential difference to be measured. If the trace deflection is too small or too large for convenient measurement, adjust the Y gain to obtain a convenient deflection and then check the setting with the input earthed. 'Internal earth connection' 0.1 pd ac dc gnd V/cm The voltage is measured by counting the number of divisions through which the trace has been deflected, y, and then this is multiplied by the gain setting, say 0.1 V/div. ie, pd = y × 0.1 volt If the Y gain is continuously variable, or a variable control is not set to the calibrated position when the measurement is made, it is necessary to calibrate the oscilloscope by measuring the voltage required to produce a convenient deflection. This enables the sensitivity to be calculated in volts per division. Potential difference - ac The oscilloscope is prepared as above except that the trace is set near the centre of the screen. (NB The Y input switch is still set to dc.) Signal generator ~ A 0.2 ac dc gnd B V/cm pd C Connect the Y input to the ac potential difference to be measured. The trace should spread in the vertical direction. Select a Y gain which enables the spread to be measured. Either the time-base can be switched off to give a vertical line or a low time-base speed can be selected, so that the peaks of the waveform are close together. Set the lower peaks to a graticule graduation and count the divisions up to the upper peak level (y). The peak-to-peak value of the ac is then the product of y and the gain setting (say 0.2 V/div) peak-to-peak ac pd = y × 0.2 volt Mainly Physics 1262 © CLEAPSS 1992 Care must be taken in assuming that the rms value is this peak value divided by √2; the apparent rms value assumes a perfect sine-wave shape. In the case shown in the figure below, the true value is lower; in other cases it could be higher.) NB The peak-to-peak reading is different from that which would be obtained from an ac voltmeter which could give any one of the following: peak value; mean rectified value; true root-mean square value; apparent root-mean-square value. Apparent rms value 0.7 x peak Mean rectified value Earthing problems Peak to peak True rms value The circuit above also illustrates a common problem in measuring with oscilloscopes: one terminal of this signal generator is earthed and one terminal of this oscilloscope is also earthed. If an attempt is made to measure the voltage across AB instead of BC, the two earth connections short-circuit resistor BC and so change the circuit under test. The following methods may be used to overcome this problem: 1. measure VDC, then VAC and calculate VAB ( = VAC - VBC) but this only works if VAB is in phase with VBC; 2. isolate the signal generator from earth using a power-isolating transformer between the generator and the mains; do not simply remove the earth connection in the mains plug as this would be dangerous; 3. isolate the circuit from earth using an audio-isolating transformer between the generator and the circuit; 4. use an oscilloscope with a differential-input amplifier (easy at low sensitivities but expensive at high sensitivities); very few oscilloscopes recommended by CLEAPSS, ie mentioned in CLEAPSS Guide R31, Oscilloscopes for Schools, have this feature. None of these methods is universally applicable and in different demonstrations and class exercises different solutions will be appropriate; however, method 3 is often the easiest and cheapest to implement. Current - dc and ac The oscilloscope is essentially a voltmeter but it can be used to measure a current by measuring the potential difference across a resistor of known resistance. In many circuits, a suitable resistance will be present anyway but, if a resistor has to be introduced, it should be small compared with other circuit resistances. In the 15 kΩ 1 kΩ Y Input ~ Measuring collector current Y Input ~ 1 kΩ R Measuring base current © CLEAPSS 1992 1263 Mainly Physics left circuit just above, the oscilloscope is being used to measure the total current through the collector load: suppose the mean deflection measured is 4.5 divisions at 2 V/div. Mean pd = 4.5 × 2 = 9 V. Since resistance is 1 kΩ, mean current = 9 mA. The alternating current component can be deduced by a similar method; it may be convenient to remove the dc component by switching the Y input to ac. In the right circuit, the base current of the transistor is to be measured and resistor R has been introduced to do this. The value of R is chosen to be small compared with the effective resistances but not so small that the voltage across it cannot be measured with the oscilloscope. R could be 50 Ω in this case, assuming an effective base–emitter resistance of 10 kΩ and a signal–source resistance of 1 kΩ. To display wave shapes The shapes of the waveforms generated by a modern signal generator, sine, square or triangular, can be demonstrated by connecting the signal to the Y input. The trace must be ‘stabilised’; ie, made to appear stationary, and, since the procedure varies from instrument to instrument, the oscilloscope handbook should be consulted. In the absence of the handbook the following can be tried: select a time-base speed which gives a recognisable trace even if it is not stationary; select ‘internal’ on the ‘trigger’ or ‘synch source’ switch; select ‘automatic’ as the time-base mode or ‘normal’ if automatic is not available; if necessary, adjust ‘trigger level’ or ‘synch level’ controls for stability. In teaching electronics, sound, oscillations and waves Electronics An oscilloscope, preferably dual trace, is useful for comparing the input waveform with the output from an electronic circuit to illustrate amplification, pulseshaping, delay, etc. Sound It is often useful to feed the oscilloscope from a microphone receiving sounds from musical instruments or a loudspeaker. In this case a screened lead should be used between the microphone and the Y input socket (which should be a coaxial one). Oscillations The oscilloscope can be used with a suitable transducer (eg, Harris Electronic Arm) to display and analyse the motion. Waves The oscilloscope forms a useful display whether the waves are sound (using a microphone), radio or microwave (using a diode detector). Traces on the oscilloscope screen can be used as convenient analogues of wave motion during discussion or revision of basic concepts. Beats, standing waves and modulation can all be illustrated. NB Students have been confused by this use of the oscilloscope and teachers should emphasise that the trace is normally a plot of a voltage against time not displacement against distance. To measure time interval, frequency and phase shift These measurements require a calibrated time-base and it is recommended that at least one oscilloscope in the school should be of the type which is always calibrated, ie, there is no continuously variable control of time-base speed. The most common mistake made by users of the oscilloscope is to make measurements assuming a calibrated setting only to find afterwards that it was offset from the calibrated condition. Mainly Physics Time intervals 1264 © CLEAPSS 1992 The oscilloscope is very well adapted to the measurement of time intervals which are too short to be measured by means of a stop watch or even a millisecond timer, particularly where that time interval occurs repetitively. For example, the figure shows how the pulse length produced by a monostable circuit (eg, Nuffield Advanced Physics Electronics Kit module) can be checked. The time-base is triggered by the start of the pulse and a mode switch would be set to ‘normal’ or ‘triggered’ so that the resting position of the beam is visible as a dot at the origin. This can then be set onto a vertical line on the graticule so that the number of divisions, n, corresponding to the pulse length can be counted. For a time-base speed of 1 ms/div, the pulse duration = n × 1 ms. Checking the pulse from a monostable circuit Monostable 2 V/div I/P 1 ms/div O/P Y I/P Trigger normal +ve If the time-base cannot be operated in the ‘normal triggered’ mode, it may be necessary to select a time-base speed such that two pulses are displayed, the first having an uncertain start time. Measurements would then be made on the second pulse. Frequency measurements These may be made in the same way as time intervals by calculating the reciprocal of the period of a waveform. The Lissajous’ Figure method of measuring frequency is discussed below. Phase shifts 5 V/cm Y1 ~ 5 V/cm Timebase set for stable display Y2 These are most easily measured and demonstrated using a dual-trace oscilloscope as in the diagram above. However, to show the phase difference between the voltage across a capacitor (or inductor) and the current flowing through it, the circuit below would be appropriate. The sensitivity of the Y2 channel is 100 times that of the Y1 channel so that the voltage across the resistor is negligible compared with that across the capacitor. Hence Y1, although actually displaying the voltage across the whole circuit, effectively shows the voltage across the capacitor. (This RC circuit shows very well the increase in current as the frequency is increased.) © CLEAPSS 1992 1265 Mainly Physics Phase difference in an RC circuit 1 nF ~ 1 V/div Y1 5 kHz 150 Ω Y2 10 mV/div It is possible to demonstrate these phase shifts using a single beam oscilloscope with an ‘external trigger’ facility as shown in the circuit below but this is a much less effective demonstration. The Y input is first connected to C and the oscilloscope is set to give a stable display as shown. Then the Y input is connected to R and, when adjusted, the display will show a trace starting at a peak. C 1 nF ~ R 5 kHz Y 150 Ω Trigger selector to "Ext" Ext trig To measure the velocities of sound and of electromagnetic waves Many methods of measuring the velocity of sound using an oscilloscope have been described in text books and the School Science Review. These fall into three groups: pulse methods; continuous travelling wave methods; standing wave methods. Pulse methods These are easiest to understand, being a development of the ‘clap and stopwatch’ method. Nuffield O-level Physics Year IV Expt 93b uses the oscilloscope itself to generate the pulses from the flyback at the start of the time-base sweep. Some oscilloscopes do not have a sweep output facility but a step synchronised with time-base (primarily used for calibration) will do just as well. If the oscilloscope has no output at all, Mackay1 gives a simple circuit for producing suitable pulses. Continuous travelling wave methods These compare the phase of the sound wave at the transmitter with that at a known distance; they are modern versions of Hebb’s method (1904). A dual-trace oscilloscope allows the phases to be compared without introducing Lissajous’ Figures but these allow more precise location of the in-phase position. Both techniques are described briefly by Gillespie2. 1 Mackay, R C, Measuring the velocity of sound, School Science Review, June 1974, 55 (193) p785. 2 Gillespie, A, Velocity of sound, School Science Review, June 1973, 56 (197) p780. Mainly Physics Standing wave methods 1266 © CLEAPSS 1992 These require a knowledge of the frequency of the sound. The figure below illustrates the technique. Board λ Loudspeaker driven at known frequency Microphone d To oscilloscope input The separation of the loudspeaker and the board is adjusted for a maximum variation in signal as the microphone is moved along the axis. A series of minima are located and a graph is plotted of the distance d against the number of the minimum (to eliminate errors due to the location of the effective centre of the microphone). The wavelength is then determined from the slope of the graph. The velocity is then the product of the wavelength and the frequency. Nuffield Advanced Physics requirements Expt 4.7 uses the oscilloscope to measure the velocity of sound in a metal rod but requires no special oscilloscope features. This course also uses the oscilloscope in measurements of the speed of electromagnetic waves in free air and in a coaxial cable. These experiments use special pulse generators and preamplifiers and are described as Expts 4.4 and 8.10. The oscilloscope may also be used to measure the speed of rotation of the mirror when measuring the velocity of light (Expt 4.3). To display Lissajous’ Figures and characteristic curves The use of Lissajous’ Figures, to set one frequency to an exact multiple of that generated by an electronically-maintained tuning fork, is no longer necessary, since signal generators are available with calibrations quite accurate enough for school use. However, it sometimes remains on school syllabuses. It is convenient if similar amplifiers are available for both X and Y channels and this is often achieved by switching one Y amplifier on to the X channel (X-Y mode). The two channels still have different bandwidths, however, because these are set by the output stages which drive the deflection plates in the cathode-ray tube. For this reason, it is usually best to connect the higher frequency to the Y channel and the lower one to the X channel. The method of calculating the frequency ratio is given in many standard texts (eg, Hickman, 19901). It is also possible to use the X input facility to display characteristic curves for a number of devices or circuits. The top circuit below can be used when a ‘trace invert’ facility is available or the bottom circuit when it is not. In this case, R 1 Hickman, I, Oscilloscopes How to use them, How they work, Heinemann Newnes but available from RS Components, 1990, ISBN 0434908088. © CLEAPSS 1992 1267 Mainly Physics must be chosen so that the voltage across it is small compared with that across the device and this may be difficult. Signal generator 100 Hz (approx) Device Y (inverted) X Trace invert facility Signal generator 100 Hz (approx) Device Y R X No trace invert facility 12.14.2 To teach ‘the Oscilloscope’ and ‘the CRO’ Probably the best way to teach about cathode-ray tubes and their use in an oscilloscope is to use the Unilab Modular Oscilloscope Kit and build up the system block-byblock in front of the class. However, it is also possible to use a general-purpose oscilloscope, one technique being to conceal some controls behind cards in order to concentrate the attention of the class on the section under discussion. 12.14.3 Use with VELA VELA has an analogue output which gives a voltage between -2.5 V and +2.5 V under software control. It is most frequently used to provide an analogue representation of the data held in the memory at the end of the datalogging exercise. VELA does this by reading each stored value in turn, converting this value to an analogue voltage and feeding it to the output terminals for a short interval of time. When all the memory locations have been scanned in this way, VELA goes through them again. An oscilloscope connected to the output sockets can then display the values as a stepped curve and may be able to give a steady trace if the first value happens to be a big one. In case it is not large enough to trigger the time-base, another output, ‘Synch’, is provided. The program in VELA generates a +5 V pulse at this output, just before it starts the analogue output, so that a connection from this socket to the external trigger input on the oscilloscope can be used to trigger the time-base. 12.14.4 Explanation of terms and features Display size This is the size of the visible part of the screen expressed as the diameter if circular or the diagonal length if rectangular. Mainly Physics 1268 © CLEAPSS 1992 Deflection plates X Y Beam Final anode Gun Screen Graticule This is the pattern of lines engraved on the inside surface of the tube face or on a plastic sheet held in close contact with the screen. The area over which reliable measurements can be made may be smaller than the graticule. Some graticules are illuminated by shining light into the edges of the sheet so that the lines glow brightly on a darker background but this is not common on the cheaper instruments used in schools. Trace rotation This control is provided on some instruments to allow the trace to be aligned with the graticule. Phosphor This is the material which glows when struck by the electron beam. Phosphors glow with different colours and the time for which the glow continues is expressed by the ‘persistence’. Phosphors used on school oscilloscopes: Type Filter colour Persistence P7 Orange Long P11 Blue Fairly long P31 Blue/green Fairly short The P7 phosphor is recommended only where most of the usage requires timebase speeds of less than 20 ms cm-1. These applications are now better covered by a datalogger with computer read-out. Double beam or split beam oscilloscopes These use a special cathode-ray tube with two guns or with one gun whose beam is split. Because these are more expensive and less satisfactory than a dual-trace oscilloscope, they are now obsolete. Dual-trace oscilloscope This produces two traces from one beam by electronic switching. The beam can be switched rapidly from one trace to the other and back as the beam crosses the screen. This is called chopped mode and is useful at low sweep speeds. In another mode, the beam can be switched to the two signals on alternate sweeps. This is called alternate mode and is most useful at high sweep speeds. (A multitrace system works in a similar manner to produce more than two traces.) The mode is sometimes selected automatically as the sweep speed is changed; in other cases the user selects whichever mode gives the clearer display. Other modes often included are add, where the two signals are added, and single where one trace only is produced. It is often possible to invert one trace which, with the add function, gives the possibility of subtraction. © CLEAPSS 1992 1269 Mainly Physics The electronic switches used to produce multitrace operation may be internal or external to the oscilloscope. An external switch is often called a ‘beam splitter’. A crude beam splitter can be constructed from modules in the Nuffield A-level electronics kits but its performance should not be compared with that of the sophisticated beam splitters. Input sockets BNC UHF 4mm On school oscilloscopes, these are usually of one of the types shown in the diagram. Adaptors are available from component suppliers to allow interconnection between systems but it is better to use a screened lead with crocodile clips at the remote end than an adaptor on the oscilloscope. BNC connectors are preferred for work at the highest frequencies or with very fast pulses. These are now almost universal. UHF connectors are very satisfactory for most school work because the centre socket accepts a 4 mm plug while allowing a screened lead to be fitted when required. They are not suitable for high frequency work because they are a non-constant impedance design and will not match the standard probes. 4 mm connectors are satisfactory for much school work but trouble may be experienced with small signals, high frequencies and fast pulses. Most 4 mm socket terminals have a transverse hole which is suitable for use with a 2 mm plug. Input impedance This is the load which the input of the oscilloscope presents to the circuit being measured and is usually quoted as a resistance in parallel with a capacitance (eg, 1 MΩ in parallel with 30 pF). The input impedance should have a large resistance value and a small capacitance value compared with those in the circuit being studied. Probe This is often used to connect the input to the circuit being studied. Some probes are passive and provide convenient connectors which reduce waveform distortion (a ×1 probe) while other passive probes provide an increased input impedance but a reduction in the signal voltage presented to the oscilloscope; a ×10 probe provides an output which must be multiplied by 10 to obtain the voltage being monitored (useful at high frequencies or when testing fast pulses). Active probes change the impedance which is presented to the circuit being studied without reducing the signal voltage. They are required in schools only rarely. Coupling The vertical deflection system (Y channel) on most oscilloscopes has an associated switch labelled ‘dc/ac’. When ‘dc’ is selected, there is direct coupling between the input socket and the deflection plates so that a steady voltage produces a steady beam deflection; this is the usual condition of use even when examining alternating signals. If the signal consists of a small variation in a large steady level, ‘ac’ can be selected to allow the small variation to be amplified and displayed without amplifying the steady level; this is ‘ac coupling’. A third position, ‘ground’ (GND), is often provided. This short-circuits the input to the channel (preferably not the circuit under test) to assist in setting zero levels. Bandwidth This is a measure of the frequency response of an oscilloscope and expresses the range of frequencies over which the amplification or gain of the system is reasonably constant. As shown below, the bandwidth is the range of frequencies between the ‘3 dB points’ or between zero frequency and the upper 3 dB point. The 3 dB points of any amplifier are the frequencies at which the gain has fallen to three decibels less than the value at some reference frequency, ie, the power available has fallen to half its maximum value. Mainly Physics 1270 © CLEAPSS 1992 Bandwidth Gain Bandwidth Gain 3 dB dc coupled 3 dB 3 dB ac coupled Ref frequency Frequency Ref frequency Frequency An oscilloscope with a bandwidth from 0 to 5 MHz will clearly be unsuitable for displaying a 10 MHz signal but it can also distort pulses with a fundamental frequency much lower than 5 MHz. A pulse with a transition from one level to another in an infinitely short time (eg, a perfect square wave) requires an infinite bandwidth. In practice, perfect square waves are displayed as below. The rise time, t s is related to the bandwidth B Hz by the approximate expression 0.35 t= B If B = 5 MHz, t = 7 × 10-8 s, ie, 70 ns, which would produce a distinct rounding of a pulse 1 µs long. For the rounding to be insignificant, t must be about 20 ns, ie, B must be 17 MHz, requiring a more expensive instrument. The advent of microprocessors has increased the use of fast pulses and hence the need for a high bandwidth. Square pulse 10 9 Rounded pulse 1 t Sensitivity The sensitivity of an oscilloscope is the ratio of the applied voltage to the vertical or horizontal deflection it produces. It is usually quoted as a number of V/cm or mV/cm. Most instruments have a switch which allows the user to select from a number of different sensitivities but, on some instruments, this quantity may be continuously variable. The sensitivity control may be referred to as the input attenuator (because it operates by attenuating it, ie, reducing it, and feeding it into an amplifier of fixed gain). Shift controls These are provided so that the user can move the traces over the screen in order that features may be more readily compared or aligned with the divisions of the graticule. If the shift controls are set to extreme positions, the traces can be removed entirely from the screen. It is sometimes difficult for the beginner to centralise the traces again and a locate or beam finder facility is then very useful: the operation of a push-button reduces the sensitivity so that the traces reappear on the screen. The shift controls can then be used to centralise the traces before returning to full sensitivity. Trace inversion This is useful when comparing two oscillations one of which has become inverted because of input requirements; see the section above on Lissajous’ figures. © CLEAPSS 1992 Time-base 1271 Mainly Physics In most applications of the oscilloscope, the beam is deflected horizontally at a constant speed. The signal which is applied to the X-deflection system to produce this is called the time-base. There are two different types of time-base circuit, one with a free-running sawtooth generator whose frequency can be set to a particular value and the other in which the velocity of the sweep is controlled. Deflection Sweep Flyback Controlled frequency Time Deflection Sweep Flyback Rest Controlled velocity Time Synchronisation In order to obtain a stable display (a steady picture), the beam must trace out the same path on the screen at regular intervals related to the frequency of the signal being displayed. With a controlled-frequency time-base, this is achieved by synchronisation, a fine adjustment of the time-base frequency to make it equal to (or a multiple of) that of the signal. This makes accurate measurement of time difference more difficult because it results in the time-base becoming uncalibrated; it is now much less common. Triggering With a controlled-velocity time-base, the sweep begins when the circuit receives a triggering pulse, the rest period being as long as necessary. The operator sets the oscilloscope to produce a triggering pulse at a particular signal level and either on its positive slope or negative slope. If the signal never reaches the level set, the screen normally remains blank. This is sometimes inconvenient, and many instruments have a ‘bright line auto’ facility which ensures that a bright line is automatically displayed in the absence of a triggering signal. The signal from which the triggering pulse is generated may be the signal being viewed, if INT (Y1 or Y2) is selected, or it may be a different one. Selection of LINE generates a trigger pulse from the mains, while EXT selects a signal connected to a separate input socket. TV Many oscilloscopes also have a position marked ‘TV’. A television video signal not only contains the information which controls the brightness and colour of the picture, but also contains two sorts of synchronising pulses, one sort for each line and another for each picture frame. When ‘TV’ is selected, this allows the triggering pulse to be generated once for each TV frame and is a facility which is often required in TV servicing. Mainly Physics 1272 © CLEAPSS 1992 Hold-off & delay The more sophisticated models now available include hold-off and delayed sweep controls. These enable complicated signals to be examined in detail. The hold-off control allows the rest period between sweeps to be increased so that more stable triggering of complex pulse waveforms can be achieved. The delay control allows a part of the waveform to be expanded to fill the screen, the delay time being the interval between the trigger pulse and the actual start of the trace. These controls are not really necessary in school oscilloscopes. X-Y In some applications, a time-base is not required: it can be switched off and another signal used to move the beam in the X-direction. The sensitivity in the Xdirection is often less controllable than that in the Y-direction but many instruments now have an X-Y facility in which one of the two Y inputs becomes the X input so that the two channels have identical facilities (although the bandwidth is usually still different). Z-modulation The brightness or intensity of the beam can be set by a panel control to suit the lighting conditions of the workplace. However, the brightness can be modulated (or varied) by an electrical signal fed into the Z-modulation input (often on the back of the instrument). This allows part of a display to be emphasised or concealed or can add marker points at regular intervals. On some instruments this feature is provided via an amplifier so that small signals are sufficient; on others a large amplitude is required to drive the tube directly. 12.14.5 What to buy Ideal specifications These specifications are intended to give the minimum performance required. Extra features and facilities which give rise to further controls and complications in use are not really wanted. However, the number of oscilloscopes sold to schools is small compared with the number sold to industry and school versions are usually simplified standard models. It is rarely possible for a manufacturer to meet these ideal specifications exactly, hence the usefulness of CLEAPSS Guide R31, Oscilloscopes for Schools, which assesses the extent to which the oscilloscopes commercially available meet them. All oscilloscopes must meet the electrical safety standards appropriate for the intended use. Numbers and types of oscilloscopes required It is difficult to give rules for the number and types of oscilloscopes which will be required in schools of different types because it depends on the courses which are being taught and on the teaching methods used. However, one can give some broad advice. The first requirement is for an oscilloscope which meets the demonstration specification. This should meet the basic needs of the teacher whichever courses are being taught. The second priority, where more than six pupils are preparing for A-level physics, is a second oscilloscope for advanced pupil use. This is similar to the demonstration oscilloscope but with the specifications less stringent as indicated in Table 12.9. However, the clarity of the layout of the controls is particularly important as is a ‘trace locate’ facility. It should be a dual-trace instrument as single-trace instruments for use at this level are a false economy. The numbers should be increased at a rate of at least one per six pupils. © CLEAPSS 1992 Table 12.9 1273 Mainly Physics Demonstration and Advanced pupil oscilloscopes Features Demonstration Advanced pupil As with the Demonstration Oscilloscope but: Display Flat-faced tube, at least 100 mm diagonal (130 mm desirable) phosphor and graticule chosen to give a bright, clear trace over the whole timebase range, controls of brilliance and focus, graticule with major divisions every cm. Trace Switch-selected modes: single, dual (chopped), dual (alternate). A A ‘trace locate’ facility is ‘trace locate’ facility is welcome. particularly welcome. Y-amplifiers Inputs BNC sockets with either an adaptor giving 4 mm sockets or a screened lead terminated with 4 mm plugs or crocodile clips. A ×10 probe should be available if not supplied. Input 1 MΩ (parallel capacitance less than 35 pF). impedance Bandwidth DC coupled - dc to 20 MHz. Only to 10 MHz. AC coupled - 10 Hz to 20 MHz. Sensitivity Switched in 1 - 2 - 5 sequence. 5 mV/cm to 10 V/cm ± 3%. Shift control Must allow an offset of 10 V at a sensitivity of 1 V/cm (ie 20 div). Linearity The maximum change in sensitivity across the screen which can be tolerated is 5%. Optional inversion of one trace is useful. Time-base X-Y facility Ideally achieved by switching one Y amplifier on to X deflection, since Can be omitted. this avoids the necessity for extra controls, but can be provided with a fixed sensitivity and reduced bandwidth. Direct coupling is preferred. Speeds Switched in 1 - 2 - 5 sequence from 100 ms/cm to 1 µs/cm. A continuously variable speed control is not required. Switched multiplier (×5 or ×10) is often useful. Triggering modes Y1 , Y2 or external (internal 50 Hz is not essential) on positive- or negative-going slopes with bright-line auto which can be disabled to give a ‘normal’ (pure triggered) mode. Triggering sensitivity Internal - 2 mm screen deflection at 1 kHz. 5 mm screen deflection at 10 kHz. External - not more than 1 V into 100 kΩ. Shift control Other features Must allow the beam to be positioned at any part of the screen and must allow the whole time-base trace to be examined. Tube or trace to rotate to align trace with graticule (on rear or side if convenient). Time-base ramp output is useful, a synchronise pulse less so. Not necessary. Z-modulation input. Not necessary. For work to GCSE-level in physics or electronics, oscilloscopes meeting the pupil specification will be required; details are given in Table 12.10 but, overall, it must be easy to use, be a reasonable introduction to oscilloscopes and have a low cost. There should be enough for at least one per four pupils if they are to be used by a class of pupils working simultaneously. Mainly Physics Table 12.10 1274 © CLEAPSS 1992 Pupil oscilloscope Features Junior pupil Display 70 mm diagonal with graticule (5 mm divisions preferred). Controls of brilliance and focus. Single beam. Y-amplifiers Inputs 4 mm sockets, floating with respect to earth and instrument case. Directly coupled with input impedance of 1 MΩ. Time-base Bandwidth DC to at least 10 kHz, 100 kHz preferred. Sensitivity Gain continuously variable or switched in 1 - 2 - 5 sequence. It must be possible to achieve 100 mV/cm and 10 V/cm with approximate settings marked as mV or V per division. Shift control Must allow an offset of 10 V at gain of 1 V/div (ie, 20 div); more would be an advantage unless ac coupling is also provided. Speeds Off, 100 ms/div, 10, 1, 0.1 ms/div switched (assuming 1 div = 5 mm). Triggering modes Automatically triggered from Y input or external source (with bright line auto). Triggering sensitivity External input: sensitivity better than 500 mV into 1 MΩ. Shift control Must allow the beam to be positioned at any part of the screen. Other features X-amplifier. Input via 4 mm sockets on rear. Directly coupled, input impedance 1 MΩ. Bandwidth: dc to 100 kHz. Gain: 500 mV/div. 12.15 Pulleys and hoists Pulleys are used to illustrate the behaviour of machines. They can be obtained from the main school laboratory suppliers. As well as stocking light plastic or metal pulleys, which can be assembled to make up simple systems, suppliers also stock hoists, which since they are designed for lifting heavy loads, are more realistic; these can also be obtained from car accessory shops such as Halfords. Pulley block in line, CLEAPSS pattern This is stocked by Philip Harris. Its advantages over most educational pulley blocks are that it can be used as a one, two or three pulley block and that the cord is merely passed over the rims of the wheels; it does not have to be threaded. See also section 12.1 (Beams and rings for lifting). 12.16 Ray sets A ray set is used to show the path of light through optical systems ranging in complexity from plane mirrors to telescopes. It does this with narrow beams of light, ie the ‘rays’, which graze a sheet of paper on the bench or a screen and so indicate the path of the light. Ray sets usually need partial black-out. Most use a 12 V lamp, often 24 W although some use 36 W. They can be powered by general low-voltage units, the maximum number of lamps supplied by one of these depending on its rating, usually 4 to 8 A. A unit supplying up to its rated value will often get quite hot but, as it is protected by a cut-out, this should not cause concern. © CLEAPSS 1992 1275 Mainly Physics Ray sets should be able to give one ray for some work: eg, for investigating simple reflection with a plane mirror or refraction by a rectangular glass or plastic block. They must also give three or more rays for investigating converging and diverging mirrors and lenses. It is important that the set can, by adjustment, make these rays divergent or parallel. It is sometimes necessary to adjust the height of the lamp so that rays skim along paper placed on the bench. Ray box or separate components? The Nuffield Physics course advocated a ray set with separate components because it was more flexible than a ray box. However, such a set is too complicated for some pupils; it is necessary to adjust a lamp, a screen with slits, a shade to cut down stray light etc to produce clear rays before considering the components to be investigated. Most ray sets available now are much easier to set up, use and clear away but are still sufficiently versatile. Bulbs The 12 V 24 or 36 W bulb used usually has to have a straight filament which is arranged to be parallel to the slit; this usually means that the filament is parallel to the axis of the bulb, unlike ripple tank bulbs whose filaments are perpendicular. Such bulbs are quite expensive and it can be worth buying them from an electrical wholesaler. Care must be taken to purchase the right type of bulb. m Lamp housings can become very hot. Accessories It is assumed that a basic ray set has a lamp, screens with one slit and three slits, adequate shielding and perhaps a lens to give parallel rays. To cover the full range of investigations, the following will be needed: mirrors: plane and cylindrical (parabolic also useful); glass or plastic blocks: rectangular and semicircular; glass or plastic prisms: equilateral and 90-45-45°; lenses, cylindrical: biconvex, both long and short focal length (eg, 7D and 17D) and biconcave (-17D); a screen with many slits (a ‘comb’) is also useful; holders for all these items. Colour mixing 12.17 Some ray boxes have a facility for demonstrating the mixing of lights of different colours. This consists of filter holders to take filters for primary or secondary colours and so produce three wide beams of different colours which can be made with plane mirrors to overlap on a small vertical screen. If this facility does not detract from the main purpose of the ray box nor add substantially to the cost, it is worth having. Colour mixing can also be investigated using three separate ray sets, each with a different filter. Ripple tanks Ripple tanks are used to teach aspects of wave motion. Most teachers will use them for pupils to explore basic concepts of waves but with careful technique they can be used to investigate a very wide range of wave phenomena. Their use in schools was stimulated by the Nuffield Physics Project and many of the ideas here come from Nuffield publications1. It is possible to purchase video cassettes of ripple tank investigations and also computer simulations of wave motion for some computers. The Nuffield Project advocated ripple tanks with water areas 40 - 45 cm square, intended to be used for pupil investigations with one per group of four pupils. Similar sized ones are still available but there are also smaller ones, some of which produce 1 Revised Nuffield Physics Teachers’ Guide Year 3 Longman, 1977, ISBN 0582046831, p8. Mainly Physics 1276 © CLEAPSS 1992 reflected images and others which can be used for demonstration on overhead projectors as well as on their own. Nuffield-pattern ripple tanks have a clear 12 V bulb fixed about 50 cm above the water surface which produces an ‘image’ on the floor below the tank on a sheet of paper or white-painted hardboard; the image should be viewed directly, not through the water. 12.17.1 Features, accessories and their use Legs and levelling The legs need to support the tank firmly at about 50 cm above the floor but must be detachable for ease of storage. There should be a means of levelling the tank, important for some investigations; one method is to insert window wedges under the legs until the reflected images of the lamp made by the glass and water surfaces coincide. Beaches By these are meant gentle slopes of the bottom of the tank round the edge, to reduce reflections. The same effect can be achieved with humps of gauze of metal or plastic. Barriers and the refraction plate Barriers are metal strips to reflect waves or to produce gaps through which waves can be diffracted. There are usually three straight barriers supplied: with a Nuffield-pattern tank, two will be about 15 cm long, one about 2.5 cm, and there will be a circular barrier, with a chord length of about 22 cm. The height of the barriers is about 2.5 cm and they have vertical flanges at their ends to keep them upright. Supplied to demonstrate refraction is a glass plate, about 30 × 20 cm and 4 mm thick (plastic plates tend to be too light and inclined to move). Its purpose is to reduce the depth of the water in an area of the tank; it should be placed on three small brass washers or something similar to keep it from sticking to the bottom. Rod and waterdropper A wooden rod about 15 mm in diameter can be rolled to and fro in the water to produce straight ripples. Drops from a dropping pipette will produce circular ripples. Vibrator bar This is a bar whose length is slightly less than the width of the tank; on it is mounted a small electric motor with an off-axis load on its spindle. The bar is suspended by two rubber bands from a gantry or other supports mounted on the tank; it is sometimes worth experimenting with different rubber bands. To produce continuous plane waves, the bar is adjusted just to touch the water but one or more dippers can be fitted to produce continuous circular waves. The motor is usually powered by 1.5 to 4.5 V dc; the voltage applied needs to be adjustable to produce various frequencies of vibration and hence wavelengths. A special unit can be purchased for supplying both the motor and the lamp but general-purpose low-voltage supplies are often adequate for the motor if used with a rheostat. If a special unit is used, care must be taken not to connect the motor to the lamp supply. If the off-axis load supplied with the motor is lost, one can be improvised by cutting down the pin of a 13 A plug or a connector from a connector block. Replacement motors from the original supplier tend to be expensive; they are cheaper from firms who supply small electrical and electronic components for school science and technology. Lamp The lamp must have a small light source and so, usually, a clear 12 V 24 W bulb is used. It usually has a straight filament, arranged parallel to the vibrator bar so that it is parallel to plane waves. Usually the filament is perpendicular to the axis of the bulb; such bulbs should not be confused with those suitable for ray sets. It should be mounted about 50 cm above the tank and have a shade to reduce general illumination in the room. If fringes are very faint, eg, after refraction, their visibility can be improved with some patterns of lamp by rotating it. © CLEAPSS 1992 Table 12.11 Effect Pulse of circular ripples 1277 Mainly Physics Effects which can be demonstrated with a ripple tank Equipment Diagram Water droppers (bulb pipettes) or pencils Note A drop of water or touching the water with a pencil or finger generates a pulse of two or three circular waves. Does water move along with the pulse? X It is important to show that, if two pulses are generated simultaneously, they will pass through each other unaffected. It is probably best to show this later. Pulse of straight ripples Wooden rod The rod is rolled forwards and backwards. Alternatively, a 12 inch ruler can be dipped into the water or put in and then oscillated forwards and backwards. Reflection at barriers Water dropper etc for circular pulses The reflection of both circular and straight pulses can be investigated. With circular pulses, pupils can be asked to mark with a small object where the reflected pulse appears to come from. The position can be adjusted to look right and the distances compared. The angle that straight ripples make at the barrier should be varied (avoid 45°). Wooden rod for straight pulses Barriers to act as reflectors Continuous waves Vibrator bar and adjustable dc source Hand stroboscope X Better focusing of plane waves can be obtained if a parabolic reflector is made by putting copper wire in rubber pressure tubing and bending it into a parabola, using a template. The height of the bar must be adjusted so that it just touches the water. The frequency of the motor should be varied by changing the voltage applied and it will be observed that the higher the frequency of vibration, the shorter the distance between the waves, ie the wavelength. If the waves are ‘frozen’ with a hand stroboscope, frequency and wavelength can be measured and fλ = constant shown. Interference Vibrator bar fitted with two dippers In the diagram, lines connecting maxima or minima are shown, not wavefronts. The pattern observed can be changed by varying the frequency of vibration of the bar and by varying the distance apart of the dippers on the bar. Changes in pattern are easiest to see if the frequency is not too high. With several vibrators, it is possible to show the effect of a diffraction grating. Diffraction Vibrator bar Hand stroboscope The pattern can be changed by varying the frequency of vibrations and the width of the gap. Again, vibrator speeds should be kept low to start with. At higher speeds, the stroboscope may aid visibility. Other arrangements can be tried: double slits, giving Young’s fringes, and an obstacle, eg, the short barrier, instead of a gap. Refraction Vibrator bar Glass plate resting under water on three washers Hand stroboscope If the plate is placed directly on the bottom of the tank, it is inclined to stick there. The tank must be level and the plate just covered with water. Refracted waves should be visible at the front of the plate but the shallow water, necessary to produce the change in velocity, will damp them rapidly. Adjustments may be necessary to make the waves visible. The height of the vibrator and the direction of the filament of the bulb are both critical. The frequency should be kept low. Mainly Physics Stroboscope 1278 © CLEAPSS 1992 A simple hand stroboscope is required to ‘freeze’ waves. It consists of a hardboard disk, slotted round the edge and pivoted at its centre on a handle. Normally, it is rotated by being held in the left hand and turned with the first finger of the right hand in a hole. The waves are viewed through the edge of the disk. Some patterns of ripple tanks, eg, those which work on overhead projectors, have motor-driven disk strobes as accessories. These are mounted just below the lens of the OHP. 12.17.2 Use of ripple tanks The Nuffield project advocated allowing pupils to investigate for some periods with little direction but not all teachers will agree with this policy or find that they have time for it. Considerable technique is needed to observe some phenomena clearly. Whatever the general view on direction of pupils for this work, it is sensible if setting up and taking down ripple tanks is done quickly and efficiently following a drill. Some spills must be expected and sponges, buckets etc provided. Setting up Teachers may wish to inspect that legs are secure before water is added. It is convenient to have containers, eg, cut-down squash bottles with a mark at the level it should be filled to; around a litre will give the required depth in the tank, about 5 mm. The tanks and the water must be clean. A little detergent (eg, washing-up liquid) added to the water will help reduce stray reflections and improve what is seen. Taking down Thought must be given to emptying. If sinks are too small to allow easy pouring, it may be necessary to use one or two containers such as plant troughs. These can be emptied subsequently or have holes made in them to empty directly into sinks. A reminder of some of the effects which can be illustrated with brief notes on the equipment needed etc is given in Table 12.11. Work without the Much useful work can be done without the vibrator bar, with a group of a few ripples being generated manually. vibrator bar Stray ripples In some demonstrations, what is seen can be improved by using extra barriers to prevent ripples passing round the edges of the main obstacles. Refraction It is difficult to make this demonstration clear as the depth of water is very critical. While water (gravity) waves do get slower as the depth is reduced, surface tension becomes the main factor at small depths and the speed increases. 12.18 Stretched wires etc Metal wires, springs and nylon filaments are stretched in several investigations: in sound, the sonometer; in properties of materials, Young’s modulus measurements and tensile testing; properties of springs. wires of certain metals (eg, steel and Eureka but not copper), filaments of m Stretched certain plastics (eg, nylon) and springs can cause cuts if they break or become detached while under tension. The eyes in particular are at risk. See section 3.2 (Eye protection). Normal laboratory eye protection is advised. Faces should be kept well away from stretched wires etc but, if this is impossible or if the wire etc is intended or expected to break, a safety screen should be used. Suspended masses above 2 kg should be arranged to be as near the floor as possible and over a cardboard box containing padding etc. © CLEAPSS 2005 12.19 1279 Mainly Physics Stroboscopes Three types of stroboscope are used in school and college laboratories. A hand stroboscope consists of a hardboard or plastic disk, slotted round the edge and pivoted at its centre on a handle. Normally, it is rotated by being held in the left hand and turned with the first finger of the right hand in a hole. The waves are viewed through the edge of the disk. A motor driven stroboscope has a similar disk mounted on a motor whose speed of rotation can be adjusted. A xenon stroboscope emits flashes of light from a small xenon tube; it is mains powered and its frequency can be controlled by a switch and a graduated knob. All three stroboscopes are used for ‘freezing’ periodic motion, eg, of a vibrating string, or fixing the position of a continuously-moving object at intervals: the first two are used in conjunction with a ripple tank (see 12.17, Ripple tanks ) and all can be used for dynamics as in section 12.4.2 (Timing methods). flashers operating at frequencies around 7 Hz to 15 Hz have been known to m Xenon cause epileptic fits. This range of frequencies should be avoided and special care should be taken if any pupil is known to be an epileptic. 12.20 Vacuum [Information previously in this section is now in section 10.6, Pumps.] 12.21 Wave machines Wave machines are used to demonstrate the motion of transverse and longitudinal waves, both progressive (travelling) waves and standing waves. Wave motion is not easy to visualise and so such machines are useful. However, these motions can be represented by simpler means, for example, by a Mexican wave along a row of pupils; also by computer simulations. These should be considered before a bulky and expensive wave machine is purchased. See Table 12.14. Wave machines are in two categories, those which are made up of coupled oscillators and those in which the motion of a spiral is projected mechanically or optically on to a plane. The former usually has the advantage that alterations can be made to the system to change the velocity of the progressive wave; reflection can also be shown and hence the formation of a standing wave by the addition of two progressive waves. For details of the demonstrations listed in Table 12.14, see Nuffield Advanced Physics, Teachers’ Guide Waves and Oscillations1. The investigations using trolleys are for sixth form work. 1 Revised Nuffield Advanced Science, Physics, Teachers’ Guide 1, Longman, 1985, ISBN 058235417X, Unit D. Mainly Physics Table 12.14 1280 © CLEAPSS 2005 Ways of demonstrating wave motion Apparatus Types of wave Note Arrangement Long spring Trans The spring is laid on a smooth floor. The end can 3 m long, 2 cm in be free or clamped to a diameter. bench leg when the phase Shows transverse waves of the reflected pulse will be better than a slinky. different. Slinky The longer model is better; it is about 11 cm long when compressed. Trans As for the long spring but not so clear. Long To show longitudinal pulses, the slinky should be stretched on a smooth surface and then a couple of turns should be pulled back and released. Or it can be kept suspended from a strip of wood by threads. Transverse wave kit Trans The cords are stretched tight and waves generated 60 - 100 wooden rods by moving a rod up and about 30 cm long, 8 mm down. in diameter, threaded on two cords between two handles. There are spacers between the rods. Top view To To handle handle Side view Dynamics trolleys Trans This is best done on the floor. At least 8 are needed. Also, for each trolley: For transverse, the springs transverse waves, Long are attached with pegs or large nails. The trolleys are 2 springs (6 mm pulled apart until the springs diameter, 15 cm are in tension and then long) . individual ones adjusted. longitudinal waves, For longitudinal waves, the 2 or 3 open springs trolleys must be fitted with (15 mm diameter, holders to take the ends of 5 cm long) and the springs. holders. The trolleys can be loaded to alter the frequency. Trans = transverse Long = longitudinal © CLEAPSS 2005 12.22 1281 Mainly Physics Magnets [The information in this section was previously in section 10.1. It has not been revised, other than to change section numbers. Pending a complete revision of Chapter 12, it is being temporarily held in this new section.] 12.22.1 Precautions Magnets can harm some wrist-watches, magnetic tapes for recorders and computer discs. We have heard of children trying to obtain magnets from the focusing system around old TV tubes. These tubes implode when broken and so there is a potential danger from flying glass. The practice should be discouraged unless carried out under supervision. 12.22.2 Magnets in science Secondary schools will require magnets to consolidate the study of their properties begun in primary schools and to consider their application in electromagnetic devices. Types of magnet We recommend that, for their main work on the properties of magnets, schools use alloy (Alnico etc) magnets. These represent the best compromise between the different properties. Some weaker, easily de-magnetised and re-magnetised, steel bar magnets may also be required. Bar magnets have the most useful shape but it is worth having at least one ‘horseshoe’ magnet. It is interesting to have a collection of some of the many different types of magnet now available. A ring magnet floats above another if threaded on a suitable rod or tube. It is also worth having specimens of tape or sheet magnetic ‘rubber’. The arrangement of the poles on various types is as shown on the next page. The most suitable arrangement for producing strong fields for electromagnetic work is a pair of ferrite (eg Magnadur) strips fitted to a mild steel U-section yoke. This idea originated in the Westminster Electromagnetic Kit. Field lines demonstration Iron filings can be stuck to a card using some hair lacquer or clear lacquer from electronics suppliers such as RS Components. Coarse iron filings give a clearer picture than fine ones. The filings can be sprinkled from a pepper pot with large holes or a 35 mm film container with holes made in its lid with a hot nail held in pliers. Filings which cannot be pulled off a magnet can be removed with a piece of plasticine or Blu-tack. Iron filings are messy and teachers may prefer to keep them in a sealed transparent ‘box’. The box is tapped until filings are spread evenly over the bottom, a magnet brought up underneath and the box tapped again. Two plastic Petri dishes taped together are ideal. Experiment with different quantities of iron filings. N S Mainly Physics 1282 © CLEAPSS 2005 The arrangements of poles in various magnets a. Steel or alloy types Horseshoe magnet U-type with keeper Cylindrical bar Button type b. Ferrite types Ferrite bar Plastic strip Ferrite ring Plastic sheet (poles are on one side of the sheet) Plastic ‘string’ N S N S S N 12.22.3 Care Magnets can easily become demagnetised or be broken if not handled with care. The strength of a magnet does not just leak away. However, ‘permanent’ magnets do lose their magnetisation when they are knocked or when other magnets are brought near them, particularly if in such a way as to produce repulsion. A strong magnet can re-magnetise a weak magnet the other way round if brought up close. © CLEAPSS 2005 1283 Mainly Physics Horseshoe magnets can be stored in pairs but should be separated as shown. Bar magnets can be stored in pairs as shown below but this is not as satisfactory as with keepers. If magnets are not kept with keepers or in pairs they should be stored well apart. A partitioned tray helps to achieve this and aids the check to see that magnets are returned at the end of the lesson. N S S N Ferrite magnets, which are very brittle, can be protected by binding with Sellotape. Bits of ferrite magnet can be used to stick pictures on to steel cupboards but soon ‘disappear’. Magnet storage tray Stored with keepers in place Wooden separator Stored with unlike poles adjacent (less satisfactory) Mainly Physics 1284 © CLEAPSS 2005 Pupil’s explorations of magnets are bound to weaken them and teachers must expect to have to have them re-magnetised or to replace them. However, after a first exploration it is worth encouraging them to be gentle with them. For re-magnetisation of bar magnets, it is necessary to use a solenoid through which a large electric current is passed (it need pass only for an instant, however). ‘Stroking’ produces only weak magnets. Horseshoe magnets present more of a problem. These must be placed across the poles of an electromagnet and as large a current as the electromagnet will stand passed. Magnets of steel or alloy are usually sold with steel ‘keepers’. If stored with keepers across their poles, magnets withstand knocks and other magnets being brought close very much better. Keepers should be placed gently onto the magnets and pulled off straight, not slid. 12.22.4 Re-magnetising Solenoids A solenoid is a long coil which can be used to re-magnetise magnets which have become weak. They can be bought or made. Bought A bought solenoid is quite expensive, particularly if it has its own built-in power supply. However, a teachers’ centre could usefully buy one to re-magnetise the magnets of the schools it serves and so we give some information about them. D-i-y It is possible to make a solenoid and, with some workshop skill, it can be a good one: the tube in the middle could be a piece of plastic conduit and the ‘cheeks’ at either end to stop the turns coming off made from plywood or hardboard. A simple solenoid made by winding about three layers of 5 A single insulated cable on a cardboard tube can be quite effective. Section through a cardboard tube solenoid Wire Magnet Cardboard tube Tape It can be difficult to arrange for a large enough current through the solenoid to magnetise alloys such as Alnico. One method we have used successfully is to employ a healthy car battery. Put a magnet inside the solenoid, held one end of the cable against one terminal very firmly and touched the other end on the other terminal firmly, for a few seconds. The magnet jumps inside the coil, a satisfactory sign that the solenoid was doing its job. It is not sensible to re-magnetise too many magnets at once in this way as it might flatten the battery and overheat the coil. It is worth having two people, one to hold one end of the wire firmly on one battery terminal, the other to tough the other end on the other terminal. A car battery gives only 12 V and will not give any shock on its own, but, surprisingly, disconnecting a solenoid with a magnet in it can give a small shock. This is not dangerous but might startle you. Having two people prevents this. © CLEAPSS 2005 1285 Mainly Physics It is not worth trying to predict which end of the magnet will become the N pole, which the S pole. If it bothers you, get it right by trial and error. De-magnetising A solenoid may be used for de-magnetising if an ac current is passed through it and the magnet taken out with the current flowing. 12.22.5 Background information Lodestone This is a lump of a rock called Magnetite, which can be magnetised. It is an iron ore, Fe3O4. Lumps of Magnetite if suspended or floated will set north and south, acting as compasses. In fact, lode (= way or journey) stones were the first compasses. Substances attracted by magnets All the everyday substances attracted by magnets are metals but most metals are not attracted by magnets. Metals are frequently given surface treatments such as plating which can make them difficult to identify. Common metals attracted IRON (Usually met in everyday objects in the form of steel, iron alloyed with small quantities of other substances. Examples: nails; needles; pins (usually plated); steel cans (plated with tin); blades of scissors and knives; razor blades.) NICKEL (Found in laboratories in crucibles and spatulas.) COBALT (Met only as an ingredient of alloys.) Common metals not attracted COPPER (Small diameter pipes; 1, 2p coins which are alloy but mostly copper.) CUPRO-NICKEL (5, 10, 50p coins. Non-magnetic in spite of the nickel as they are 75% copper.) BRASS (An alloy of copper mainly with zinc. Some knobs; screws; keys.) ZINC and ALLOYS (Small toys such as model cars.) LEAD (Old pipes; fishing weights.) ALUMINIUM (Saucepans; cooking foil; milk bottle tops.) GOLD, SILVER STAINLESS STEEL (Some varieties are magnetic.) Common magnetic materials Name Composition Magnetic strength Ability to keep magnetisation Resistance to breakage Steels 6% chromium 15% cobalt Alloys iron with 6% chromium iron with 15% cobalt 9 99 9 99 999 999 Alni, Alnico, Alcomax, Ticonal, Fecal Ferrites iron with substantial quantities of aluminium, cobalt, copper, nickel, titanium etc 999 99 99 Magnadur, Feroba chemical compounds of barium or strontium with iron and oxygen 99 999 9 Mainly Physics 1286 © CLEAPSS 2005 Fecal is less magnetically strong than the other alloys but cheaper. Ferrites are not metals and are bonded to form materials like china which are similarly brittle. Ferrite magnets are sometimes called ceramic magnets. Ferrites can also be bonded with plastic to form flexible ‘rubber’ sheet, tape and string which can be cut with scissors. In this form, ferrites do not form such strong magnets. ‘Iron and steel’ As an older text-book would have it: ‘Steel (a harder form of iron) is used for permanent magnets in preference to soft iron since, although more difficult to magnetise, it retains its magnetism very much more tenaciously under rough treatment’. The truth is not so simple. The point, of course, is that there are many steels, including some specially developed for magnets. The aim in developing a suitable material for a permanent magnet is to make magnets which are: a) as magnetically strong as possible; b) as permanent as possible, ie able to keep their magnetisation, despite being knocked and having other magnets brought near. Unfortunately, achieving these qualities usually results in a magnet which is rather brittle, liable to break when dropped. Just as any old steel is not suitable for making magnets, so any old soft iron is not suitable for transformer cores and other situations where ready magnetisation and demagnetisation is needed. Again, special materials have been developed.