Investigation Pack Year 13 Advancing Physics Contents: Timeline Choosing a topic Preliminary work Doing your investigation Writing it up Investigation checklist Dealing with uncertainties and errors The mark scheme List of titles Timeline Fill in the dates that your teacher gives you: Date Submission of provisional titles Submission of apparatus list Practical work Submission of draft report Submission of final report Choosing a topic A good topic is… Something that you are interested in Something that makes you think 'why does that do that?' Something that is not a standard practical Something that you do not know the answer before you start Something that means that you will have to make something Something that has scope for development Something that mans you can make quality observations or take measurements or both Something that includes physics! A good investigation will incorporate a large number of the above points, but not necessarily all of them. Start by looking around you and thinking about interesting things that you see. These tend to lend themselves to mechanical properties type investigations (hair, spaghetti…), music (physics of the flute, boxes under guitar strings) and such like. Alternatively it could be something that you have read about, a toy you want to investigate, something you want to make. The MOST important characteristic of this title is that it is OPEN. It must go somewhere, have room for development or related work. A list of titles is attached but you should be careful – just because it is on the list does not guarantee that you will get on well with the idea. It will be tempting to find a teacher and say ‘I am thinking of doing X, what did ‘they’ do for that?’ but that is not the point. Of course your teacher could tell you a method but that will not make a good investigation and we aren’t going to tell you so don’t ask. You need to discuss you titles with your teacher AT THE EARLIEST OPPORTUNITY. Preliminary work You MUST try it out as soon as you can. TRUST US on this point. It is not just enough to assume that you will be able to get some results. There is ABSOLUTELY NO SUBSTITUTE for getting the equipment out and trying it out. You can do that at any time – just ask. This work will seal the fate of your choice… you will either decide to go ahead or choose something different. If you have decided to go ahead then you need to do 3 things Collect an exercise book to use as your lab notebook, or continue with the one that you used for your sensor project Plan what you will do in detail Order equipment Do a risk assessment We will need to see that the above is complete before you can start. You need to get your equipment order in well before you plan to start. Bear in mind that we have a limited number of some items like oscilloscopes and signal generators. Talk to a teacher about what you need. Doing your investigation This is the fun part! You need to make full use of all your lesson time. You may do work outside of lessons, including lunchtime and after school after clearing it with a teacher. You must NOT work in the lab on your own without the knowledge of a member of staff. Things to do EVERY DAY Write the date and record everything that you DID and THOUGHT in your lab notebook. Don’t forget to consider/write down uncertainties in all the measurements that you make. Draw graphs of any data that you collected. Make a note of questions to ask your teacher about. Things to do AT TH END OF THE FIRST WEEK Write a brief summary in your lab notebook of what you have found out Discuss how far you have got with your teacher Make a new plan for the final week Things to do AT THE END OF THE SECOND WEEK Dismantle all your equipment and return it in a neat fashion to the prep room Discuss with your teacher what to do with any apparatus that you have constructed Make sure that your work area is clean Make sure that you have all the information that you need to write up the draft. This includes the PHYSICS of what happened. See your teacher if you are not sure. Writing it up Remember the lessons you learned writing up your Research and Report. If you have been writing up what you have been doing EVERY DAY in your notebook then writing this up will be a breeze. The reverse is doubly true. The structure of your reports is up to you but may be as follows An aim A summary A brief outline of the physics involved in explaining what is going on A risk assessment. An account of what you did, including all the preliminary work, blind alleys and wrong turns – do NOT sanitise your work. A diary format works well but it is up to you. A section that says how you dealt with uncertainties An analysis of the results that will have graphs and their interpretation A conclusion which reflects on the outcomes of the investigation in a critical way. An appendix that has all your results tables A bibliography if applicable Alternatively print out the following checklist from the website and use that. Investigation Checklist Write a clear aim that states the question, problem or situation that you are investigating. Write a summary of 200 words or less that gives an overview of what you did. Write down what you did, including all the blind alleys, things that didn't work etc. A diary format is a very good way of writing up, as long as you kept a record of what you did each day. Include a risk assessment - make it clear how you gave due regard to safety Explain clearly the physics of what you were trying to do Think about the precision of your results. How many decimal places should you use? Include details of any observations that you made - photos are great also. Careful observations/diagrams are as good as numerical data Tables of data should go in an appendix at the back of your report and must NOT be included in the text. Graphs of the data should be integrated into the account, as should calculations based on your data ALL numbers should be quoted with an uncertainty as shown in your practice investigation pack available on the web or through me. If you do calculations you should carry the uncertainties through to give an uncertainty in the quantity that you have calculated - see me if you don't know how to do this. Explain how you dealt with uncertainties and the steps that you took improve the precision THINK about the graphs that you plot, make sure that they are correctly labelled and always comment on them. All points on all graphs must have error bars on them Identify and explain any discrepancies between results Explain, using physics, what you have found out. How certain can you be of what you think? Think critically about what you have done and comment on the limitations. Saying 'I didn't have enough time' will not suffice. Dealing with uncertainties and errors You, the experimenter, will go and measure some physical quantities numerically (using some piece of equipment to do so). You make a measurement. The measurement is necessarily somewhat different than the true value of the physical quantity. First, we need to define some terms: Accuracy: This is the extent to which your measurement is in fact close to the true value. If you do not a priori know the true value, then it may be difficult to determine to what extent your measurement is accurate. Precision: This is the extent to which you can specify the exactness of a measurement. For example, to report that the time is about 3 PM is less precise than to say the time is 3:02:45. Being more precise does not always imply being more accurate. Statistical (Random) Uncertainty: This is a key idea. The statistical uncertainty of a measurement is the uncertainty that reflects the fact that every time you make a measurement, you must, be necessity, measure a slightly different quantity each time. The tendency for a measured value to "jump around" from measurement to measurement is the statistical error. Systematic Uncertainty: This is uncertainty and error in your measurement caused by anything that is not statistical uncertainty. This includes instrumental effects, not-taking things into account (will the change in barometric air pressure impact this measurement?) and gross (stupid) errors. Any measured quantity or calculated constant requires 3 items in order to specify it completely: (1) a numerical value (2) a unit (3) an indication of the reliability of the ascribed value. Item (3) means the uncertainty or systematic error. Note that the two words, 'uncertainty' and 'error' are often interchangeable. Strictly 'uncertainty' is best used to represent a range which contains the true value, perhaps with a statistical confidence, whereas 'error' is best used to cover measurement deficiencies such as systematic differences (errors). An example of a fully specified statement might be: acceleration = 13.4 ± 0.2 km s-1 1. Absolute, Relative and Percentage Uncertainties/Errors Statement: time for object to fall = 14.32 ± 0.04 s The 0.04 is referred to as the absolute (time) uncertainty in the measurement. The relative uncertainty is simply calculated as 0.04 / 14.32 = 0.0028 The percentage uncertainty = relative uncertainty x 100% = 0.28% So we can re-express the statement as: time to fall = 14.32 s ± 0.3% 1.a. Quoting Uncertainties (a) The uncertainty must be quoted to the same number of decimal digits as the value. e.g. 14.32 ± 0.04 and not 14.32 ± 0.041 (b) Knowing the uncertainty in a quantity immediately reveals the number of significant digits its value should contain e.g. 9.77 ± 0.01 m but not 9.7742 ± 0.01 m since the uncertainty of ± 0.01m clearly indicates that the third significant figure is uncertain and thus there is no point in writing down the 4th, 5th, etc. 2. Types of Uncertainties and Errors Uncertainties are mainly of two types, systematic and random. There does exist a third type, blunders, but they must be discarded when correctly recognised. 2.a. Systematic errors Often these are the most difficult to deal with since you may not even be aware of their existence. They cause a series of measurements to be always too high or too low rather than randomly scattered about the true value; e.g. a shrunken ruler will always give length measurements which are too high. Systematic errors must be carefully watched for and if possible eliminated or turned into random uncertainties; e.g. in measuring a temperature difference, exchange the two thermometers and take a second reading thereby eliminating zero errors. 2.b. Random Uncertainties These may result either from the random varieties (often referred to as fluctuations) in the measured quantity itself (e.g. the emission of alpha, beta or gamma rays from a radioactive source or from the variations in measuring instruments and/or the experimenter. This simply means that repeated measurements are unlikely to give precisely the same value each time. Rather a spread of values will be obtained and it is from this spread or scatter that the uncertainty in the measured quantity is best determined. You can turn this argument around and state that the best way of accurately determining the uncertainty in any measured quantity is by repeating the measurement many times. The next two sections, however, will consider situations in which a detailed treatment of measurement scatter is not relevant. 2.c. Non-random Measurements If you make a series of measurements and they all have the same value (see previous section) this indicates that the instrument used for the measurement was possibly not sufficiently sensitive for the use intended and you might then consider whether your choice is appropriate. This does not mean, however, that there is no uncertainty in the measurements. Example: Using a vernier the following measurements were made of the diameter at different points along a brass rod; 1.42 cm, 1.42 cm, 1.42 cm, 1.42 cm, 1.42 cm. Clearly any variations in diameter are too small for the vernier to detect. This does not mean that there is no uncertainty in the result, but rather that it is not greater than half the smallest division that the vernier can measure, viz. 1/2 x 0.01 cm = 0.005 cm. If the length had been greater than 1.42 cm the venier would have read it as 1.43 cm; if it had been less than 1.415 the reading would have been 1.41 cm. The result of this measurement is, therefore, written as 1.42 ± 0.005 cm 2.d. Limited Sampling On many occasions you will not be in a position to repeat a measurement many times. For example, recording the temperature of a cooling body; you measure single temperatures at specified times. Here you must use your own judgement in determining how accurately the temperatures were measured. Under ideal conditions the uncertainty is likely to be ± 1/2 of the smallest divisions of the instrument used. Note, however, this is likely to be the minimum uncertainty and that systematic or instrument errors, may be somewhat higher. It is good practice to examine the manufacturers specifications for the instruments you use. Time restrictions limit you to only a few, say 3 or 4 repeated measurements Example: Four length measurements of a rod were recorded as : 0.041, 0.044, 0.044 and 0.045 m. There are two alternative approaches in calculating the uncertainty. (a) Take the uncertainty as half the difference between the highest and lowest readings = ± (0.045 - 0.042)/2 = ± 0.002 m. (b) Calculate the average deviation for the four readings For the above example this is ± 0.001 m which is half the value calculated in (a). The disadvantage of this method is that calculating the spread in small samples using average deviations (or standard deviations) is extremely dubious. 3. Manipulation of Independent Uncertainties You will often have to calculate a quantity that depends on a number of measurements you have made, each having some uncertainty. You need, therefore, to understand how the individual uncertainties combine. The section below describes a very simple way of doing it but which will overestimate uncertainties. 3.1 The Less Precise Way Addition and subtraction Let L = x+y-z with dx, dy and dz the absolute uncertainties in x, y and z respectively. dL = dx + dy + dz Note that the change in sign of dz is justified by the following arguments: Maximum value of L will be given by (L+dL) = (x+dx) + (y+dy) - (z-dz) = (x+y-z) + (dx+dy+dz) and the minumum value of L by (L-dL) = (x-dx) + (y-dy) - (z+dz) + (x+y-z) - (dx+dy+dz) i.e. dL = dx + dy + dz Absolute uncertainty in sum = algebraic sum of absolute uncertainties in the individual terms. Example : Suppose a = (2.1 ± 0.1)m, b=(3.4 ± 0.4)m and c = (0.82 ± 0.01)m If S = a + b - c What is dS? dS = da + db + dc = 0.1 + 0.4 + 0.01 = 0.51 = 0.5 thus S = 4.7 ± 0.5m Products and quotients Let L = x(y/z) Log L = log x + log y - log z dL/L = dx/x + dy/y + dz/z Relative (or percentage uncertainty) of a product and/or quotient = sum of the relative (or percentage uncertainties) in the individual terms. Examples: Suppose a = (2.1 ± 0.1)m, b=(3.4 ± 0.4)m and c = (0.82 ± 0.01)m If S = a x b/c What is dS? dS/S = da/a + db/b + dc/c = 0.1/2.1 + 0.4 /3.4+ 0.01/0.82 = 0.18 = 18% thus S = 9.0 ± 18% or 9.0 ±1.5m Powers Let L = xa yb Log L = a log x + b log y dL/L = a dx/x + b dy/y Relative (or percentage) uncertainty = sum of the relative (or percentage) uncertainties in each term multiplied by the corresponding power index. NB If a parameter is raised to a high power then its contribution to the total error is increased by a factor equal to the value of the power. It is important that the parameter is measured with increased accuracy in order to keep the total error relatively low. Examples: Suppose a = (2.1 ± 0.1)m, b=(3.4 ± 0.4)m and c = (0.82 ± 0.01)m Suppose S = x2y3 where x = 4.0 ± 0.2, y = 2.2 ± 0.3 What is the value of dS? dS/S = 2(dx/x) + 3(dy/y) = 2(0.2/4.0) + 3(0.3/2.2) = 0.1 + 0.4 = 50% thus S = 170 ± 50% NB The above technique for the manipulation of uncertainties leads to values which are generally too large. 3.2 The Precise Way By simply adding the absolute uncertainties it is assumed that the uncertainties in dx, dy and dz add in the worst possible way. If dx, dy and dz are independent uncertainties then this will rarely happen. A more suitable way of calculating the uncertainties is as follows: (dL)2= (dx)2 + (dy)2 + (dz)2 for products and quotients: (dL/L)2 = (dx/x)2 + (dy/y)2 + (dz/z)2 and for powers: (dL/L)2 = a2(dx/x)2 + b2(dy/y)2 Uncertainties, so calculated, are usually referred to as the most probable uncertainty 4. Error bars on graphs You must account for the uncertainties in your measured points by representing these uncertainties as error bars on your graphs. In nearly every experiment, you are varying some quantity, X, and the measuring the impact on some quantity, Y. Measure the uncertainties in X and Y. Then plot Y vs. X with bars on Y and X to show how uncertain the measurement was (see graph below). This is what a physicist means by error bars. A graph without error bars is just plain wrong. Sometimes the size of the bar is very small - that's ok. Once you have plotted the points, do a fit to some function (usually a line) that describes the physics you expect, or just see what line you get. Remember that if you ask for a polynomial, you will get one. The trendline is not 'it', it is not the point of the exercise. Once you have this you need to address the following question: is the best fit a good fit. In other words, does the model fit the data to within the uncertainties prescribed by the error bars. This is the critical question for the experimental physicist. Your goal is not to measure a number. Your goal is not even to measure the "right" number. Really, your goal is to determine if the physical model is supported by the data. In my opinion, if you take this notion to heart, you will understand the soul of experimental physics. To do this you must numerically answer the question: "Does the data fit the model to within the uncertainties on the measurements?" Sometimes, you may not know what it is supposed to do and what kind of line the physics would suggest. In that case you are looking for a relationship between two quantities and to work out what that is you have to find something to plot that gives you a straight line, e.g. y against x 2. If you get a straight line, that is the holy grail of physics - you can say that y is proportional to x 2 - you have discovered a law that governs those two quantities. Your next task is to work out WHY is should be x2 and not x3 or 1/x. PHYSICS B (ADVANCING PHYSICS) ADVANCED GCE UNIT 2863, Component 02 Practical Investigation Coursework Assessment Form Examination session Year June Centre name Gosford Hill School Centre number 6 2 2 3 5 Candidate number Candidate name Initiative and independence: A copy of this sheet must be attached to each candidate's work as a record of the assessment. The full criteria on which the assessment should be based can be found in the Teacher Support: Coursework Guidance. Problem: Use of There is clear The definition of The problem has resources: analysis of the the problem is been defined in To good effect; Some resources Required direction problem. sound but lacks simple terms advice and put to good use Appropriate some detail resources were variables are well used. selected for A Experimental investigation. A reasonable Some evidence design A thoughtful plan plan was made. of planning Simple apparatus was constructed Careful choice of Equipment, used in a direct way (i) equipment, methods and Planning methods and techniques are Independence The student's Help and advice techniques adequate (ii) Personal own ideas are given were Safety measures Safety and responsibility was sound, and usually acted are somewhat basic resources Safety taken for plans advice given upon Some attempt is and decisions. was acted upon Safety was made to address given due safety regard. (i) (ii) /5 Use of physics B (i) Appropriate activities (ii) Practical skills and techniques In devising the strategy: Knowledge of physics is used to inform decisions about the progress of the investigation Experiments A good range of experiments, showing progression and development. The potential of the experimental work has been fulfilled Some knowledge of physics was used in planning but some work was empirical. A related set of experiments is used, or some aspects of one experiment are investigated. Some of the potential of the work has been developed The work was largely empirical Experimental work relates to the task, but is limited in certain important respects (i) Some practical skill is shown; the work is competent. Apparatus used in a direct way Experimental design There is evidence of experimental design There is some evidence of experimental design Little knowledge of physics is brought to bear Effects: Effects which might affect results are seen and dealt with Effects that might affect results are commented upon Effects that might affect results are not considered (ii) /5 Additional comments to support and explain ratings A and B /5 In executing experiments: Practical knowledge and skill are put to good use /5 Observations Observations & measurements made with appropriate precision The number and range of results are appropriate Communication C (i) Record of observation s (ii) Quality of report Record of observations The collection and recording of data are well organised Uncertainties The limitations on accuracy, are appreciated. Steps are taken to minimise uncertainties Observations are recorded clearly. The number and range of results are satisfactory Observations are those expected for the task, but may be lacking in detail, range or precision The collection and recording of data are satisfactorily achieved Tables of results lack significant details Some steps are taken to minimise uncertainties Little attempt has been made to reduce uncertainties Evaluating evidence and drawing conclusions D (i) Evaluation (ii) Conclusion s Discrepancies Discrepancies or anomalies are dealt with. Error bars have been used effectively on graphs to reflect the uncertainties Limitations of methods The limitations of the experimental procedures used are fully appreciated General trends in the data are established using appropriate techniques There is some attempt to identify trends in the data, but the analysis lacks depth Relationships proposed are consistent with the evidence Expected relationships are assumed to be present though they may be unsupported by the evidence Some discrepancies are commented upon The main limitations of the experimental procedures are appreciated Discrepancies are largely ignored There is little awareness of the limitations of the experimental procedures used (i) /5 RATING TOTAL /5 Critical thought The work shows evidence of critical and connected thought Physics Qualitative results are interpreted with care and insight. Basic errors in physics are avoided Conclusions The uncertainties inherent in the data are reflected appropriately by the tentative nature of the conclusions The work is interesting, achieving results new to the student (ii) /5 /40 Additional comments to support and explain ratings C and D Assessors signature : Work is generally neat and orderly The report is essentially a summary of the work done Graphs are basic, neat and without distracting elements. Attempts are made to choose the most appropriate plots Tables and graphs are presented, perhaps without much comment The quality of English is acceptable The quality of English just adequate The work shows progression and development. The progress of the task was not affected by the effects observed Results are given some physical interpretation, even if this reveals minor misunderstandings. There are few errors in basic physics The work is largely empirical with little attempt to interpret the physics. Conclusions, though supported by the evidence, may not be qualified as necessary Conclusions, which may be qualitative, are limited and focus on the more obvious results (ii) /5 Relationships Relationships proposed are consistent with the evidence and supported by underlying principles. Graphs and tables: Graphical plots are well-chosen, to display results effectively. Graphs and tables are correctly labelled Use of English: The quality of English is good (i) Analysis The results are well analysed, to reveal the underlying relationships Presentation: The report is concise and presents results with impact and clarity Date : List of titles 1 The factors causing variation in the attenuation of perspex. 2 Flow of water over notches and weirs. 3 Contraction of adjacent turns of a coil due to current through them. 4 Investigation of factors involved in flow of powders and crystals. 5 Investigation of light from a 1.5 V bulb and relative amounts light of different wavelength from it. 6 Load/speed variation of parachutes. 7 Study of splashes. 9 Corona discharge. 10 Forced convection. 11 Fibreglass joints. 12 Araldite bonds. 13 Audio percussion induced vibrations in metal rod. 14 Creep in copper wire. 15 Effect of shelving on breaking of waves. 16 Strengthening of ice by sawdust. 17 Aerodynamic forces on a motor car. 18 A liquid flow meter. 19 Piezo electric effect. 20 Use of eddy currents for >n-destructive testing. 21 A wind powered generator. 22 The formation of a water tornado. 23 Electrostatic particle precipitation. 24 Water impact with a plane surface of water. 25 Distribution of air-borne pollution. 26 An electrical analogue for water flow through locks. 27 Pouring - factors making the ideal spout. 28 Construction and use of a variable-interval coincidence counter for study of short-lived isotopes in a radioactive decay. 29 Factors which might be involved in the hanging of a chain of uniform mass/unit length. 30 Smoke rings. 31 The effect of different periods of short-circuiting on the rate of recovery of a dry cell. 32 Pressure/volume relationship of a rubber balloon. 33 Behaviour of drops on a hot plate. 34 Feasibility of solar energy. 35 Optimum aperture of a pin-hole camera 36 Absorption of microwaves. 37 A study and analysis-of rotational vortices. 38 The control of sound in rooms. 39 The effect of internal pressure on the performance of a football. 40 Conductivity of electrolytes in wood. 41 Absorption of liquids by filter paper. 42 Shapes of water columns flowing from tops. 43 Shaded magnetic probes. 44 Ionisation of air and van de Graff generators. 45 Design of an automatically operating burette. 46 Use of a photo-sensitive device as a photometer and application to light emitted from a light bulb. 47 Energy stored in a clock spring. 48 Investigation of cling wrapping: Why does it cling? 49 The production of a pump using the movement of ions in a magnetic field. 50 Magnetic suspension. 51 Temperature in a flame. 52 Absorption of electromagnetic waves by glass, 53 Motor and dynamo effects on conducting liquids. 54 The sound of sea as heard in sea shell Is. 55 Performance of a fan 56 Lightening valve rocker arms to improve engine performance. 57 Phase change in an induction motor. 58 Fringes in draining soap Films. 59 Heat pulse in a rod 60 Hovercraft. 61 Properties of foam plastic. 62 The singing of a kettle. 63 Acoustics of a large room 64 Relationship between the wavelength and changing concentration in a fluorescent substance 65 Rotating shafts. 66 Craters. 67 Making an accelerometer. 68 The shape of a drop. 69 Holes in magnets. 70 Oscillations of wire rings. 71 Does a flame conduct electricity? 72 Thermocouples using various metal junctions. 73 Sound frequencies from metal plates. 74 Quantitative transmission of radiant heat. 75 Puncture properties of paper. 76 Effusion of moving gases. 77 Plastic properties of leather. 78 Transmission of sound through water. 79 Effect of pressure on a sparking plug. 80 The settling rate of metallic particles. 81 Investigation into electrostatic load speakers. 82 The effect of shape on the efficiency of a rowing blade. 83 Some physical properties of a brake fluid. 84 comparison of the thrust of a propeller with its rate of turning. 85 To investigate the stream-lining of fish as related to their passage through water. 86 Measurement of capacitance using a monostable circuit. 87 Strengthening ice by paper. 88 Investigation of windmill design. 89 Perfect perforations. 90 Methods of using waves and tides to produce electricity; using models in the laboratory. 91 Harmonics in a guitar. 92 Behaviour of bubbles rising in liquids. 93 Beta-particie emission energy spectroscopy. 94 Properties of aerial arrays. 95 Variation in range of alpha -particles in air at low pressure. 96 Does water absorb ultra-violet light? 97 An experiment in the synthesis of speech. 98 Nature of water vortices. 99 Three-dimensional waves in jelly. 100 Performance of a model diesel engine. 101 Effect of wavelength on the angle of refraction of water ripples. 102 Dust and static as a problem with gramophone records. 103 Multivibrator used as a motor speed control. 104 A braking system using electromagnetic induction. 105 Properties of a vibrating string using Lissajou's figures. 106 Factors affecting the lift of an aerofoil. 107 Magnetic amplifiers. 108 The effect of a grid between two electrodes in partly ionic medium. 109 Back-scattering of beta particles. 110 Strength and domain structure of magnets at different temperatures. 111 Hull design. 112 Resonating laminas. 113 Transmitting still pictures. 114 interference produced by electric switches. 115 Sound damping by Polythene. 116 Fishing rod strike times. 117 Path of a ball through air. 118 The effect of the thickness of fibreglass logging in the temperature distribution along a brass rod, heated at one end. 119 Vibrating times of certain wires after being given initial displacement. 120 Electrostatic cooling. 122 Absorption spectra of plant pigments. 123 Pitch of xylophone bars. 125 The catapult, methods of measuring efficiency. 126 To show stress positions in sheets. 127 Visibility of colour in the dark. 128 The creep of lead. 129 Use of a search coil to measure magnetic fields at high Frequencies. 130 Eddy current heating. 131 properties of 4 ply wool which make it useful for woollen garments. 132 Some useful properties of nylon fabric. 133 Strength of ice girders. 134 Intensity of radiation from a GHz oscillator. 135 Electronic feedback. 136 Aeronautics of a fly, 137 Load bearing properties of a spider's web. 138 Minimising feedback in a microphone system. 139 Analogue for polarising effect of hills etc on unpolarised UHF. 140 Effect of electromagnetic waves on permittivity. 141 Effect of smoke particles on the wavelength of sound. 142 Design, operation and uses of spectrum analysis for musical instruments. 143 Frequency of vibrating warm liquid containers. 144 A water trough as an accelerometer. 145 Factors affecting the suitability of materials for use in umbrellas. 146 Viscosity of fluids in flywheel bearings. 147 Potential variation in a tank of conducting liquid. 148 How the mass of an air track vehicle affects its performance. 149 Shapes and oscillations of soup bubbles. 150 Creep in rubber. 151 Support of a ball I in a jet. 152 How long does the flash from a bulb last? 153 Investigation of the behaviour of a commercial radiometer. 154 Contact resistance. 155 Switching speed of a toggle switch. 156 Forces in the skin of a balloon. 157 Schlieren photography. 158 Capacitor microphone. 159 Comparison of three loudspeakers. 160 Electrical impulses in skin. 161 The effect of different pitches on the overall performance of a marine propeller. 162 The velocity of particles from an 241-Am source. 163 Efficiency of a 12 volt motor. 165 Efficiency of airscrews. 166 The spiralling flight paths of various winged seeds. 167 Electrical resistance of ice + water with salt added. 168 Behaviour of wood under stress, strength and rigidity of different beam and girder constructions. 169 The dashpot method of damping. 170 The electrical characteristics of a solar call. 171 The behaviour of large waves in a narrow channel. 172 Variation of friction with the relative velocity of two bodies in contact. 173 Variation of speed of a mechanical wave in a wire. 174 Shattering of glass. 175 Noise in a hot resistor. 176 Restitution time of a steel ball on an iron surface. 177 Paddle wheel performance. 178 Effects of detergents an the reflection of light by cotton. 179 Relationship between humidity and velocity of sound in air. 180 Water rise up polymer threads. 181 Acoustic properties of plastic forms. 182 Intrinsic conduction of thermistors. 183 Vibrating plates. 184 Photoelectric effect in semiconductors. 185 Effect of load on cells. 186 The bursting of a balloon. 187 Microwave for ranging and detection. 188 Oscillations and deflection of model suspension bridge. 189 Deflection of water droplets at high voltage. 190 Effect of magnetic fields on electrolysis and semiconductors. 191 Electrical weighing machine. 192 Damping of oscillations in liquids. 193 Efficiency of a fan belt. 194 Finding the current in a floating aluminium ring. 195 Venturi principle. 196 Electromagnetic f lowmeter: using the Hall effect in liquids to measure the velocity of ionic fluid througha tube. 197 Investigation of sails. 198 The thermoelectric effect in metal wire and foils. 199 Action of salt on ice with reference to roads. 200 Why do soap films burst ? 201 The practicality of recharging dry cells. 202 The effect of internal energy on stress/strain relation. 203 Effects of a black and white disk producing colour. 204 Ultra violet absorption by water. 205 High velocity impacts in sand. 206 Effects of concentration and temperature on conductance of a solution. 207 Effect of magnetic field on current flowing through a thermionic diode. 208 To find the best 'tap' to polish plate glass. 209 Hall voltage in electrolysis. 210 Characteristics of an LDR. 211 Sedimentation. 212 Bumping and bol I;ng. 213 Efficiency of a water wheel. 214 Adhesive properties of 'blu-tack'. 215 Conductivity of damp wood. 216 Friction reduction by oil and grease. 217 Add-on multi-beam display unit for oscilloscope. 218 Rotating liquid surfaces. 219 Measuring forces electrically. 220 Cross linkages in rubber. 221 The physical characteristics of a system which measures distance accurately using light interference. 222 The flight properties of a shuttle cock, 223 Rheological gel strength and other physical properties of solutions of gums used in food industry. 224 Polarisation of scattered light. 225 Efficiency of a bow. 226 Soil dispersion by falling water. 227 Origins and forms of waves at interfaces. 228 Construction of an air flow meter. 229 Fresnel lenses for 3 cm waves. 230 Paper clips. 231 Resistivity and dislocations. 232 Conductance through low pressure gas 233 Forced oscillations in mechanical resonating systems. 234 Electromagnetic clutch. 235 Dam spillways. 236 Physical efficiency of common surfactants. 237 Factors affecting refractive index of liquids. 238 Projecting drops from a nozzle. 239 Functional properties of copper pipes on cooling. 240 Absorption spectra of plant pigments. 241 To make and use a photometer to investigate the luminous intensity of a lamp. 242 To try and find an ideal air track slider. 243 Building and testing an electrostatic speaker. 244 To find the best aerial design to give the strongest signal for horizontally polarised radio wave reception. 245 Crystal growth. 246 The bouncing of relay contacts. 247 Friction of shoe sales. 248 The string telephone. 249 Effect of cooling fins. 250 Rate of condensation of water etc with an applied electric field, 251 Electronic tuning device for a guitar. 252 Factors affecting the efficiency of infrared absorption. 253 Properties of plastic cups. 254 Cracks in glass rods. 255 The effect of make up on ultra violet light. 256 To study the effect of soaking in water on the tensile strength of cartridge paper. 257 The natural radioactivity of rocks. 258 The effect on the rate of combustion of a material of on electric field. 259 Effect of liquids on the static bending of balsa wood 260 Temperature changes with depth in liquids and colloids when heated. 261 Factors affecting regulation. 262 Motion of boats through narrow channels. 263 Effect of solvents and papers on performance of chromatograms. 264 Paper strip in an air stream. 265 Absorption of radiation of heat from a surface. 266 Lead cells. 267 Particle cohesion. 268 Thermopile efficiency. 269 Lecher wires. 270 Formation and bursting of soap bubbles. 271 taking and testing a graphite strip microphone. 272 Recombination time of ions. 273 A relationship between thermal and electrical conductivities in metals. 274 Fog lamps. 275 Power transmission efficiency of a cycle chain. 276 Currents induced in ionic solutions moving 277 Electrical properties in moist gycerol 278 Liquid phase secondary coil in a transformer. 279 The frequency response of dielectric materials in capacitors. 280 Drainage of a vessel. 281 Penetration effects of air gun pellets on plasticine and wood. 282 Lubrication of graphite. 283 Efficiency of GM tube. 284 Producing a hologram. 285 Hysteresis in rubber. 286 Elastic properties of fishing line. 287 The flow of water around a U-bend. 288 The transmission reflection and absorption of ultraviolet light by Polythene. 289 Properties of a paste of flour and water. 290 To investigate the factors affecting the !strength of a pillar. 291 Analysis of a thermos flask. 292 An investigation into the depth of focus of the eye. 293 Factors affecting the bow waves produced by a boat. 294 The effect of turbulation on model glider aerofoil performance. 295 Factors affecting the playing speeds of a squash ball. 296 Hot wire windspeed meter. 297 The strength of plaster. 298 Investigating P T F E. 299 Corrosion and cathodic protection. 300 Investigation of Moire fringes as of use in measuring. 301 Fluid analogue of an electric current. 302 Water shrinkage of tissue paper. 303 The analysis and synthesis of musical sounds. 304 An investigation of the diffusion of tea through teabags, 305 The deflection of liquids passing through an electric field. 306 Torque - r p m curve for a model diesel engine. 307 Studying the effects of stretching different plant tissues. 308 Stability of slopes. 309 Linear motor. 310 Hardness of pencils. 311 Humidity switch. 312 Forces on fences. 313 Rupert's drops. 314 Sea anchors. 315 Paramagnetism. 316 The forces between magnets. 317 Is eye colour caused by scattering of light? 318 Solders of various composition. 319 Hysteresis in a transformer. 320 The efficiency of cloud chambers. 321 Factors affecting behaviour of sparks. 322 Motion of elastic pendulum. 323 The effect of reduced pressure upon ionisation currents in air. 324 Factors affecting the production of uniform bubble rafts. 325 Rate of deposition of particles from aqueous suspensions. 326 Measurement of paper thickness. 327 The velocities of selected ions in aqueous solution. 328 Distribution of velocities of thermoelectrons. 329 The formation of sand dunes. 330 Water flow round obstructions. 331 To construct an accelerometer. 332 Nature of pencil lines. 333 Polarising effects of sellotape. 334 Life history of water drop. 335 Effect of oil on evaporation of liquids. 336 Energy loss in bounces. 337 What causes flapping in flags? 338 Strength of string. 339 Accuracy of hand catapult. 340 Molten metal into water. 341 An investigation into photoelasticity. 342 Resonance of wine glasses, 343 Charge leakage from electroscope. 344 Measurement of speed by Doppler effect. 345 Metals - work hardening and heat treatment. 346 Rings formed by running water on flat plates. 347 Electrode potentials of period 4 transition metals. 348 Evaluation of chalk/blackboard writing system. 349 Reverberation time apparatus. 350 Behaviour of ink drops in water. 351 Efficiency of model racing car. 352 Vibrations caused by an electric motor. 353 Electrical resistance welding. 354 Making and calibrating a strain gauge. 355 Diffraction halos produced by small particles. 356 Heat flow through crystals. 357 The effect of twisting on 2 ply wool. 358 Reduction of vibrations subjected upon equipment. 359 Energy stored/efficiency of a clock. 360 Resonance of metal rings. 361 Production of diffraction gratings. 362 Turbine blades. 363 Refraction of a light beam through unstirred sugar solution. 364 Construction and use of a chart recorder. 365 Physical properties of hen's eggs. 366 Electrical properties of silver deposited on glass slides. 367 Millikan's experiment with smoke particles, 368 Measurement of the vapour pressure of water at various temperatures using microwaves. 369 Feasibility of comparing abrasive characteristics by light scatter. 370 Application of Bernoulli's principle to design of chimney pots. 371 Variation of light output and temperature of tungsten lamps as a function of power input, 372 Effect of electric fields on rate of evaporation of liquids. 373 Mechanical properties of plastic sulphur. 374 Potential drop method of crack characterisation. 375 Optimum launching of flying discs. 376 Uniplanor girder design. 377 Apparatus to provide a constant force. 378 Alpha particle absorption by gases. 379 Self inductance of metal springs. 380 The ways in which a glass rod transmits light.