Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ CHAPTER 1 : INTRODUCTION TO PHYSICS 1.1 Understanding Physics PHYSICS Mechanical Energy Study of the natural phenomena and the properties of matter. Matter Solid Heat Energy Light Energy Energy Wave Energy Liquid states forms Electrical Energy Gas Nuclear Energy Chemical Energy Properties of Matter Relationship with matter Relationship with energy Properties of Energy in the fields Mechanics Properties of matter Wave Heat Electronics Electricity & Electromagnetism Light 1 Atomic Physics & Nuclear Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 1.2 PHYSICAL QUANTITIES Base quantity 1 2 3 any quantity that can be measured by a scientific instrument. A physical quantity is …………………………………………………………………….. stopwatch, metre rule balance,thermometer,ammeter Examples of scientific instruments :……………………………………………………… etc. A base quantity is a physical quantity which cannot be defined in terms of other physical quantities. 4 Study the following picture and list the physical quantities that can be measured. The list of physical quantities : Height, 1. ………………………………………. mass, 2. ………………………………………. size, 3. ………………………………………. age, 4. ………………………………………. temperature, 5. ………………………………………. current 6. ………………………………………. Power, 7. ………………………………………. Thermal energy 8. ………………………………………. battery 5 List of 5 basic physical quantities and their units. Base quantity 6 Symbol S.I. Unit Symbol for S.I. Unit Length l Mass m kilogram kg Time t second s Current I Amppere A Temperature T Kelvin K meter m Two quantities that have also identified as basic quantity. There are : Light intensity candela ii) ………………………. Amount of substance unit …………….. mol i) …………………………..unit ………….. 2 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Standard Form 1 Standard form = A x 10 n , 2 1 < A < 10 and n = integer simplify the expression of very large and small numbers Standard form is used to …………………………………………………………………... 3 Some physical quantities have extremely small magnitudes. Write the following quantities in standard form : 6.37 x 106 m a. Radius of the earth = 6 370 000 m =…………………………………………………. 1.673 x 10-27 kg b. Mass of an electron = 0.000 000 000 000 000 000 000 000 000 000 911 kg =………... 3.0 x 10 -4 m c. Size of a particle = 0.000 03 m = ……………………………………………………… 7.2 x 10 -8 m b. Diameter of an atom = 0.000 000 072 m = …………………………………………... 5.5 x 10-7 c. Wavelength of light = 0.000 000 55 m = …………………………………………….. Prefixes represent a large physical quantity or extremely small quantity in S.I 1. Prefixes are usually used to ………………………………………………………………... units. before the unit as a multiplying factor. 2. It will be written …………………………………………………………………………… 3. The list of prefixes : 12 Tera (T) 9 Giga (G) 6 Mega (M) 10 10 10 2 103 101 10 100 10 10 10 -3 10 -6 10-9 10 -12 -1 -2 kilo (k) Hekto (ha) Deka (da) desi (d) centi (s) mili (m) Eg : 1 x 1012 m 1 Tm = ……………………………………. 3.6 x 10-3A 3.6 mA = ……………………………………. How to change the unit ; Eg : 1. Mega to nano 1.33 MA = 1.33 x 106 A = 1.33 x 10 6-(-9) nA = 1.33 x 10 -15 nA micro () 2. Tera to micro nano (n) 1.23 Tm to unit m unit 1.23 Tm = 1.23 x 10 12m = 1.23 x 10 12 – (-6)m pico (p) = 1.23 x 10 18m 5456 pA to MA unit 5456 pA = 5.456 x 10 3 + (-12) pA 3. piko to Mega = 5.456 x 10 -9 pA = 5.456 x 10 -9 –(6) MA = 5.456 x 10 -15 MA 4. Some physical quantities have extremely large magnitudes. These extremely large and small values can be written in standard form or using standard prefixes. Write the quantities in standard prefixes: 9.1 x 10 1MHz a. Frequency of radio wave = 91 000 000 Hz = …………………………………………. 1 12.8 Mm = 1.28 x 10 Mm b. Diameter of the earth = 12 800 000 m = ……………………………………………… 2 383 Mm = 3.83 x 10 Mm c. Distance between the moon and the earth = 383 000 000 m = ……………………… 6.0 x 10 12 Tm d. Mass of the earth = 6 000 000 000 000 000 000 000 000 kg = ……………………… 3 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Derived quantities 1 a physical quantity which combines several basic quantities A derived quantity is …….………………………………………………………………… through multiplication, division or both ……………………………………………………………………………………………… 2 Determine the derived unit for the following derived quantities. Derived quantity Formula Derived unit Name of derived unit area area = length x width m x m = m2 – volume density velocity momentum Acceleration Force pressure volume = length x width x height density velocity mass volume m displacement time change in velocity time force = mass x acceleration pressure force area weight = mass x gravitational acceleration work work = force x displacement work time power kinetic energy 1 K.E mass velocity 2 2 potential energy P.E = mass x gravitational acceleration x height charge charge = current x time work charge voltage voltage resistance resistance 3 kg m 3 voltage current – – m m s 1 s – kg m s-1 – m s 1 m s -1 s 1 s m s 2 kg m s-2 kg m s-2 / m2 weight power mxmxm=m kg momentum = mass x velocity accelerati on 3 kg ms -2 – Newton (N) kg m-1 s-2 (Nm-2) Newton (N) Nm Joule (J) J s -1 Watt (W) Kg ms-2 Joule (J) Kg ms-2 Joule (J) Ampere second (As) Coulomb (C) J C-1 Volt (v) v A-1 Ohm (Ω) Note that the physical quantities such as width, thickness, height, distance, displacement, perimeter, radius and diameter are equivalent to length. 4 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 1.3 1 2 3 SCALAR AND VECTOR QUANTITIES Quantity which has only magnitude or size Scalar quantities are ……………………………………………………………………… Mass, Length, Speed, volume Examples : ………………………………………………………………………………… Quantity which has magnitude or size and direction. Vector quantities are………………………………………………………………………... Velocity, Force, Displacement, Acceleration Examples : ………………………………………………………………………………… Study the following description of events carefully and then decide which events require magnitude, direction or both to specify them. Description of events Magnitude 1. The temperature in the room is 25 0C Ý 2. The location of Ayer Hitam is 60 km to the north-west of Johor Bahru Ý Direction Ý 3. The power of the electric bulb is 80 W Ý 4. A car is travelling at 80 km h-1 from Johor Bahru to Kuala Lumpur 1.4 Ý Ý MEASUREMENTS Using Appropriate Instruments to Measure 1 measuring instrument with different measuring capabilities. There are various types of…………………………………………………………………. 2 measure a particular quantity. We must know how to choose the appropriate instrument to …………………………….. 3 Examples of instrument and its measuring ability. Measuring instrument Measuring tape Meter rule Vernier caliper Micrometer screw gauge Range of measurement Up to a few meters 1m Smallest scale division 0.1 cm 0.1 cm (0.01 m) 10 cm 0.01 cm less than 2 cm (20 mm) 5 0.001 cm (0.01 mm) Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 4 Sample of measuring instruments : is use to measure electric current 4.1 Ammeter : …………………………………………………………………………….. 1 incorret reading 2 1 3 0 4 pointer 2 3 0 pointer mirror correct 4 reading mirror Pointer’s image is behind the pointer Pointer’s image can be seen is use to determine the volume of liquid. 4.2 Measuring cylinder : …………………………………………………….................... wrong position of eye Right position of eye (eye are in a line perpendicular to the plane of the scale) wrong position of eye water is use to determine the length 4.3 Ruler : ……………………………………………………………………………………… wrong 10 11 right 12 wrong 13 14 15 Reading = ……………… cm 4.4 Vernier calliper A venier calliper is used to measure : small object depth of a hole external diameter of a cylinder or pipe internal diameter of a pipe or tube a. ………………………………………………b. …………………………………………. c. ………………………………………………d. …………………………………………. 0.01 cm A vernier calliper gives readings to an accuracy of …………………………………...…. cm. inside jaws scale1 cmVernier 0 2 3 4 Main scale SKALA 0 outside jaws Main scale in cm 0.9 Length of vernier scale = ……… cm 0 1 Vernier scale is divided into 10 divisions 0.09 Length of the divisions = ………. cm 0 5 10 Vernier scale The differenct between the main scale and vernier 0.01 cm scale is = ……………………………. cm 6 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 0 cm Main scale 1 0.2 cm = …………………. 0 1 2 3 4 5 6 7 8 9 10 Find the division of vernier scale which is coincides with any part of the main scale 0.06 cm Vernier scale = ………………….. 0.26 cm Final reading = ………………….. The diagram below shows a vernier calliper with reading. 0 1 0 5 0.15 Vernier calliper reading = ……………. cm 10 4.5 Micrometer screw gauge. A micrometer screw gauge is used to measure : objects that are small in size a. ……………………………………………… diameter of a wire b. …………………………………………. diameter of small spheres such as ball bearings c. ……………………………………………… One complete turn of the thimble (50 division) moves the spindle by 0.50 mm. Division of thimble 0.5 ÷ 50 = ………………….. 0.01 mm = ………………….. A accuracy of micrometer 0.01 mm screw gauge = …………….. 4.5 mm Sleeve scale : …………… 0.22 mm Thimble scale : …………. 4.62 mm Total reading : ………….. Example : 2.0 mm Sleeve scale : …………… 0.22 mm Thimble scale : …………. 2.22 mm Total reading : …………... 7 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 4.6 Some others measuring instruments : Analogue stopwatch digital stopwatch ……………………… …………………… Measuring tape ………………………. thermometer miliammeter ……………………… ……….. measuring cylinder …………………….. beaker ……………… Hands-on activity 1.1 on page 1 of the practical book to learn more about choosing appropriate instruments. Exercise: Vernier Callipers And Micrometer Screw Gauge 1. Write down the readings shown by the following (a) 7 8 5 0 (b) 4 A B 10 Answer: …7.79 cm………….. 5 Answer: …4.27 cm………….. P 0 Q 10 5 6 (c) 7 Answer: ……6.28 cm……….. 0 (d) 1 5 1 0 Answer: …0.02 cm………….. 0 10 5 8 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 2. (a) The following diagram shows the scale of a vernier calliper when the jaws are closed. 1 0 0 10 5 Zero error = …0.02……… cm (b). The following diagram shows the scale of the same vernier calliper when there are 40 pieces of cardboard between the jaws. 5 6 0 Reading shown 10 5 = …5.64…….cm Corrected reading = …5.62……..cm 3. Write down the readings shown by the following micrometer screw gauges. (a) (b) 0 40 5 0 5 35 10 35 30 Answer: …………………………. Answer:………………….. (c) (d) 25 0 0 5 20 20 15 Answer:………………………… Answer:……………………. 4. (a) Determine the readings of the following micrometer screw gauges. 0 0 0 45 5 0 Zero error = …0.02…….. mm Zero error = …0.03…….. mm 9 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ (b) Determine the readings of the following micrometer screw gauges. 0 5 0 20 5 0 15 Zero error = 0.03………mm Reading shown = 6.67………..mm Corrected reading = 6.64………..mm 5. Write down the readings shown by the following micrometer screw gauges. (a) (b) 0 40 5 0 5 35 10 35 30 Answer: …6.88 mm………… Answer: …..12.32 mm…… (c) (d) 25 0 0 20 5 20 15 Answer:………4.71 mm………… Answer: 9.17 mm………… 6. (a) Determine the readings of the following micrometer screw gauges. 0 0 0 45 Zero error = …-0.02 mm 5 0 Zero error = …0.03.. mm (b) Determine the readings of the following micrometer screw gauges. 0 0 5 0 Zero error = …0.03.mm 5 20 15 Reading shown = ….6.67..mm Corrected reading = …6.64..mm 10 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Accuracy and consistency in measurements. The ability of an instrument to measure nearest to the actual value 1. Accuracy : ………………………………………………………………………………… The ability of an instrument to measure consistently with little or no relative 2. Consistency : ……………………………………………………………………………… deviation among readings. The ability of an instrument to detect a small change in the quantity measured. 3. Sensitivity : ………………………………………………………………………………… target consistent but inaccurate consistent and accurate inaccurate and not consistent ………………………… ……………………… …………………………….. target Accurate but not consistent inaccurate but consistent inaccurate but not consistent …………………….. …………………………….. ……………………………… Hands-on activity 1.2 on page 2 of the practical book to determine the sensitivity of some measuring instruments. Errors in measurements of approximation only. 1. All measurements are values ……………………………………………………………… how close the measurement is to the actual value. 2. In other word, it is a matter of …………………………………………………………… error exist in all measurements. 3. This is because …………………………………………………………………………… 4. Two main types of errors: Systematic errors 4.1 …………………………………………… Occurs due to : a weakness of the instrument a) ……………………………………………………………………………………… the difference between reaction time of the brain and the action. b) ……………………………………………………………………………………… zero error is when the pointer is not at zero when not in use. c) ……………………………………………………………………………………… Examples : Range of the measuring instrument – absolute error . a) ……………………………………………………………………………………… Reaction time of the brain. b) ……………………………………………………………………………………… Initial reading is not at the zero scale – zero error c) ……………………………………………………………………………………… 11 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Absolute error : Refer to the smallest reading that can be measured by an instrument. ……………………………………………………………………………………….………… …………………………………………………………………………………………………. Example : If, the smallest reading = 0.1 cm Then, Absolute error = 0.1 / 2 = 0.05 cm It occurs because the position of the eye is not perpendicular to the scale of Parallax error : ……………………………………………………………………………… the instrument. wrong right position of the eye (no error) wrong 0 1 0 cm 0 1 2 3 4 5 6 7 8 9 10 1 cm 0 1 2 3 4 5 6 7 8 9 10 Zero error = +0.03 cm Zero error = – 0.04 cm where the pointer is not at zero when not in use Zero error : …………………………………………………………………………………... Correct reading = observed reading – zero error Positive zero error Horizontal reference negative zero error 2 divisions below horizontal reference Zero error = +0.02 mm Horizontal reference 3 divisions above horizontal reference Zero error = –0.03 mm Positive zero error Zero error of screw meter gauge 12 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Random error 4.2 …………………………………………….. Occurs due to carelessness in making the measurement. a) ……………………………………………………………………………………… parallex error , incorrect positioning of the eye when taking the readings. b) ……………………………………………………………………………………… sudden change of ambient factors such as temperature or air circulation. c) ……………………………………………………………………………………… Example : Readings are close to the actual value but they are not consistent. a) …………………………………………………………………………………..… Can be minimized by consistently repeating the measurement at different places in b) …………………………………………………………………………………….. an identical manner. ..................................................................................................................... 1.5 SCIENCETIFIC INVESTIGATION Steps Explanation 1 Making observation Gather all available information about the object or phenomenon to be studied. Using the five senses, sight, hearing, touch, taste and smell. 2 Drawing inferences A conclusion from an observation or phenomena using information that already exist. Variables are factors or physical quantities which change in the course of a scientific investigation. There are three variables : i. Manipulated variables – physical quantity which changes according to the aim of the experiment. ii. Responding variables – physicals quantity which is the result of the changed by manipulated variable. iii. Fixed variables – physicals quantities which are kept constant during the experiment. 3 Identifying and controlling variables 4 Formulating a hypothesis Statement of relationship between the manipulated variable and the responding variable those we would expect. Hypothesis can either be true or false. 5 Conducting experiments i. Conduct an experiment includes the compilation and interpretation of data. ii. Making a conclusion regarding the validity of the hypothesis. 13 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Plan and report an experiment Situation : A few children are playing on a different length of swing in a playground. It is found that the time of oscillation for each swing is different. Steps 1 Inference 2 Hypothesis 3 Aim 4 Variables 5 List of apparatus and materials 6 Example : refer to the situation above The period of the oscillation depends on the length of the pendulum. When the length of the pendulum increases, the period of the oscillation increases. Investigate the relationship between length and period of a simple pendulum. Manipulated variable : the length of the pendulum. Responding variable : Period Fixed variable : the mass of the pendulum and the displacement. Retort stand withbob, clamp, 100 cm of thread, bob, Retort stand, metal thread, stopwatch, protractor, metre rule, Arrangement of the apparatus Retort stand protractor ll bob 7 Procedures 1. Set up the apparatus as shown in the figure above. 2. Measure the length of the pendulum,l = 60.0 cm by using a meter rule. 3. Give the pendulum bob a small displacement 300.Time of 10 oscillations is measured by using a stop watch. 4. Repeat the timing for another 10 oscillations. Calculate the average time. Period = t10 oscillations 10 5. Repeat steps 2, 3 and 4 using l = 50.0 cm, 40.0 cm, 30.0 cm and 20.0 cm 14 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 8 Tabulate the data Time for 10 oscillations / s 2 1 Average Length,l / cm 6 0 .0 5 0 .0 4 0 .0 3 0 .0 2 0 .0 9 Analyse the data T/s 15.8 15.0 13.1 11.9 9 .9 1 5 .7 1 5 .0 1 3 .1 1 1 .9 9.9 15.8 15.0 13.1 11.9 9 .9 Period/ s (T = t10/10) 1 .5 8 1 .5 0 1 .3 1 1 .1 9 0 .9 9 Graf of period, T vs pendulum’s length, l 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0 10 Discussion 11 Conclusion Precautions 12 step 10 20 30 40 50 60 l / cm Precautions : 1. Oscillation time is measured when the pendulum attained a steady state. 2. Time for 10 oscillations is repeated twice to increase accuracy. 3. Discussion (refer to given questions) The period increases when the length of the pendulum increases. Hypothesis accepted. 1. avoid from strong wing blowing 2. use small amplitude 3. time taken at the equilibrium position 15 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Reinforcement Chapter 1 Part A :Objective Question 10. The diameter of a particle is 250 m. What is its diameter in cm? A 2.5 x 10-2 B 2.5 x 10 -4 C 2.5 x 10-6 D 2.5 x 10 -8 1. Which of the following is a base SI quantity? A Weight B Energy C Velocity D Mass 11. Which of the following prefixes is arranged in ascending order? A mili, senti, mikro, desi B mikro, mili, senti, desi C mili, mikro, desi, senti D desi, mikro, mili, senti 2. Which of the following is a derived quantity? A Length B Mass C Temperature D Voltage 3. Which of the following is not a basic unit? A Newton B kilogram C ampere D second 12. Velocity, density, force and energy are A basic quantities B scalar quantities C derived quantities D vector quantities 4. Which of the following quantities cannot be derived? A Electric current B Power C Momentum D Force 13. Which of the following shows the correct conversion of units? A 24 mm3 =2.4 x 10-6 m3 B 300 mm3=3.0 x 10 -7 m3 C 800 mm3=8.0 x 10 -2 m3 D 1 000 mm3=1.0 x 10-4 m3 5. Which of the following quantities is not derived from the basic physical quantity of length? A Electric charge B Density C Velocity D Volume 14. Which of the following measurements is the shortest ? A 3.45 x 10 3 m B 3.45 x 10 4 cm C 3.45 x 10 7 mm D 3.45 x 10 12 m 6. Initial velocity u, final velocity v, time t and another physical quantity k is related by the equation v - u = kt. The unit for k is A m s-1 B m-1 s C m s-2 D m2 s-2 15. The Hitz FM channel broadcasts radio waves at a frequency of 92.8 MHz in the north region. What is the frequency of the radio wave in Hz? A 9.28 x 10 4 B 9.28 x 10 5 7 C 9.28 x 10 D 9.28 x 10 10 7. Which of the following has the smallest magnitude? A megametre B centimetre C kilometre D mikrometre 16. An object moves along a straight line for time, t. The length of the line, s is 1 given by the equation s gt 2 . The 2 SI unit of g is A m2 s2 B m s-2 -1 C s D s-2 m 8. 4 328 000 000 mm in standard form is A 4.328 x 10-9 m B 4.328 x 10 -6 m C 4.328 x 106 m D 4.328 x 10 9 m 9. Which of the following measurements is the longest? A 1.2 x 10-5 cm B 120 x 10-4 dm C 0.12 mm D 1.2 x 10 -11 km 16 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ Part B : Structure Question 1. A car moves with an average speed of 75 km h-1 from town P to town Q in 2 hours as shown in Figure 1. By using this information, you may calculate the distance between the two towns. P Q Figure 1 (a) (i) Based on the statements given, state two basic quantities and their respective SI units. Distance : m and time : s ……………………………………………………………………………………… (ii) State a derived quantity and its SI unit. Speed – m s-1 ……………………………………………………………………………………… (b) Convert the value 3 1 . m to standard form. 5 x 10-3 = 0.2 x 10 m = 2.0 x 102 m (c) Complete Table 1 by writing the value of each given prefix. -9 10 -6 10 6 10 9 10 Table 1 (d) Power is defined as the rate of change of work done. Derive the unit for power in terms of its basic units. work Force displacement kgms 2 m Power = = Unit = = kg m2 s-3 time time s (e) Calculate the volume of a wooden block with dimension of 7 cm, 5 cm breadth and 12 cm height in m3 and convert its value in standard form. -2 -2 -2 Volume = (7 x 10 ) (5 x 10 ) (12 x 10 ) -6 = 420 x 10 -4 3 = 4.20 x 10 m 17 Physics Module Form 4 Teacher’s Guide Chapter 1 : Introduction To Physics _________________________________________________________________________________________ 2. Figure 2 shows an ammeter of 0—3 A range. Figure 2 Mirror (a) (i) Name component X. ………………………………………………………………... To avoid parallax error (ii) What is the function of X? …………………………………………………………. (b) Table 2 shows three current readings obtained by three students. Table 2 No (i) Did all the students use the ammeter in Figure2? ..…………………………………. (ii) Explain your answer in (b)(i). 3 rd readings obtained by student 2 and 3 are out of the meter range. ……………………………………………………………………………………… 3. Figure 3 shows the meniscus of water in a measuring cylinder K, L, and M are three eye positions while measuring the volume of the water. (a) (i) Which of the eye positions is correct while taking the reading of the volume of water? L …….…………………………………… Figure 3 (b) The water in the measuring cylinder is replaced with 30 cm3 of mercury. (i) In Figure 4, draw the meniscus of the mercury in the measuring cylinder. Figure 4 (ii) Explain why the shape of the meniscus of mercury is as drawn in (b)(i). The cohesive force is larger than the adhesive force ……………………………………………………………………………………… 18