MOCK EXAMINATION A-LEVEL PHYSICS PAPER II FORM: 7 Date: Time: NAME: ______________________ CLASS: 7 B CLASS NO.: ______ SECTION A. MULTIPLE CHOICE QUESTIONS (30%) There are 45 questions in this section. Answer ALL questions. You should spend 1 hour and 45 minutes on this section. Where necessary, take g to be 10 m s and c to be 3 108 m s-1. -2 1. To measure the density of a ball, the diameter d on the ground at the same time. X is projected and mass m of the ball are measured and given vertically upwards at a speed of 10 m s-1 while by Y is projected at an angle of 30 to the d = (20.0 0.2) cm horizontal at a speed of 20 m s-1. Which of the m = (50 1) g following is/are true ? What is the percentage error in the density of (1) the ball ? A. 1% B. 2% C. 3% D. 5% positions at the same time. (2) X and Y have the same acceleration throughout the flight in air. (3) X and Y have zero speed at their highest positions. 2. A man kicks a ball coming towards him from the east. X and Y reach their respective highest The ball flies away to the north afterwards. If A. (1) only B. (1) and (2) only C. (2) and (3) only D. (1), (2) and (3) mass of the ball = 2 kg speed of ball before kicking = 6 m s-1 5. A car travels on a hump of radius r and when it speed of ball after kicking = 8 m s-1 passes the highest point H as shown in the What is the magnitude of the impulse acting on figure, the driver feels weightless instantly. the ball ? The minimum speed on the car at H is A. 4Ns B. 8Ns C. 12 N s D. 20 N s v H A. 3. A hose reel of cross-sectional area 10 cm2 ejects -1 water a speed of 10 m s . The water hits a vertical wall and stops immediately. Given that density of water is 1 000 kg m-3, the force exerted on the wall by the water is A. 10 N. B. 50 N. C. 100 N. D. 1 000 N. 4. Balls X and Y are projected from the same point F7EXM2203/CYT/P.1 rg 2 . B. rg . 2 C. rg . D. 2 rg 6. When a light spring is loaded with a mass of 500 g, it extends 10 cm. The period of Go on to the next page oscillation of the mass in vertical oscillation is to the inclined surface is A. 0.10 s. A. B. 0.20 s. C. 0.31 s. D. 0.63 s. 0. v 2 B. C. v. D. 2v . 7. The graph in the figure shows how the displacement x of a particle performing SHM varies with time t. 10. A satellite performing circular motion around the earth has its total energy lost due to air x resistance in the atmosphere. When it returns to the earth, (1) its total energy decreases. (2) its potential energy decreases. (3) its temperature increases. Which of the following statements is incorrect ? A. (1) only A. The speed is maximum at time t1. B. (1) and (2) only B. The acceleration is zero at time t2. C. (2) and (3) only C. The kinetic energy of the particle has a D. (1), (2) and (3) O t1 t2 t maximum value at time t1. D. The restoring force is maximum at time t2. 11. Two charged metal plates are placed horizontally with a separation of 5 cm. A p.d. of 200 kV is connected across the plates. An 8. In the figure, a string wraps around a uniform oil drop with a charge of –1.6 10-19 C remains cylinder of radius 0.1 m. A constant force of 5 at rest between the plates. Take g = 10 m s-2, N is maintained in the string, causing the the mass of the drop is cylinder initially at rest to rotate about its A. 1.6 10-18 kg. rotational axis. B. 1.6 10-16 kg. C. 6.4 10-16 kg. D. 6.4 10-14 kg. 5N 12. Two cells of negligible internal resistance are Given that the moment of inertia of the cylinder connected with two resistors as shown in the about its axis is 0.2 kg m2, the angular speed of figure. the cylinder when the cylinder has performed P 2 6V 4 12 V one revolution is A. 1.8 rad s-1 B. 3.2 rad s -1 C. 5.6 rad s-1 D. 12.6 rad s-1 Q What is the potential difference between P and Q? 9. A wheel rolls down an inclined plane without slipping as shown in the figure. X 0V B. 4V C. 8V D. 12 V v The speed of the center of mass of the wheel is v. The instantaneous speed of point X relative F7EXM2203/CYT/P.2 A. 13. Consider a current passing through a metal wire with non-uniform cross-sectional area. The Go on to the next page cross-sectional area at X is larger than that at Y. X C. (2) and (3) only D. (1), (2) and (3) Y 17. A uniform magnetic field is confined in a cylindrical volume of radius 10 cm. A circular Which of the following statements is/are loop of radius 12 cm is placed so that its plane correct ? is perpendicular to the magnetic field. If the (1) The drift velocity of electrons at X is magnetic flux density now increases from 2 T to smaller than that at Y. 10 T in 0.1 s, what will be the magnitude of the (2) The current at X is greater than that at Y. induced e.m.f. in the loop ? (3) If cross-sectional area at X is twice that A. 1.2 V at Y, drift velocity of electron at Y is four B. 2.0 V times that at X. C. 2.5 V A. (1) only D. 4.3 V B. (1) and (2) only C. (2) and (3) only D. (1), (2) and (3) 18. The current in a coil changes steadily from 2 A to 6 A in 100 ms so that a back e.m.f. of 2 V is induced in the coil. The self-inductance of the 14. A parallel-plate capacitor of capacitance C is coil is formed by two rectangular metal plates having A. 0.02 H. separation d. Now each of the plates is cut B. 0.03 H. into two identical ones to form two capacitors, C. 0.04 H. each with plate separation 2 d. What is the D. 0.05 H. capacitance when they are connected in series ? A. C/8 19. Which of the following statements about a d.c. B. C/4 motor is incorrect ? C. C A. D. 2C The back e.m.f. developed is greater when the motor rotates faster. B. 15. An uncharged capacitor is connected in series with a switch S, a resistor of 100 k and a The current will increase if the motor is stopped suddenly. C. When the plane of the coil is parallel to battery of 6 V. When S is closed, the current is the magnetic field, no turning moment is 30 A at t = 2 s. The time constant is produced to the coil. A. 0.69 s. B. 0.92 s. C. 1.37 s. D. 2.89 s. D. An ideal motor has a back e.m.f. equal to the input voltage. 20. A 10 V battery of negligible internal resistance is connected to a d.c. motor with armature 16. Which of the following methods can increase the current sensitivity of a moving-coil resistance 2 . A current of 0.5 A flows in the coil. The maximum useful output power galvanometer ? delivered by the motor is (1) Add a shunt resistor to the galvanometer. A. 1 W. (2) Use coil with greater area. B. 4.5 W. (3) Use C. 5 W. D. 5.5 W. weaker hair-springs suspension of the coil. A. (1) only B. (1) and (2) only F7EXM2203/CYT/P.3 for the 21. An alternating voltage V is applied to an LRC series circuit, where the inductive reactance XL, Go on to the next page the capacitive reactance XC and the resistance R potentials are 1 V and –2 V. satisfy the relation XL = 3 XC = 2 R. What is the phase difference between V and the voltage VL across the inductor ? A. 36.9 B. 45.0 C. 61.5 D. 75.0 What is the current flowing through the 10 k resistor ? 22. In the circuit shown in the figure, the voltage A. 0.1 mA from X to Y across the base and the emitter is 0.5 V when the B. 0.9 mA from X to Y transistor works. C. 0.1 mA from Y to X D. 0.9 mA from Y to X The current amplification factor of the transistor is 100. 25. A stationary transverse wave is set up along a stretched rubber cord. The unstretched length of the rubber cord is 0.8 m. When its length is extended to 1.0 m, the speed of the fundamental note along the rubber cord is 17 m s-1. What will be the new speed if the cord is extended to 1.2 m ? Assume Hooke’s law holds for the What is the collector current ? cord. A. 6 mA A. 19.6 m s-1 B. 10 mA B. 21.9 m s-1 C. 15 mA C. 26.3 m s-1 D. 30 mA D. 34.0 m s-1 23. The circuit of an op-amp in the figure has an output potential of 3 V. 26. The critical angle for glass is 40. When a ray of light is incident from air to glass, the reflected ray is linearly polarized. The angle of incidence is A. 33 B. 40 C. 48 D. 57 27. Two stretched wires are tuned to vibrate What is the input potential Vi ? transversely at the same frequency of 1 000 Hz. A. -2 V When the tension in one of the string is B. -1.5 V increased by p%, beat frequency of 5 Hz are C. 1.5 V heard as both wires vibrate. p is D. 2V A. 0.5. B. 1. C. 2. D. 5. 24. The figure shows an operational amplifier circuit which uses 15 V supply. F7EXM2203/CYT/P.4 The input 28. In Young’s double-slit experiment with light of wavelength 600 nm, a thin sheet of mica of Go on to the next page refractive index 1.6 is placed in front of one of one end as shown in the figure. the slits and the centre of the fringe pattern is displaced through 4 fringe width. X The Y thickness of the mica is A. 150 nm. X and Y are two points at the middle and the top B. 1 000 nm. of the tube respectively. C. 2 400 nm. correction, the phase difference between the D. 4 000 nm. vibration of the air molecules at points X and Y Neglecting end is 29. A diffraction grating ruled with 5 000 lines per A. 0. cm is illuminated normally by white light. If B. /4. the wavelengths for red and violet light are 650 C. /2. nm and 400 nm respectively, which of the D. 3 /4. following statements is correct ? A. B. C. The violet end of the second-order 33. An astronomical telescope with the objective spectrum is closer to the central image lens and the eyepiece separated by 60 cm is than the red end of the first-order adjusted to form the final image at infinity. spectrum. The focal length of the objective lens is 50 cm. The angular displacement of the The angular magnification of the telescope is third-order violet light from the central A. 1.2. image is sin-10.6. B. 4. The second-order image of red light C. 5. coincides with the third-order image of D. 10. violet light. D. There is no fourth-order image for violet light. 34. A short-sighted person’s greatest distance of distinct vision is 1.2 m. His sight is improved by wearing spectacles which increase his 30. A radio produces a sound intensity level of 50 greatest distance of distinct vision to 20 m. dB at a point 3 m away from it. If the power The focal length of the spectacle lenses is output of the radio is doubled, what is the sound A. 0.85 m. intensity level at a point 9 m from the radio ? B. 1.13 m. A. 43.5 dB C. 1.28 m. B. 49.3 dB D. 1.80 m. C. 49.8 dB D. 50.8 dB 35. In a compound microscope at normal adjustment, which of the following statements 31. A radar source, moving with speed v towards a is/are correct ? stationary object, emits waves of frequency f (1) The first image is real and inverted. and wavelength . (2) The first image is formed at the focal The reflected waves reaching a receiver attached to the radar source will have an apparent wavelength of plane of the eyepiece. (3) The final image is real and inverted. A. - 2 v/f. A. (1) only B. - v/f. B. (1) and (2) only C. 2 . C. (2) and (3) only D. + v/f. D. (1), (2) and (3) 32. A stationary sound wave vibrating in its 36. Two steel wires, X and Y, are suspended fundamental mode is set up in a tube closed at vertically and an equal force is applied to the F7EXM2203/CYT/P.5 Go on to the next page lower end of each wire. The extension of X is of their absolute temperature and the ratio of the twice that of Y. Which of the following may r.m.s. speed of the molecules are 1 : 2 and 1 : 3 account for this difference ? respectively, the ratio of their molecular mass is (1) The diameter of X is half that of Y, but A. 2 : 9. their lengths are equal. B. 4 : 9. X is twice as long as Y, but their C. 9 : 4. diameters are equal. D. 9 : 2. (2) (3) Y is twice as long as X, and its diameter is twice that of X. 40. The figure displays the trace shown on a CRO A. (1) only when two sinusoidal signals of the same B. (1) and (2) only frequency is applied to the X and Y-plates C. (2) and (3) only respectively. D. (1), (2) and (3) 37. In the figure, a non-viscous and incompressible liquid of density 1 200 kg m-3 flows along a The phase difference between the signals is horizontal tube with two sections X and Y of A. 0 cross-sectional area 3 10 m and 2 10 m B. 45 respectively. C. 90 D. 180 -5 2 -5 2 h 41. In an X-ray tube, an accelerating potential V produces X-rays of minimum wavelength 0.6 X Y 10-10 m. In order to produce X-rays of minimum wavelength 2.4 10-10 m, the The velocity of the liquid flowing through X is accelerating potential should be -1 0.8 m s . What is the height h ? A. V/4. A. 1 cm B. V/2. B. 2 cm C. 2 V. C. 4 cm D. 4 V. D. 6 cm 42. The graph in the figure shows how the count 38. Two identical vessels containing an ideal gas, are connected by an open tube of negligible volume. Initially both vessels are rate A of a radioactive source as measured by a GM counter varies with time t. ln A at temperature T and pressure P. One vessel is 3 maintained at T, while the temperature of the other vessel is raised to 2 T. The new pressure becomes A. 2 P/3. B. P. The half-life of the source is C. 4 P/3. A. 15.5 s. D. 3 P/2. B. 25.8 s. C. 46.2 s. D. 98.0 s. 0 200 t/s 39. Two different ideal gases, X and Y, are 43. A radioactive source has a half-life of 72 s. contained in two identical vessels. If the ratio What would be the activity of the source when it F7EXM2203/CYT/P.6 Go on to the next page contains 2 105 unstable nuclei ? and Y of different masses are produced. -1 A. 1023 s B. 1925 s-1 correct ? C. 2785 s-1 (1) D. -1 5786 s Which of the following statements is/are The mass of Z is greater than the total mass of X and Y. (2) 44. In a gold foil scattering experiment, a proton and an particle, having the same kinetic The momentum of X equals to the momentum of Y in magnitude. (3) energy, collide head-on with gold nuclei. The The kinetic energy of X is equal to the kinetic energy of Y. ratio of the distance of the closest approach of A. (1) only the proton to that of the particle is B. (1) and (2) only A. 1 : 2. C. (2) and (3) only B. 1 : 1. D. (1), (2) and (3) C. 2 : 1. D. 4 : 1. 45. A stationary nucleus Z decays and two nuclei X - END OF SECTION A - F7EXM2203/CYT/P.7 Go on to the next page SECTION B. ESSAY-TYPE QUESTIONS (20%, 48 marks) Answer any THREE questions from this section. Write your answers in the ANSWER BOOK provided. You should spend 1 hour and 15 minutes on this section. 1. (a) Describe FOUR contrasting features of progressive waves and stationary waves, and state the conditions necessary for a stationary wave. (b) (6 marks) You play a violin in a room. Explain how you can hear the sound in terms of the progressive waves and stationary waves produced. (c) (3 marks) A police car and a van are moving with the same speed u towards each other. The siren in the police car emits sound waves of frequency 1 000 Hz and the velocity of the sound in air is 340 m s -1. With the aid of a diagram, derive the expressions for the wavelength ’, and the frequency f’ of the sound waves heard by the driver of the van. (d) (4 marks) Briefly describe how the principle of beats would be used to detect the speed of cars in a police radar speed check system installed in a police car. (No mathematical derivation is required) 2. (a) Explain qualitatively the cause and apparent result of Doppler effect. Give one daily example of Doppler effect. (b) (3 marks) (2 marks) A source is emitting sound wave of frequency fs. Assume Sound wave travels with a velocity of c in air. Deduce the expression for the Doppler effect (i.e. apparent frequency) for the following cases, (i) An observer moves towards a stationary source with a velocity of vo. (ii) A source is moving towards a stationary observer with a velocity of vs. (c) (4 marks) Using results in (b) or otherwise, explain how the speed of an approaching aircraft may be measured by using microwave radiated from a stationary station on the ground. Derive an expression relating the speed of the aircraft to the change in frequency between the emitted signal and that received signal at the station. (d) (4 marks) With the aid of a diagram, describe an experiment to find the speed of sound in air by using Kundt’s tube together with a loudspeaker. State any precautions which should be taken in the experiment and explain what would be observed. F7EXM2203/CYT/P.8 (6 marks) Go on to the next page 3. (a) Two large parallel plates which are held vertical with a small separation between them are connected to a d.c. voltage supply. A thin uncharged foil is mounted on an insulating handle and is lowered into the region between the two plates. Describe what would happen if (i) the foil is brought to various places between the two plates without touching the plates. Explain. (ii) the foil is allowed to touch the positive plates first and is brought to various places between the two plates. (iii) the two plates are brought closer with everything else left intact after the foil has touched the positive plates and placed at the middle between the two plates. (b) (i) (4 marks) Discuss the factors which limit the amount of charge that can be deposited onto a capacitor. Explain the term “spooning charge” and comment on the shape of any conductor used for spooning charge. (4 marks) (ii) Given a high resistance voltmeter, an ammeter, a rheostat, a switch, a d.c. voltage supply and a stop watch, describe with an aid of a circuit diagram how an unknown capacitance C of a capacitor can be measured by charging it with constant current. (5 marks) (iii) Show that the energy stored in a capacitor is given by ½CV2. 4. (a) (i) (3 marks) A simple a.c. amplifier can be constructed from a NPN transistor in common-emitter configuration. Draw a circuit diagram to show how you would construct this amplifier. You should include in your diagram a d.c. bias circuit, a base resistor Rb, a load resistor RL and blocking capacitors. State typical values for the components used. (ii) What are the functions of the blocking capacitors ? (iii) Derive from first principles the voltage gain of this amplifier to be G = RL . Rb State assumption(s) in your derivation. (iv) Draw the Input-Output Voltage Characteristic of the amplifier and discuss the physical significance of the shape. Also, show how an a.c. source can be amplified without distortion. (12 marks) (b) Compare and contrast the differences in characteristics between a NPN transistor amplifier and a non-inverting operational amplifier. (c) (2 marks) A student argues that the use of amplifiers to increase the magnitude of small a.c. signal is actually not necessary. Since a step-up transformer with the number of secondary coil greater than that of the primary coil can step up voltage easily, in most cases amplifiers can be substituted by step-up transformers with appropriate turn ratio. Do you agree with his argument ? Explain your reasoning. (2 marks) F7EXM2203/CYT/P.9 Go on to the next page 5. (a) (i) Describe and explain how to obtain a stream of fast-moving electrons. Briefly describe one method of detecting or tracking the path of an electron beam. (3 marks) (ii) Describe an experiment which can be used to measure the specific charge of the electron (e / m ratio) and explain how the result is obtained from the observation. (b) (c) (5 marks) State the physical meanings of the following equations with an aid of diagrams: (1) Einstein’s Photoelectric equation : hf = 1/2 m vmax2 + (2) Bernoulli’s equation : P + 1/2 v2 + g h = constant (5 marks) Discuss the structure of atom according to Rutherford Scattering Experiment and Franck-Hertz Experiment. (3 marks) - END OF PAPER - SETTER CODE: 06 F7EXM2203/CYT/P.10 Go on to the next page Useful Formulae in Advanced Level Physics v2 ω 2 r r A1. a A2. a ω 2 x simple harmonic motion A3. L I angular momentum of a rigid body A4. T A5. 1 E I2 2 B1. v T m velocity of transverse wave motion in a stretched string B2. v E velocity of longitudinal wave motion in a solid B3. n tan P B4. d B5. d sin n B6. f f( B7. 10 log 10 ( C1. F C2. V C3. r 3 / T 2 constant C4. E Q 40 r 2 electric field due to a point charge C5. V Q 40 r electric potential due to a point charge C6. E C7. C C8. Q Q 0 e t / RC centripetal acceleration dL dt torque on a rotating body energy stored in a rotating body refractive index and polarising angle D a fringe width in double slit interference diffraction grating equation v uo ) v u s Doppler frequency I2 ) I1 definition of the decibel Gm1m2 r2 Newton’s law of gravitation GM r gravitational potential V d Kepler’s third law electric field between parallel plates (numerically) Q 0 A V d capacitance of a parallel plate capacitor t / RC decay of charge with time when a capacitor discharges C9. Q Q 0 (1 e C10. 1 E CV 2 2 energy stored in a capacitor C11. I nAvQ general current flow equation C12. R C13. F BQv sin force on a moving charge in a magnetic field C14. F BIl sin force on a moving conductor in a magnetic field C15. V BI nQt Hall voltage C16. B 0 I 2r magnetic field due to long straight wire l A F7EXM2203/CYT/P.11 ) rise of charge with time when a capacitor is charged resistance and resistivity Go on to the next page C17. B 0 NI l magnetic field inside long solenoid C18. F 0 I1 I 2 2r force per unit length between long parallel straight current carrying conductors C19. T BANI sin torque on rectangular current carrying coil in uniform magnetic field C20. E BAN sin t simple generator e.m.f. C21. VS N S VP N P ratio of secondary voltage to primary voltage in a transformer C22. E LdI / dt e.m.f. induced in an inductor C23. 1 E L I 2 2 energy stored in an inductor C24. X L L reactance of an inductor C25. XC 1 C reactance of a capacitor C26. P IV cos C27. Vout / Vin power in an a.c. circuit RL RB voltage gain of transistor amplifier in the common emitter configuration C28. V0 A0 (V V ) C29. A C30. A1 D1. pV nRT NkT equation of state for an ideal gas D2. 1 pV Nmc 2 3 kinetic theory equation D3. Ek D4. E D5. 1 E Fx 2 D6. F D7. E k/r microscopic interpretation of Young modulus D8. 1 p v 2 gh constant 2 Bernoulli’s equation D9. Q U W first law of thermodynamics D10. En D11. N N 0 e kt D12. t1 2 Rf gain of inverting amplifier Ri Rf Ri 3RT 3 kT 2N A 2 F A output voltage of op amp (open-loop) x L dU dr 13.6 eV n2 ln 2 k gain of non-inverting amplifier molecular kinetic energy macroscopic definition of Young modulus energy stored in stretching relationship between force and potential energy energy level equation for hydrogen atom law of radioactive decay half-life and decay constant D13. 1 2 mv m hv 2 Einstein’s photoelectric equation D14. E mc 2 mass-energy relationship F7EXM2203/CYT/P.12 Go on to the next page MOCK EXAMINATION F.7 A-LEVEL PHYSICS PAPER II MARKING SCHEME SECTION A. MULTIPLE CHOICE QUESTIONS (30%) No. 1 2 3 4 5 6 7 8 9 10 Answer D D C B C D B C A D No. 11 12 13 14 15 16 17 18 19 20 Answer D A A A D C C D C B No. 21 22 23 24 25 26 27 28 29 30 Answer A C D A B D B D B A No. 31 32 33 34 35 36 37 38 39 40 D C C D C Answer A A C C A No. 41 42 43 44 45 Answer A C B A B SECTION B. ESSAY-TYPE QUESTIONS (20%, 48 marks) F7EXM2203/CYT/P.13 Go on to the next page F7EXM2203/CYT/P.14 Go on to the next page F7EXM2203/CYT/P.15 Go on to the next page 6V RL (~ 15 k) C2 (~ 10 F) RB (~ 2 k) C1 (~ 10 F) ~ input voltage output voltage 0V F7EXM2203/CYT/P.16 Go on to the next page F7EXM2203/CYT/P.17 Go on to the next page F7EXM2203/CYT/P.18 Go on to the next page