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07 AL Physics/M.C./P.1 2007 Hong Kong Advanced Level Examination AL Physics Multiple Choice Questions 1. 3. P Q W The figure shows a weight W supported by two light rigid rods P and Q. The rods are smoothly hinged to the wall and mounted in the same vertical plane. Which of the following descriptions about the rods is correct? A. B. C. D. rod P in compression in compression in tension in tension rod Q in tension in compression in tension in compression An object is projected vertically upwards from the ground. If air resistance is taken into account, which of the following graphs best shows the variation of the velocity v of the object with time t, starting from the moment when the object leaves the ground (t = 0) up to the time when it returns to the ground (t = T)? A. B. 2. constant velocity m C. M A wedge of mass M is fixed to the ground. A block of mass m slides down the wedge with constant velocity as shown. What is the normal reaction exerted by the ground on the wedge? A. B. C. D. (M + m)g Mg + mg cos Mg + mg cos2 Mg + mg cos sin D. 07 AL Physics/M.C./P.2 4. An aircraft flies with a constant speed in a horizontal circle of radius 10 km. If its wings slant at an angle of 21.8 to the horizontal, find the speed of the aircraft. 7. Which of the following statements about simple harmonic motion in one dimension is/are INCORRECT? (1) The amplitude of oscillation must be small. (2) The acceleration is always directed towards a fixed point. (3) The frequency of oscillation is independent of the amplitude. A. B. C. D. 5. 280 ms-1 200 ms-1 140 ms-1 100 ms-1 A. B. C. D. In which of the following situations does the person concerned experience ‘weightlessness’? 8. (1) an astronaut in a spacecraft which is coasting in outer space with its rocket engines shut off (2) an astronaut in a spacecraft which is decelerating to make a soft landing on the moon (3) a parachutist descending with a constant velocity in the air (1) only (3) only (1) and (2) only (2) and (3) only O X Q A particle performs simple harmonic motion along a straight line between P and Q as shown. The particle passes the equilibrium position O and travels to the right at time t = 0. It passes point X the first time after 3 s and it passes X the second time after a further 2 s. After what further time will the particle pass X the third time? A. B. C. D. 16 s 14 s 12 s 10 s ultra-violet radiation 10-8 m 10-8 m 10-10 m 10-10 m microwaves 10-2 m 10-5 m 10-2 m 10-5 m A diver at a depth of x below the water surface looks up and finds that the sky appears to be within a circle of radius r. The critical angle of water in this case is given by A. B. C. D. 6. P Which of the following best gives the orders of magnitude of the wavelengths of ultraviolet radiation and microwaves in air? A. B. C. D. 9. A. B. C. D. (1) only (2) only (1) and (3) only (2) and (3) only tan-1 (r/x). sin-1 (r/x). tan-1 (x/r). sin-1 (x/r). 10. A beam of monochromatic light falls at normal incidence on a diffraction grating. Third-order diffracted beams are found at angles of 45 to the incident direction. What 07 AL Physics/M.C./P.3 is the highest order of diffracted beam that can be observed? A. B. C. D. (3) The mass of P is greater than that of Q. A. B. C. D. 3rd order 4th order 5 th order 6 th order (1) only (3) only (1) and (2) only (2) and (3) only 14. 11. In a Young’s double-slit experiment using monochromatic light of wavelength 550 nm, the fringes are observed through the eyepiece of a travelling microscope at a distance of 1.0 m from the double slits. If .the separation between the first and the fifth dark fringes is 5.0 mm, find the slit separation. A. B. C. D. X 72 0.3 10-4 m 1.1 10-4 m 4.4 10-4 m 5.5 10-4 m +Q 0.5 1.0 2.0 infinite A. B. C. D. 13. The figure shows two small charged spheres P and Q suspended by identical nylon threads from a fixed point O. At equilibrium, the threads OP and OQ make angles and ( < ) with the vertical. O 40 The above figure gives the electric field strength (in arbitrary units) at various points near an isolated point charge +Q. Which of the following correctly gives the electric field strength (in the same arbitrary units) at X and at Y? 12. An object is placed at the focus of a concave lens of focal length 10 cm. What is the magnification of the image formed? A. B. C. D. 360 Y electric field strength at X 72 72 90 90 electric field strength at Y 30 36 30 36 15. Q P Which of the following conclusions must be correct? (1) Both P and Q carry positive charges. (2) The charge on P is greater than that on Q in magnitude. In the above figure, XYZ is a small rightangled triangular metal frame moving with a constant velocity across a rectangular region PQRS with a uniform magnetic field pointing into the paper. Which of the following graphs best shows the variation of the current I induced in the frame with time t? 07 AL Physics/M.C./P.4 A. I 0 t B. I 0 t C. I 0 t D. I 0 t 16. The above figure shows the V-I characteristic curves of resistance wire X and filament bulb Y. If they are connected in series with a 12 V d.c. supply of negligible internal resistance, estimate the voltage across the bulb Y. 07 AL Physics/M.C./P.5 A. 3V B. 4V C. 5V D. 6V 19. horizontal 20 17. 8.0 A 3V earth magnetic field C R A segment of a vertical wire 0.50 m long carrying a current of 8.0 A is placed in the earth magnetic field. The direction of the field dips at an angle of 20 to the horizontal. If the resulting magnetic force on the wire is 7.5 10-5 N, fmd the flux density of the earth magnetic field. 6V Which of the following is/are correct for the above circuit at steady state? (1) The current in the circuit is zero. (2) The voltage across C is independent of its capacitance. (3) The voltage across C is independent of the resistance of R. A. B. C. D. (1) and (2) only (1) and (3) only (2) and (3) only (1), (2) and (3) P R 2I C. D. 2I (1) charges (2) masses (3) incident velocities A. B. C. D. S Four long straight current-carrying wires perpendicular to the plane of the paper are arranged at the comers of a square PQRS as shown. The same current I flowing in the same direction along the wires at P, Q and S while the current flowing along the wire at R is in the opposite direction. If the wire at P experiences no net force, find the current flowing in the wire at R. A. I / 2 B. I/2 6.4 10-6 T 1.8 10-5 T 2.0 10-5 T 5.5 10-5 T 20. A beam of charged particles passes through crossed uniform electric and magnetic fields without deflection. If the electric field is removed, the beam will split up into several beams. This splitting may be due to the particles having different 18. Q A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only 21. In the above figure, a solenoid P and a metal ring Q are arranged coaxially and close to each other. A sinusoidal a.c. varying with time t as shown in the graph is supplied to solenoid P. Which of the following descriptions is INCORRECT? 07 AL Physics/M.C./P.6 A. From 0 to t1, the current in Q is in opposite sense to that in P. B. From tl to t2, Q is attracted towards P. C. The force on Q is at a maximum at time tl. D. The force on Q is zero at time t2. A. B. C. D. 6 days 9 days 12 days 18 days 25. 22. A rectangular coil of 50 turns is being rotated at 300 revolutions per minute in a uniform magnetic field. The field is perpendicular to the coil’s central axis in the plane of the coil. If the maximum flux linking each turn of the coil is 5.1 10-3 Wb, the maximum e.m.f. induced in the coil is A. B. C. D. 0.2 V 1.3 V 4.0 V 8.0 V 23. An electric motor driven by a constant voltage d.c. supply is used to raise a load. If the load is increased, how will each of the following change correspondingly? (1) speed of rotation of the armature coil (2) current in the armature coil (3) back e.m.f. in the armature coil A. B. C. D. (1) decrease unchanged decrease decrease (2) unchanged increase increase increase (3) increase unchanged unchanged decrease 24. A radioactive source consists of 64 1012 atoms of nuclide P of half-life 2 days. Another source consists of 8 1012 atoms of nuclide Q of half-life 3 days. After how long will the number of active nuclei in the two sources be equal? (Assume that the daughter nuclides of both P and Q are stable.) A student used a simple pendulum to measure the acceleration due to gravity g. He measured the time (t) for 20 oscillations using various length L of the pendulum. A plot of t2 against L deviates from the ‘theoretical’ graph (the dashed line). Which of the following could be a reason? (1) He used a stop watch which runs consistently too fast. (2) He neglected the radius of the pendulum bob when measuring L. (3) He miscounted the number of oscillations such that the time for only 19 oscillations was taken to be t. A. B. C. D. (1) only (2) only (2) and (3) only (1), (2) and (3) 26. Two children P and Q are travelling on kateboards with frictionless rollers towards each other as shown. Both are moving at a speed of 1.2 ms-1. The mass of each child together with a skateboard is 30 kg. Initially P holds a ball of mass 1.0 kg, he then throws the ball straight towards Q at a horizontal velocity of 15 ms-1. After child Q catches and keeps the ball, what is his velocity? (All velocities are relative to the ground.) 07 AL Physics/M.C./P.7 A. B. C. D. 0.74 ms-1 to the right 0.74 ms-1 to the left 0.68 ms-1 to the right 0.68 ms-1 to the left (3) The frequency of oscillation is the same at all vibrating points of the rope. A. B. C. D. 27. (1) only (3) only (1) and (2) only (2) and (3) only v 30. earth Suppose a space craft is launched with an initial speed v and it eventually enters a circular orbit near the earth’s surface. If the launching speed was increased to 2v, the spacecraft would (Neglect air resistance.) A. revolve uniformly in a circular orbit around the earth with a longer period. B. revolve uniformly in a circular orbit around the earth with a shorter period. C. revolve in an elliptical orbit around the earth with a longer period. D. leave the earth and travel to outer space. A beam of unpolarized light of intensity I passes normally through two polaroids P and Q aligned parallel to each other. The polarizing axis of each polaroid is represented by an arrow. The polarizing axis of P is vertical while that of Q makes 60 with the vertical. What is the intensity of the transmitted beam detected by the observer, assuming that the only absorption mechanism is due to polarization? A. 28. It is known that a geostationary communication satellite is at a height of 5.6R above the earth’s surface where R is the radius of the earth. Which of the following is the best estimate for the separation between the moon and the earth? B. C. D. A. B. C. D. 50 R 60 R 150 R 180 R 29. A uniform heavy rope hangs freely from a support. The support is made to oscillate horizontally with a small amplitude so as to send transverse waves down the rope. A standing wave is set up as these waves are reflected at the free end. Which of the following statements is/are correct? (1) The tension is the same throughout the rope. (2) The wavelength is the same throughout the rope. I 8 I 4 3I 8 I 2 31. Which of the following statements about the decibel (dB) are correct? (1) A ten-fold increase in sound intensity is equivalent to an increase of 10 dB in sound intensity level. (2) The sound intensity level in a noisy restaurant is about 40 dB. (3) The threshold of pain is about 120 dB in sound intensity level. A. B. C. D. (1) and (2) only . (1) and (3) only (2) and (3) only (1), (2) and (3) 07 AL Physics/M.C./P.8 (3) When R = 4 , the power consumed in S is at a maximum. 32. Two pipes of lengths 42.6 cm and 41.5 cm respectively, each closed at one end, give beats of frequency 5 Hz when sounding their fundamental notes together. Neglecting end corrections, find the speed of sound in air. A. B. C. D. 331 ms-1 326 ms-1 321 ms-1 316 ms-1 A. B. C. D. (1) only (2) only (1) and (3) only (2) and (3) only 35. 33. P Q The above figure shows the trajectory of a positively charged particle travelling along a curve from P to Q in an electric field. The particle is subject to electrostatic forces only. Which of the following deductions must be correct? In the above circuit, a capacitor C is charged by a 6 V battery of negligible internal resistance. When switch S is opened, the ammeter reading drops from an initial value of 80 A to 20 A in 28 s. Estimate the capacitance of C. (1) The curve is one of the field lines in the field. (2) P is at a higher electric potential than Q. (3) The sum of kinetic energy and electrical potential energy of the particle at P is equal to that at Q. A. B. C. D. (2) only (3) only (1) and (2) only (1) and (3) only A. B. C. D. 140 F 190 F 270 F 540 F 36. 34. In the above circuit, the cell has constant e.m.f. and internal resistance 2.0 . R is a variable resistor while S is a standard resistor of resistance 6.0 . Which of the following conclusions must be correct? (1) When R = 0, the power output of the cell is at a maximum. (2) When R = 2 , the power consumed in R is at a maximum. The figure shows a semiconductor specimen containing negative charge carriers. It has a constant current flowing to the right and is perpendicular to a uniform magnetic field pointing out of the paper. Which of the following is/are correct for the Hall voltage developed between the upper and the lower faces of the specimen? 07 AL Physics/M.C./P.9 (1) The Hall voltage will be reversed if the specimen is replaced by another semiconductor containing positive charge carriers. (2) The Hall voltage will become larger if the specimen is replace by a metallic specimen of the same dimensions and carries the same current. (3) The Hall voltage will become smaller if the separation t between the upper and lower faces is reduced while the current is kept unchanged. A. B. C. D. A. B. C. D 39. (1) only (3) only (1) and (2) only (2) and (3) only The above figure shows an LC circuit in which P, Q are the input terminals and R, S are the output terminals. Which of the following can be a possible function of this circuit? 37. When the sinusoidal a.c. shown in Figure (1) is applied to a resistor R, it produces heat at a mean rate P. What is the mean rate of heat production when a square wave a.c. of the same frequency and amplitude shown in Figure (2) is applied to the same resistor R? 2P A. B. 2P (1) only (3) only (1) and (2) only (2) and (3) only A. It blocks the steady d.c. component and gives low frequency a.c. output. B. It blocks the steady d.c. component and gives high frequency a.c. output. C. It blocks the low frequency a.c. component and gives high frequency a.c. output. D. It blocks the high frequency a.c. component and gives nearly steady d.c. output. 40. Energy E4 E3 E2 C. 2 2 P D. 4P E1 38. An inductor has an inductance of 1 H. Which of the following deductions must be correct? (1) It has a flux linkage of 1 Wb when a current of 1 A flowing through it. (2) It stores 1 J of energy when it has a flux linkage of 1 Wb. (3) It loses all its magnetic flux in 1 s when it is connected to a resistor of resistance 1 . The above figure, drawn to scale, represents the energy levels for an electron in a certain atom. The transition from E3 to E1 gives a green line (in the spectrum). Which of the following transitions may give a red line? A. B. C. D. E4 to E1 E4 to E2 E3 to E2 E2 to E1 07 AL Physics/M.C./P.10 41. The work function W of five metals are tabulated below. Metal W/10-19 J Caesium 3.4 Calcium 4.6 Barium 4.0 Magnesium 5.9 Beryllium 8.0 If monochromatic light of wavelength 400 nm is incident on each of the metals, how many of them would exhibit photoelectric effect? (Given: Planck constant = 6.6 10-34 J s) A. B. C. D. 43. Four uniform wires A, B, C and D are loaded with different weights W and the resulting extensions x are given below. Which wire stores the greatest amount of elastic potential energy? (Assume that the wires obey Hooke’s law.) 1 2 3 4 A. B. C. D. x 7 mm 6 mm 5 mm 3 mm 44. Which of the following thermodynamic processes on a fixed mass of an ideal gas is IMPOSSIBLE? A. It absorbs heat and expands while its internal energy increases. B. It absorbs heat and expands while its internal energy decreases. C. It liberates heat and is compressed while its internal energy increases. D. It absorbs heat and is compressed while its internal energy decreases. 42. F 0 W 10 N 15 N 20 N 25 N e A wire of known cross-sectional area is stretched by a steadily increasing force and the force is then slowly reduced. A graph of the stretching force F is plotted against the extension e. Which of the following can be found using information from the graph? 45. Which of the following statements about adecay is/are correct? (1) Some heavy nuclei tend to increase their neutron-proton ratio (N/Z) through decay. (2) -decay shows that -particle is stable. (3) The mass of a radioactive nucleus is less than the sum of the masses of the daughter nucleus and the -particle. (1) the elastic limit of the wire (2) the force constant of the wire (3) the breaking stress for the wire A. B. C. D. A. (2) only B. (1) and (2) only C. (1) and (3) only D. (2) and (3) only END OF PAPER (1) only (3) only (1) and (2) only (2) and (3) only 07 AL Physics/M.C./P.11 Question No. Key Question No. Key 1. 2. 3. 4. 5. (53) (54) (60) (75) (51) 26. 27. 28. 29. 30. (51) (58) (67) (54) (40) 6. 7. 8. 9. 10. (52) (38) (35) (79) (42) 31. 32. 33. 34. 35. (62) (69) (77) (38) (23) 11. 12. 13. 14. 15. (53) (77) (51) (55) (19) 36. 37. 38. 39. 40. (29) (78) (46) (47) (35) 16. 17. 18. 19. 20. (39) (41) (82) (56) (52) 41. 42. 43. 44. 45. (48) (30) (56) (67) (54) 21. 22. 23. 24. 25. (25) (81) (42) (63) (66)