00 AL Physics/M.C./P.1 2000 Hong Kong Advanced Level Examination AL Physics Multiple Choice Questions 1. F A B 3. R Two books A and B are placed on a horizontal table surface as shown. A horizontal force F is applied to A but the system remains stationary. Which of the following statements is/are correct? Q W A light rigid rod PQ is hinged smoothly to the wall at one end while the other end is connected by an inextensible string to a point R directly above P. A weight W is suspended from a point on the rod. If the rod remains horizontal, which of the following change(s) would increase the tension in the string? (1) The frictional force acting on B by the table surface is greater than F. (2) The frictional force acting on A by B is towards the left. (3) The system would remain stationary if F is applied to B instead. A. B. C. D. E. 2. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) (1) Shifting the weight towards Q (2) Replacing the string with a shorter one and connecting it to the midpoints of PQ and PR (3) Replacing the string with a longer one and connecting it to a point higher than R In which of the following situations is the magnitude of the normal reaction of the supporting surface always equal to the weight of the body? (1) A ball bouncing vertically on a horizontal ground is in contact with the ground. (2) An astronaut in a spacecraft which performs circular motion around the earth. (3) A boy standing in a lift which is moving vertically upward with a uniform velocity. A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) P A. B. C. D. E. 4. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) A student holds one end of a string to which a block of mass 8 kg is tied at the other end. He raises the block with an acceleration by pulling the string in an upward direction. If the maximum tension that the string can withstand is 120 N, find the maximum acceleration of the block before the string breaks. A. B. C. D. E. 5.0 ms-2 7.5 ms-2 10.0 ms-2 12.5 ms-2 15.0 ms-2 00 AL Physics/M.C./P.2 5. A trolley of mass 0.5 kg moves with a certain acceleration down a runway which is inclined to the horizontal at 15. If the angle of inclination is increased to 20, the acceleration of the trolley would be doubled. Find the average frictional force, assuming the same in both cases, acting on the trolley. A. B. C. D. E. 0.72 N 0.80 N 0.88 N 0.96 N 1.04 N (3) The gravitational potential energy lost by the ball is equal to the strain energy stored in the spring. A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 8. N r 6. Two objects A and B of masses m and 2m respectively are initially at rest on a smooth, horizontal surface. If each of them is acted upon by the same force for the same period of time, the ratio of the gain in kinetic energy of A to that of B is A. B. C. D. E. mg A car of mass m is moving with speed v on a banked road along a circular path of horizontal radius r. The angle of inclination of the road is . If the centripetal force arises entirely form a component of the normal reaction N from the road, which of the following relations is correct? 2:1 1:2 1:1 1:4 4:1 A. N cos = mg B. N = mg cos gr C. v2 = sin gr D. v2 = tan 7. h E. 9. A light spring is fixed to the bottom of a vertical tube. A ball is released from rest at a height h above the upper end of the spring as shown. After rebounding several times the ball eventually comes to rest and stays on top of the spring. Assume all contact surfaces are smooth and the spring obeys Hooke’s law throughout. Which of the following statements is/are correct? (1) The compression of the spring is proportional to the mass of the ball. (2) The compression of the spring is independent of the height h. N mv 2 = tan r X and Y are two planets. Each of them has a low-altitude satellite revolving in a circular orbit close to the planet. If the two satellites are observed to have the same period, then X and Y must have nearly the same A. B. C. D. mass. average density. radius. acceleration due to gravity at the planet’s surface. E. gravitational potential at the planet’s surface. 00 AL Physics/M.C./P.3 10. A small block of mass 0.1 kg is suspended from the ceiling by a light spring of force constant 12 Nm-1. If the block is projected vertically downwards with a speed of 0.5 ms-1 from its equilibrium position, what is the maximum acceleration of the block in its subsequent motion? A. B. C. D. E. Which of the following is a possible reason for this? A. The effect due to air resistance is not negligible. B. The stop watch used for the experiment runs too slowly. C. The length of the string has been taken as the effective length of the pendulum. D. The experiment has been performed at a place above sea-level. E. The experiment has been performed at a place below sea-level. 5.0 ms-2 5.5 ms-2 6.0 ms-2 6.5 ms-2 7.0 ms-2 11. 13. glass tube L A rubber bung W A student performing a centripetal force experiment whirls a rubber bung attached to one end of a string which passes through a glass tube with smooth openings, and has weight W hanging at its other end. The weight of the rubber bung is much smaller that W. The rubber bung is set into a horizontal uniform circular motion with angular speed while the length off the string beyond the upper opening of the glass tube is L and this portion of the string makes an angle with the vertical as shown. Which of the following statements is/are correct? (1) If L is kept constant, will decrease with . (2) If is kept constant, L will increase with . (3) When W increases, will increase. A. B. C. D. E. (1) only (2) only (3) only (1) and (2) only (2) and (3) only 12. A student used a simple pendulum to measure acceleration due to gravity at the earth’s surface. The experimental value was found higher than the standard value. On a smooth horizontal surface, a block connected to the wall with a light spring performs simple harmonic motion of amplitude A as shown. If the amplitude is reduced to A/2, which of the following quantities would be halved? (1) the maximum velocity of the block (2) the maximum elastic potential energy stored in the spring (3) the period of oscillation of the block A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 14. With his arms and legs outstretched, a diver leaves a high-diving board with some initial angular velocity. Before he enters the water, which of the following statements is INCORRECT? (Neglect air resistance.) A. His angular momentum about the centre of gravity remains constant. B. No external force acts on him. C. His loss in potential energy becomes his kinetic energy. D. He can decrease his moment of inertia by pulling his arms and legs to his chest. 00 AL Physics/M.C./P.4 E. He can make more turns before reaching the water surface by coiling up his body. C. becomes partly elastic potential and partly kinetic in the string. D. converts into internal energy and is dissipated as heat energy in the string. E. becomes momentarily zero. 15. 17. paper cone pendulums (loaded with metal rings) string A Displacement of air particles + _ heavy bob B C (1) P is a centre of compression. (2) The air particle at P has the greatest kinetic energy. (3) The air particle at P is moving towards right. (1) B has the largest amplitude among the three paper cone pendulums. (2) All the paper cone pendulums are oscillating with the same frequency. (3) A and C are approximately in antiphase. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) position The above figure shows an instantaneous wave profile representing a sound wave travelling to the right in air. Which of the following about the part of the wave at P at this instant is/are correct? (Take the displacement towards right as positive.) The figure shows a variation of Barton’s pendulum. A, B and C are three paper cone pendulums of different lengths suspended from the string. The heavy bob is pulled well aside and released so that it oscillates on a plane perpendicular to the paper. The paper cone pendulums are forced into oscillations. When the motion settles down after a short time, which of the following statements is/are correct? A. B. C. D. E. P A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 18. 16. Two transverse pulses travel towards each other along a stretched string as shown. They are identical and symmetric in shape but one is inverted. At the moment the pulses pass each other the string becomes straight. At this moment the wave energy A. becomes wholly elastic potential in the string. B. becomes wholly kinetic due to transverse motion of the string. 1 cm A dot vibrator is moving across the surface of water in a ripple tank with a steady speed as shown. The figure represents the water surface showing the pattern of the water waves against a background of centimetre squares. The speed of the water waves is 20 cms-1. What is the speed of the dot vibrator? 00 AL Physics/M.C./P.5 A. B. C. D. E. 10 cms-1 8 cms-1 5 cms-1 4 cms-1 2 cms-1 (1) The lens L must be a concave lens. (2) The point object must lie along the line OS. (3) The image of the point object must be virtual. A. B. C. D. E. 19. air (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) glass 21. thin film +Q A glass lens is made non-reflecting for yellow light by coating it with a thin film of transparent material of a refractive index less than that of glass. Which of the following statements is/are correct? d +2q d In the above arrangement, two small test charges +q and +2q are brought from infinity to the positions shown. The two charges are collinear with another charge +Q and their mutual separation is d. Which of the following statements is/are correct? (1) The surface of the glass lens appears yellow in white light. (2) The minimum thickness of the film is ¼ of the wavelength of yellow light in the film. (3) As a result of the destructive interference between the light rays reflected from the two interfaces, energy which would have been wasted as reflected light increases the amount of transmitted light. A. B. C. D. E. +q (1) Charge +q is at a higher potential than charge +2q. (2) The work done in bringing the charges +q and +2q from infinity to their respective positions is the same. (3) The potential energy of the system would increase if d decreases. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 20. 22. L P X Q O Y S In the above figure, XY is the principal axis of a lens L. PQ and OS are two refracted rays from L which originate from a point object placed on the left side of L. Which of the following deductions is/are correct? P Q R The figure shows a pattern of electric field lines in which P, Q and R are points marked on one of the field lines with PQ = QR. If the potential at P is 0 V, which of the following can give the possible potentials at Q and at R? 00 AL Physics/M.C./P.6 A. B. C. D. E. Potential at Q -200 V -200 V -200 V +200 V +200 V A. B. C. D. E. Potential at R -450 V -400 V -350 V +350 V +450 V (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 25. S 23. R 0.2 A 5 O 3 0.3 A 1 R The figure shows some of the resistors in a network of resistors. The magnitudes and directions of some of the currents are marked as shown. Find the magnitude and direction of the current passing through the resistor R. A. B. C. D. E. 0.2 A from right to left 0.2 A from left to right 0.4 A from right to left 0.4 A from left to right It cannot be determined as the value of R is not given. 24. internal resistance 4 P Q Four parallel long straight conductors carrying currents of equal magnitude pass vertically through the four corners of a square PQRS. The current is directed into paper in one conductor and is directed out of paper in the other three conductors. Which of the following arrangement can produce a resultant magnetic induction at the centre O of the square in the direction shown? Current into paper Current out of paper A. P Q, R, S B. Q P, R, S C. R P, Q, S D. S P, Q, R E. It is impossible to produce a resultant magnetic induction at O in the direction shown. R In the above circuit, the internal resistance of the battery is 4 . R is a variable resistor. Which of the following statements about the circuit is/are correct? (1) If the resistance of R is very small, the terminal potential difference of the battery is very small but the power dissipated in the battery is large. (2) If the resistance of R is very large, the current in the circuit is very small but most of the power supplied by the battery is dissipated by R. (3) If the resistance of R is 4 , the power supplied to R by the battery is at a maximum. 26. Two parallel plates are connected to an E.H.T. of 4.5 kV. Electric breakdown occurs when the separation of the plates is reduced to 1.5 mm. Estimate the maximum acceleration of an electron between the plates. (Given: charge of an electron = 1.6 10-19 C; mass of an electron = 9.1 10-31 kg) A. B. C. D. E. 4.0 107 ms-2 1.0 109 ms-2 1.2 1012 ms-2 1.6 1015 ms-2 5.3 1017 ms-2 00 AL Physics/M.C./P.7 27. A beam of charged particles passes undeflected through a region of crossed uniform electric and magnetic fields. Which of the following must be common to the particles making up this beam? A. B. C. D. E. I II III charge to mass ratio velocity mass sign of charge magnitude of charge (1) I II II III III A. B. C. D. E. 28. When a simple motor rotating at a steady speed is suddenly jammed and comes to a stop, which of the following statements is/are correct? (2) II II III II III 30. X (1) The rate of change of magnetic flux through the coil of the motor will be very large. (2) A large e.m.f. will be induced in the coil of the motor. (3) A large current will flow through the coil of the motor. A. B. C. D. E. Y 6.0 V Z (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) In the above circuit, the battery has an e.m.f. of 6.0 V and all the capacitors are identical. Initially none of the capacitors are charged. The switch is first connected to X and then to Y. What is the final potential difference between Z and Y? 29. A. B. C. D. E. D R 1.0 V 1.5 V 2.0 V 2.4 V 3.6 V 31. The figure shows a bridge rectifier circuit in which all the diodes are assumed ideal. The source is a sinusoidal a.c. supply. Which of the following traces (I, II or III) would be displayed on a CRO connected across the load resistor R if (1) the diode D were reversed in the circuit, (2) the diode D were removed leaving a break in the circuit? I 0 t A constant p.d. is applied to a solenoid. The variation of current I with time t is as shown. Which of the following can be deduced from the shape of the graph? A. The solenoid has resistance as well as inductance. B. The inductance of the solenoid decreases as time increases. 00 AL Physics/M.C./P.8 C. The inductance of the solenoid increases as time increases. D. The e.m.f. induced in the solenoid is proportional to the current. E. The e.m.f. induced in the solenoid is proportional to the rate of change of current. A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 34. 32. L B C A L S In the above circuit, A and B are identical light bulbs and L is a pure iron-cored inductor. Which of the following statements is/are correct? (1) When switch S is closed, bulb A will light up first. (2) After switch S is closed for some time, A and B are equally bright. (3) When switch S is open, bulb A will go out first. A. B. C. D. E. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) The figure shows an LC oscillatory circuit in which C is a capacitor and L is an aircored inductor. At a certain instant the magnetic flux inside L is pointing upward as shown. Which of the following descriptions of the capacitor is/are possible at this instant? (1) The capacitor is charging with upper plate positively charged. (2) The capacitor is charging with lower plate positively charged. (3) The capacitor is discharging with upper plate positively charged. (4) The capacitor is discharging with lower plate positively charged. A. B. C. D. E. 33. C R A capacitor C and a resistor R are connected in series to an a.c. source of constant output voltage. Which of the following statements is/are correct? (1) The current leads the applied voltage. (2) The impedance of the circuit decreases when the frequency increases. (3) The power factor of the circuit decreases when the frequency increases. (1) only (1) or (3) only (1) or (4) only (2) or (3) only (2) or (4) only the the the the 00 AL Physics/M.C./P.9 35. The following diagrams show the currents of sinusoidal waveform and square waveform passing in turn through a resistor. The average power dissipated is the same in both cases. B. When r < r0, U increases as r decreases. C. When r > r0, U increases as r increases. D. When r is very large, U is close to zero. E. When U is very large, the force between the two molecules is repulsive. I/A 1 0 T 2T time 38. Q p/kPa I/A I0 0 T 2T R time P 0 Given that the peak value of the sinusoidal current is 1 A. What is the value of I0 of the square waveform current? A. 1 A 2 1 A 2 C. 1 A S T/K A fixed mass of an ideal gas goes through the three processes from P to S indicated in the above p-T diagram: (1): P Q, (2): Q R, (3): R S. During which of the above processes is work done by the gas on the surroundings? B. D. 2A E. 2 2A 36. The average stress in the legs of a man standing upright is S. If the dimensions of the man are doubled while the average density of the body remains the same, the average stress in the legs would be A. B. C. D. E. S/2. S. 2S. 4S. 8S. 37. Let r be the separation of two molecules in a solid and U be the intermolecular potential energy of these two molecules. When r = r0, the attractive force between the two molecules is equal to their repulsive force. Let U = 0 when r = r0. Which of the following statements is INCORRECT? A. U is non-negative for all values of r. A. B. C. D. E. (1) only (3) only (1) and (2) only (1) and (3) only (2) and (3) only 39. Which of the following statements concerning a real gas is/are correct? (1) Collisions between molecules and the wall of a container are not perfectly elastic. (2) The volume of the molecules cannot be neglected. (3) Intermolecular forces cannot be neglected. A. B. C. D. E. (1) only (2) only (3) only (1) and (2) only (2) and (3) only 00 AL Physics/M.C./P.10 40. 42. Energy +15 V Vin 0 Vout Q -15 V -4E P -6E The energy levels of a certain atom are as shown. Which of the following may undergo an inelastic collision with the atom? In the operational amplifier circuit shown the feedback is provided by a potentiometer PQ. The gain of the amplifier circuit is (1) an electron with kinetic energy 3E (2) a photon with energy 2E (3) a photon with energy 3E A. B. C. D. E. (1) zero when the sliding contact is at P. (2) one when the sliding contact is at Q. (3) independent of the resistance value of the potentiometer PQ. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) A. B. C. D. E. 41. In a series of photoelectric emission experiments on a certain metal surface, relationships between the following physical quantities were investigated. (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 43. N f I i K = = = = frequency of incident light intensity of incident light photoelectric current maximum kinetic energy photoelectrons P of y x 0 Two of these quantities, when plotted on a graph of y against x, would give a straight line through the origin. Which of the following correctly identifies x and y? (Assume the frequencies used are greater than the threshold frequency.) A. B. C. D. E. x K f f I I y i K i K i The diagram shows the path of an particle as it approaches a massive nucleus at N. At point P the -particle is nearest to the nucleus. Which of the following statements is correct? A. At P the electric potential energy of the -particle is at a minimum. B. At P the total energy of the -particle is the minimum. C. At P the angular momentum of the particle about N is at a minimum. D. If the initial kinetic energy of the particle was greater, the distance between P and N would be larger. E. If the atomic number of the nucleus was greater, the distance between P and N would be larger. 00 AL Physics/M.C./P.11 44. A GM counter is placed close to and in front of a radioactive source which emits both and radiation. The count rate recorded is 500 counts per minute while the background count rate is 50 counts per minute. Three different materials are placed in turn between the source and the counter. The following results are obtained. Material Recorded count rate / counts per minute 500 x y (Nil) Cardboard 1 mm of aluminium 5 mm of lead z Which of the following is a suitable set of values for x, y and z? A. B. C. D. E. x y z 350 350 350 150 150 350 150 150 150 50 150 50 0 50 50 45. The following equations represent some typical nuclear reactions:(I) 9 4 Be 11H 63 Li 42 He (II) 2 1 H 31H 42 He 01n (III) 235 92 U 01n 148 57 La 85 35 Br 3 01n Which of the following descriptions of these reactions is/are correct? (1) Reaction (I) represents a spontaneous -decay. (2) Reaction (II) represents a nuclear fusion. (3) Reaction (III) represents a chain reaction. A. B. C. D. E. - End of Paper - (1) only (3) only (1) and (2) only (2) and (3) only (1), (2) and (3) 00 AL Physics/M.C./P.12 Question No. Key Question No. Key 1. 2. 3. 4. 5. D B C A C 26. 27. 28. 29. 30. E B B D C 6. 7. 8. 9. 10. A C A B B 31. 32. 33. 34. 35. A C C D C 11. 12. 13. 14. 15. C B A B E 36. 37. 38. 39. 40. C D E E C 16. 17. 18. 19. 20. B E A D D 41. 42. 43. 44. 45. E D E A D 21. 22. 23. 24. 25. E A A E D