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05 AL Physics/M.C./P.1 2005 Hong Kong Advanced Level Examination AL Physics Multiple Choice Questions 1. 4. 30 cm 40 cm (1) the positions of the five objects in the air at any instant before landing on the ground, (2) the landing positions of the five objects on the ground? A block of mass 2.5 kg rests on the rough surface of a wedge, which in turn rests on a rough horizontal floor as shown. What is the frictional force exerted by the floor on the wedge if the whole system is at rest? A. B. C. D. 2. Five objects are released from an aircraft flying horizontally with a constant velocity. They are released one by one at two-second intervals. Neglecting air resistance, what can be said about (1) A. They lie on a parabola B. They lie on a parabola C. They lie on a straight line D. They lie on a straight line 0N 12 N 15 N 20 N The figure shows a pendulum bob swinging between positions x and y. 5. x P y Q R z S Which of the arrows P, Q, R, S represents the direction of the resultant force acting on the bob when the bob is at position z? (Neglect air resistance.) A horizontal elastic cord of natural length a is fixed at one end and a small mass m is attached to the other end. The mass rotates uniformly in a horizontal circle on a smooth horizontal surface. When the mass takes time T to complete one revolution, the length of the cord is 1.5a. The angular speed of the mass is changed such that the length of the cord becomes 2a. What is the new time for one revolution? (Assume that the elastic cord obeys Hooke’s law.) A. A. B. C. D. 3. (2) They are evenly spaced. They are unevenly spaced. They are evenly spaced. They are unevenly spaced. P Q R S An object falls from rest from the top of a tower. The object takes 0.40 s to fall from the mid-point of the tower to the ground. Calculate the time taken for the object to fall from the top of the tower to the ground. (Neglect air resistance.) A. B. C. D. 0.68 s 0.80 s 1.20 s 1.37 s B. C. D. 2 T 3 4 T 3 2 T 3 3 T 2 6. P O Q An object performs simple harmonic motion along a straight line about the equilibrium position O. It passes points P and Q with the same speed. The object 05 AL Physics/M.C./P.2 takes 0.2 s to travel from P to Q and it takes a further 0.3 s to return to P. What is the period of the motion? A. B. C. D. 7. 9. 0.6 s 0.8 s 1.0 s 1.2 s A convex lens of focal length 20 cm forms a diminished image of an object (letter ‘F’) on a translucent screen, as shown. Which of the following deductions is/are correct? Two blocks P and Q are joined by a light inextensible cord. The two blocks are attached to fixed points by means of two light identical springs as shown. The mass of P is greater than that of Q. The blocks rest on a smooth horizontal surface and the cord is in tension. P cord (1) The separation of the lens and the screen is less than 40 cm. (2) The separation of the object and the screen is greater than 80 cm. (3) Keeping the positions of the object and the screen unchanged, another sharp image can also be formed on the screen if the lens is moved nearer to the object. Q When the cord is cut, the two blocks subsequently perform simple harmonic motion. Which of the following statements about block P is/are correct? (1) It has a longer period. (2) It has a smaller amplitude. (3) It has a smaller maximum kinetic energy. A. B. C. D. (1) only (1) and (2) only (2) and (3) only (1), (2) and (3) 10. P A. B. C. D. (1) only (1) and (2) only (2) and (3) only (1), (2) and (3) S1 8. direction of propagation P Q R The figure shows the shape of a transverse wave travelling along a string at a certain instant. Which of the following statements about the motion of the particles P, Q and R on the string at this instant is correct? A. Particle P is moving downwards. B. Particle Q is stationary. C. Particle R has at its maximum acceleration. D. Particles P and Q are in phase. S2 In the figure, S1 and S2 are two dippers in a ripple tank generating circular waves of wavelengths l and 2 respectively with 1 = 22. The solid lines represent crests. S1 and S2 are generating crests at the instant shown. P is a point equidistant from S1 and S2. Which of the following statements is correct? A. The frequency of the waves generated by S1 is twice that of S2. B. The waves at P always reinforce each other. C. The waves at P do not obey the principle of superposition as their wavelengths are not equal. D. The waves at P still obey the principle of superposition but they do not always reinforce each other. 05 AL Physics/M.C./P.3 11. (1) Disconnecting the plates from the supply and moving the plates closer (2) Keeping the separation between the plates unchanged and increasing the p.d. between the plates (3) Keeping the p.d. between the plates unchanged and moving the plates further apart cladding (n2) i core (n1) The figure shows the structure of an optical fibre. It consists of an inner core of refractive index nl and an outer cladding of refractive index n2. Which of the following conditions is necessary for the ray to travel along the core of the fibre? A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only 14. A. nl > n2 and the angle i should be greater than a certain value. B. nl > n2 and the angle i should be less than a certain value. C. nl < n2 and the angle i should be greater than a certain value. D. nl < n2 and the angle i should be less than a certain value. R mA A voltmeter is constructed by connecting a resistor R in series with a milliammeter of negligible internal resistance as shown. It is found that this voltmeter reads 4.9 V when the actual value is 5.0 V. Which of the following modifications would improve the accuracy of the voltmeter such that it gives a reading close to 5.0 V? 12. P, Q and R are small identical metal spheres. P and Q are fixed at a certain separation in vacuum and they carry charges of the same magnitude. The attractive force between them is F. Sphere R is initially uncharged. It first touches P and then it touches Q. What is the electrostatic force between P and Q after R is taken away? A. B. C. D. A. Connecting a resistance is much series with R B. Connecting a resistance is much series with R C. Connecting a resistance is much parallel with R D. Connecting a resistance is much parallel with R F/4 F/8 3F/4 3F/8 13. + resistor whose higher than R in resistor whose lower than R in resistor whose higher than R in resistor whose lower than R in 15. 4 k _ 10 V 6 k 2 F 2 F K A negatively charged oil drop is kept stationary between two horizontal metal plates connected to a d.c. supply as shown. The oil drop then acquires an additional negative charge. Which of the following changes will be able to hold the oil drop stationary? In the circuit, the battery has a constant e.m.f. of 10 V and negligible internal resistance. Initially, switch K is closed. The switch K is then opened. What is the 05 AL Physics/M.C./P.4 total additional charge given to the two capacitors when a steady state is reached? A. B. C. D. 18. -particle’s path 8 C 12 C 28 C 40 C W Z Magnetic field out of paper 16. R Q S P uniform magnetic field X proton’s path A proton and an -particle move in a uniform magnetic field. The magnetic field is directed out of the plane of the paper. Within a square region WXYZ, the proton takes time t1 to complete a half circle from X to Y while the -particle follows a quarter circle from X to Z in time t2. What is the ratio t1 : t2 ? Conducting rods PQ and RS are placed on two smooth, parallel, horizontal conducting rails. A uniform magnetic field is directed into the plane of the paper. PQ is given an initial velocity to the right. Which of the following statements is INCORRECT? A. The induced current is in the direction PQRS. B. The magnetic force acting on rod PQ is towards the left. C. Rod RS starts moving towards the right. D. Rod PQ moves with a uniform speed. Y A. B. C. D. 1:2 1:1 2:1 It cannot be determined as the ratio of their speeds is not given. 19. A rectangular coil is placed adjacent to a straight wire MN carrying an alternating current I which varies with time t as shown in the graph. The wire MN is in the plane of the coil and the current I is positive (+) when it is in the direction from M to N. 17. N 2 dynamo In the circuit, the two ‘12 V, 6 W’ lamps are operating at their rated values. The internal resistance of the dynamo is 2 . What percentage of the electrical power generated by the dynamo is consumed by the two lamps? A. B. C. D. 75% 86% 92% 100% + _ I 0 t T/2 T M Starting from t = 0, how does the direction of the current induced in the coil vary in one period? A. Clockwise first and then anticlockwise B. Anticlockwise first and then clockwise C. Clockwise anticlockwise clockwise anticlockwise D. Anticlockwise clockwise anticlockwise clockwise 05 AL Physics/M.C./P.5 20. Two vessels contain hydrogen gas and oxygen gas respectively. Both gases are assumed to be ideal and they have the same pressure and temperature. Which of the following physical quantities must be the same for the two gases? A. B. C. D. The volume of the gas The mass per unit volume of the gas The r.m.s. speed of the gas molecules The number of gas molecules per unit volume A. B. C. D. 21. Pressure 160 counts per second 80 counts per second 60 counts per second 30 counts per second Y 1.5p 24. On which of the following does the activity of a radioactive source depend? p X 0 T 2T Absolute temperature A gas in a vessel of fixed volume leaks gradually. The gas in the vessel changes from state X to state Y along the path XY shown in the plot of pressure against absolute temperature. What percentage of the original mass of the gas leaks out from the vessel in this process? A. B. C. D. 23. A detector placed near a source of gamma radiation records a count rate of 960 counts per second. The half-life of the source is 12 hours. A slab of material of thickness 6 cm is then placed between the source and the detector. The ‘half-value thickness’ of the material is 2 cm (i.e. the intensity of the radiation would reduce by half after passing through 2 cm of the material). Estimate the count rate recorded by the detector after one day. (Neglect any background radiation.) (1) the number of active nuclides in the source (2) the half-life of the source (3) the nature of the nuclear radiation emitted by the source A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only 25. A physical quantity x is measured many times. The number of measurements N giving a value of x is plotted against x. The ‘true’ value of the physical quantity is x0. Which graph below shows that the measurements have small random errors but a large systematic error? 10% 20% 25% 50% 22. The following equation represents a nuclear fission reaction, producing q neutrons. A. N 235 1 141 92 1 92 U0 n 56 Ba Z K q 0 n What are the values of the atomic number Z and the number q? x 0 A. B. C. D. Z 37 36 36 34 q 2 2 3 3 x0 B. N x 0 x0 05 AL Physics/M.C./P.6 flywheel is dissipated against friction in the journey, find the maximum height reached by the toy car. C. N A. B. C. D. 5.5 cm 7.5 cm 9.5 cm It cannot be determined as the angle of inclination is not known. x 0 x0 28. An object of mass 5.0 kg has a weight of 8.2 N on the surface of the moon. The radius of the moon is R. What is the gravitational field strength, in N kg-1, at a point distance 2R from the centre of the moon? (Assume that the moon is a sphere of uniform density.) D. N A. B. C. D. x 0 x0 1.6 0.8 0.4 0.2 26. U 29. P X 2 mm 0 Y x The graph shows how the potential energy (U) of a body varies with its displacement (x) from a fixed point. Which feature of the graph shows that the force acting on the body is directed towards the fixed point? A. The fact that the graph passes through the origin. B. The fact that the value of the potential energy is always positive. C. The fact that the graph is symmetrical about the U-axis. D. The fact that the potential energy increases as the body moves further away from the fixed point. 27. A toy car is equipped with a small flywheel that can be set into rapid rotation by a brief push across a solid surface. The moment of inertia of the flywheel is 3.6 10-5 kg m2 and the total mass of the toy car is 0.2 kg. With the flywheel rotating at an angular velocity of 96 rad s-1, the car is allowed to run up an incline. If 10% of the energy initially stored in the 45 cm Two identical sinusoidal waves, travelling in opposite directions along a string XY fixed at both ends, form a stationary wave. The separation between X and Y is 45 cm. The figure shows the shape of the string at an instant when the antinode P attains its maximum displacement of 2 mm from the equilibrium position. What is the amplitude and wavelength of each of the travelling waves on the string? A. B. C. D. Amplitude 1 mm 1 mm 2 mm 2 mm Wavelength 30 cm 15 cm 30 cm 15 cm 05 AL Physics/M.C./P.7 30. In the figure, XY is an optically flat glass plate while PQ is a glass specimen with a uniform indentation along PQ. When monochromatic light of wavelength falls normally on the system, interference fringes are observed as shown. The maximum depth of the indentation is h. What is the value of h, in terms of a, b and ? (Diagram not drawn to scale.) 32. The figure shows the essential features of a cathode-ray tube with filament F, cathode and anode. Monochromatic light Y P Q X b P Q A. B. C. D. a h = b / 2a h = b / a h = 2b / a h = (a - b) / 2a (1) Increasing the p.d. between the plates P and Q (2) Increasing the p.d. between the anode and cathode (3) Increasing the p.d. applied across the filament F 31. Metal plate Transmitter Q P Probe detector A microwave transmitter emits plane-polarized waves of frequency 1.0 1010 Hz which are reflected from a large metal plate as shown. When a probe detector is moved between P and Q, the intensity of the waves detected varies along the line PQ. Which of the following statements is/are correct? (1) The variation in intensity is due to the interference of waves. (2) The separation between consecutive positions of minimum intensity is 3 cm. (3) If the transmitter is rotated 90 about the line PQ, a position of minimum intensity will become a position of maximum intensity. A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only A beam of electrons emitted from the cathode is deflected by the electric field between the plates P and Q. Which of the following changes will increase the deflection of the electron beam? A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only 33. A p.d. of 10 V is applied across a uniform wire of resistance 5.0 . The number of conduction electrons per unit volume of the wire is 1.0 1028 m-3 and its cross-sectional area is 1.0 mm2. What is the average drift velocity of conduction electrons in the wire? (Given: charge on electron = -1.6 10-19 C) A. B. C. D. 3.l 10-4 m s-1 1.3 10-3 m s-1 3.1 10-3 m s-1 6.3 10-3 m s-1 05 AL Physics/M.C./P.8 34. The electric field strength near the surface of a charged metal sphere is E. The charge on the sphere and its radius are doubled. What is the new electric field strength near the sphere’s surface? A. B. C. D. the induced e.m.f. in L. the current in L. the inductance of L. the energy stored in L. 37. A coil of inductance 3.2 10-2 H and resistance 20 is connected to a 50 Hz a.c. source. What is the impedance of the coil at 50 Hz? E 4 E B. 2 C. E D. 2E A. A. B. C. D. 35. 10 20 22 30 38. C R 0.5 m The figure shows a rectifier circuit with a smoothing capacitor C which has been installed to provide current to a load resistor R. Which of the following would reduce the ripple on the current through R? A wide tank contains a non-viscous liquid. The surface of the liquid is at a height 0.5 m above a hole situated at the bottom of the tank. Assuming streamline flow, calculate the velocity of the liquid emerging from the hole. (1) Increasing the capacitance of C (2) Increasing the resistance of R (3) Increasing the a.c. supply frequency A. B. C. D. A. B. C. D. (1) only (1) and (3) only (2) and (3) only (1), (2) and (3) 39. Masses m and 2m are suspended from two uniform copper wires P and Q. The wires are of the same length and their cross-sectional areas are A and 2A respectively. What is the ratio of the elastic potential energy stored in wire P to that in wire Q? 36. x E 2.2 m s-1 3.2 m s-1 10 m s-1 It cannot be found as the density of the liquid is not known. S R L P 0 A cell of e.m.f. E is connected to a resistor R and an inductor L as shown. When switch S is closed, the variation with time t of a quantity x is represented by the graph. The quantity x is Q t m A. B. C. D. 1: 4 2: 1 1:1 1:2 2m 05 AL Physics/M.C./P.9 42. The critical temperatures and boiling points of carbon dioxide (CO2) and oxygen (O2) are given below: 40. F P critical temperature / C Y Z X 0 carbon dioxide (CO2) oxygen (O2) e O Q A specimen of material stretches and contracts as a tensile force F is applied to it. The force F is first increased (O to P) and then decreased (P to Q) as shown in the force-extension (F-e) graph. Which of the following combinations of areas X, Y and Z represents the net work done on the specimen during the stretching and contracting cycle? A. B. C. D. Z X+Y X+Y–Z X+Y+Z 41. The circuit below is constructed using an ideal operational amplifier. 50 k Vin 5 k _ Vout - 15 V 0.5 V An input voltage Vin of 0.5 V is applied to the circuit. What is the potential at the inverting input and the current in the 50 k resistor? A. B. C. D. potential 0V 0V -5V -5V current 10 A 100 A 10 A 100 A -119 -183 Which of the following statements is/are correct? (1) Both carbon dioxide and oxygen are in a gaseous state at s.t.p. (i.e. 0 C, 1 atm). (2) Oxygen can be liquefied at –150 C by increasing the pressure. (3) Both carbon dioxide and oxygen can be liquefied at 0 C by increasing the pressure. A. B. C. D. (1) only (3) only (1) and (2) only (2) and (3) only 43. Which of the following descriptions about spectra is/are correct? + 15 V + 31.1 boiling point at standard atmospheric pressure / C -78.5 (1) A tungsten-filament lamp emits a continuous spectrum of light. (2) An electrical discharge through a gas at low pressure produces a line spectrum. (3) A gas produces an emission spectrum at high temperatures. A. B. C. D. (1) and (2) only (1) and (3) only (2) and (3) only (1), (2) and (3) 05 AL Physics/M.C./P.10 44. n=4 n=3 -1.6 eV -2.7 eV n=2 -5.5 eV n=1 -10.4 eV The figure shows the possible energy levels of a mercury atom. A free electron with kinetic energy 8.4 eV collides with a mercury atom, which is in its ground state. The change in kinetic energy of the mercury atom in the collision may be neglected. What is/are the possible value(s) for the kinetic energy of the electron after collision? 45. Which of the following phenomena supports the fact that a nucleus is made up of other fundamental constituents? A. emission of electrons when a metal is illuminated by light B. the emission of line spectrum by atoms C. the scattering of -particles from a gold foil D. the decay of radioactive substances (1) 0.7 eV (2) 2.9 eV (3) 3.5 eV A. B. C. D. (1) only (2) only (2) and (3) only (1) and (3) only - End of Paper - 05 AL Physics/M.C./P.11 Question No. Key Question No. Key 1. 2. 3. 4. 5. A (12) B (16) D (33) C (34) A (40) 26. 27. 28. 29. 30. D (54) B (73) C (76) A (62) A (27) 6. 7. 8. 9. 10. A (45) A (56) C (49) D (30) D (56) 31. 32. 33. 34. 35. A (45) A (74) B (78) B (75) D (57) 11. 12. 13. 14. 15. B (46) B (26) B (52) C (The item was deleted) C (30) 36. 37. 38. 39. 40. A (66) C (70) B (72) D (42) B (62) 16. 17. 18. 19. 20. D (51) B (67) B (38) A (29) D (58) 41. 42. 43. 44. 45. B (53) C (63) D (34) D (68) D (39) 21. 22. 23. 24. 25. C (83) C (86) D (73) C (61) A (34)