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CCC HOH FUK TONG COLLEGE Mock Examination 2012–2013 Physics Paper 1 Secondary:6 Date:06/02/ 2013 Time allowed:2.5 hours (8:15 am – 10:45 am) Marks:120 Name:____________________________ Class:S.6E Number:_____ GENERAL INSTRUCTIONS 1. There are TWO sections, A and B, in this Paper. Section A consists of multiple-choice questions in this question book, while Section B contains conventional questions printed separately in Question-Answer Book B. You are advised to finish Section A in about 60 minutes. 2. Answers to Section A should be marked on the Multiple-choice Answer Sheet while answers to Section B should be written in the spaces provided on Question-Answer Book B. The Answer Sheet for Section A and the Question-Answer Book for Section B must be handed in separately at the end of the examination. SECTION A (MULTIPLE-CHOICE QUESTIONS) INSTRUCTIONS FOR SECTION A 1. Read the instructions on the Answer Sheet carefully. Insert the information required in the spaces provided. 2. When told to open this book, you should check that all the questions are there. Look for the words ‘END OF SECTION A’ after the last question. 3. All questions carry equal marks. 4. ANSWER ALL QUESTIONS. You should use an HB pencil to mark all your answers on the Answer Sheet. Wrong marks must be completely erased. 5. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question. 6. No marks will be deducted for wrong answers. page 1 SECTION A There are 36 questions. Questions marked with * involve knowledge of the extension component. 1 Metal blocks P and Q are of the same initial temperature. The ratio of the mass of P to that of Q is 5 : 1. The ratio of the heat capacity of P to that of Q is 1 : 3. If both blocks absorb the same amount of energy and are then put into good thermal contact, which of the following statements about the heat flow between the two blocks is correct? Assume no energy is lost to the surroundings. 2 A Heat will flow from P to Q. B Heat will flow from Q to P. C Heat will first flow from P to Q, and then Q to P. D No heat will flow between the two blocks. A gas substance is cooled under room temperature. Its cooling curve is as shown below. The specific heat capacity of the gas is 2500 J kg1 C1. If the rate of energy loss of the substance is constant throughout the cooling process, what is the specific latent heat of vaporization of the substance? temperature / C 80 60 40 20 0 10 20 30 40 time / min A 75 kJ kg1 B 100 kJ kg1 C 150 kJ kg1 D 250 kJ kg1 page 2 3 *4 Which of the following statements explains why we feel cool when there is a wind? (1) The rate of evaporation of sweat is higher when it is windy. (2) When wind blows, the warm air around us is replaced with cooler air. (3) When wind blows, the average kinetic energy of air particles increases. A (1) only B (2) only C (1) and (2) only D (2) and (3) only An ideal gas is sealed in a container of fixed volume. The solid line below shows the distribution of speeds of the molecules of the gas at time T1. The dotted line shows the new distribution at time T2. number of molecules at T2 at T1 speed of molecules Which of the following quantities of the gas decrease(s) from T1 to T2? (1) Temperature (2) Volume (3) Pressure A (1) only B (2) only C (1) and (3) only D (1), (2) and (3) page 3 5 acceleration stone time of impact time water surface 0 Figure (a) Figure (b) In Figure (a), a stone is released from rest at a certain height above water. After some time, the stone hits the water surface. For a short duration immediately after the impact, we can assume the water resistance acting on the stone to be constant. Figure (b) shows the acceleration-time graph of the stone. Which of the following velocity-time graphs best represents the motion of the stone? A 0 C time velocity 0 D velocity 0 6 B velocity time velocity time 0 time A car of mass 1600 kg is travelling on a straight road at 15 m s–1 initially. The driver sees an obstacle ahead and applies the brake. The car travels a further distance of 20 m before it stops. Suppose the braking force is a constant. Find the magnitude of the braking force. A 3800 N B 4500 N C 6000 N D 9000 N page 4 7 35 A boy is flying a kite of mass 0.2 kg attached to a light string. The kite remains stationary and the string makes an angle of 35 with the horizontal. If the tension of the string is 15 N, what is the magnitude of the force acting on the kite by the wind? A 14.0 N B 16.2 N C 16.6 N D 17.5 N 8 train direction of motion parcel A train carrying a 200-kg parcel travels along a straight horizontal railroad with a constant speed. Which of the following free-body diagrams shows all the forces acting on the parcel? Note: W = gravitational force acting on the parcel, R = normal reaction exerted by the train floor on the parcel, and F = friction acting on the parcel. A B R R F W W page 5 C D R R F F W W 9 wooden block 600 m s–1 bullet 500 g A bullet of mass 20 g flies horizontally at 600 m s –1. It hits a 500-g wooden block resting on a smooth horizontal surface and becomes embedded into the block after impact. Find the change in kinetic energy of the system (i.e. bullet and block) upon impact. 10 A –3456 J B –3462 J C –3467 J D –3473 J A passenger lift accelerates upwards uniformly at 0.654 m s–2. When the lift reaches a speed of 1.25 m s–1, the power delivered to the lift by the engine is 29 430 W. How many passengers are in the lift? Take the mass of the lift to be 1500 kg and assume each passenger has a mass of 75 kg. A 10 B 11 C 12 D 13 *11 O 100 m 8 A car is moving around a circular path with a banking angle of 8 at a uniform speed v. The radius of curvature is 100 m. Suppose there is no friction between the car and the road. Find the value of v. page 6 12 A 11.7 m s–1 B 20.3 m s–1 C 31.2 m s–1 D 42.1 m s–1 The figure below shows a human arm. The forearm and the hand have a total mass of 1.5 kg and their centre of gravity C is 15 cm from the elbow joint. biceps F metal ball forearm elbow joint C' C 4 cm 15 cm 34 cm Suppose the hand holds a metal ball of mass 5 kg. The centre of gravity C' of the metal ball is 34 cm from the elbow joint. A force F applied by the biceps 4 cm from the elbow joint holds the forearm at right angles to the arm. Find the magnitude of F. A 362 N B 408 N C 472 N D 553 N *13 Q P R 10 m S 7m A monkey of mass 8 kg rests at point P. It grabs a vine and swings to point R where the vine is vertical. It releases the vine at point R and lands on the ground at point S. Given that point R is page 7 10 m above the ground and the horizontal distance between points R and S is 7 m. Find the speed of the monkey at point R. Neglect air resistance. A 2.9 m s–1 B 4.9 m s–1 C 8.3 m s–1 D 14.0 m s–1 14 P equilibrium position Q The above figure shows a wave travelling along a string. At the instant shown, particle P is moving downwards. Which of the following deductions is/are correct? (1) The wave is moving to the right. (2) Half a period later, particle Q will be moving upwards. (3) The maximum displacements of particles P and Q from the equilibrium position are different. 15 A (1) only B (1) and (2) only C (2) and (3) only D (1), (2) and (3) The figure below shows the displacementtime graph of a particle on a transverse wave. displacement / cm 5 0 time / s 2 4 6 –5 Which of the following quantities of the wave can be deduced from the graph? (1) Frequency (2) Wave speed page 8 16 (3) Direction of propagation A (1) only B (2) only C (1) and (3) only D (1), (2) and (3) A train of straight water waves travels from region P to region Q. The following figure shows the travelling directions of the wave in the two regions. P Q Which of the following statements is/are correct? 17 (1) The water in region P is deeper than in region Q. (2) When the train of waves travels from region P to region Q, its wavelength increases. (3) When the train of waves travels from region P to region Q, its frequency increases. A (1) only B (3) only C (1) and (2) only D (1) and (3) only Two dippers X and Y produce circular water waves in a ripple tank to form an interference pattern. The antinodal lines are represented by dotted lines as shown. P is a point on an antinodal line. P X Y X Y Which of the following changes will result in destructive interference at P? (1) Reduce the vibrating frequency of X by half. page 9 18 (2) Double the amplitude of vibration of X. (3) Reduce the depth of water in the ripple tank. A (1) only B (1) and (2) only C (2) and (3) only D (1), (2) and (3) An elastic string is slightly stretched to a length of 1 m. Both ends of the string are fixed. By giving a disturbance to the string, a stationary wave is produced on it as shown. P and Q are two particles on the string. Q P 1m Which of the following statements is correct? *19 A The wavelength of the stationary wave is 1 m. B The speed of the wave along the string is zero. C The two ends of the string are antinode positions. D Particles P and Q vibrate in phase. A beam of monochromatic light is incident normally on a plane transmission grating as shown. The maximum order of fringes formed is 4. Which of the following is a possible angle θ of the second order bright fringe? screen monochromatic light θ plane transmission grating A 13 B 25 C 35 D 45 second order bright fringe page 10 20 A student directs a ray of light to the centre of a semicircular glass block as shown. Then he increases the angle of incidence i from 0 to 90 gradually. The refractive index of glass is 1.61. ray box with a single slit i air glass × O semicircular glass block Which of the following statements is/are correct? *21 (1) The light has the same frequency in air and in glass. (2) The speed of light in air is larger than that in glass. (3) Total internal reflection occurs when i > 38.4. A (2) only B (1) and (2) only C (1) and (3) only D (1), (2) and (3) An object is placed at 20 cm from a concave lens of focal length 5 cm. Find the magnification of the image. 22 A 0.20 B 0.33 C 4.00 D 6.67 Which of the following statements about sound waves is/are correct? (1) Sound waves require a medium to propagate. (2) When a sound wave travels in air, the vibrations of air particles are perpendicular to the direction of travel of the sound wave. (3) The wavelength of a sound wave increases as the wave travels from air to water. A (2) only B (1) and (2) only C (1) and (3) only D (1), (2) and (3) page 11 23 displacement of particles in concrete + P ︱ distance / cm 15 – The above figure shows the displacement–distance graph of a sound wave travelling to the right in a block of concrete at a certain instant. P is a particle on the wave. Which of the following statements is/are correct? (Take the displacement towards the right as positive.) (1) P is at a centre of rarefraction at the moment shown. (2) P is momentarily at rest at the moment shown. (3) The wavelength of the sound wave becomes larger than 0.1 m when the wave travels from concrete to air. 24 A (1) only B (3) only C (1) and (2) only D (2) and (3) only Karen combs her hair. Her comb becomes charged and she puts the comb near small bits of paper without touching them. Which of the following statements is/are correct? 25 (1) Karen’s hair is charged. (2) The bits of paper are charged. (3) The comb attracts the bits of paper. A (1) only B (1) and (3) only C (2) and (3) only D (1), (2) and (3) Two oppositely charged parallel metal plates are separated by a small distance d. The electric field strength between the plates is E. An electron of mass m and charge –e enters the space between the two plates as shown. + + + + + + + + + + e– d – – – – – – – – – – page 12 Which of the following correctly gives the magnitude and direction of the acceleration of the electron as it travels between the plates? Magnitude eE m eE m eE md eE md A B C D 26 Direction same as the electric field opposite to the electric field same as the electric field opposite to the electric field Two oppositely charged parallel metal plates are separated by a small distance. The electric field strength between the two plates is uniform. An electron is projected from the negatively charged plate to the positively charged plate. Which of the following graphs shows how the kinetic energy KE of the electron varies with the distance d between the electron and the negatively charged plate? A 0 C d d KE 0 D KE 0 27 B KE d KE 0 d M and N are two resistive wires of the same length and thickness. A student passes currents I of different sizes from 2 A to 10 A through each wire and measures the corresponding voltages V across the wire. The result is shown in the graph below. page 13 V M N 0 2 6 8 10 I/A Which of the following statements are correct? (1) Wire M obeys Ohm’s law from I = 2 A to I = 8 A. (2) The two wires have the same resistance when I = 6 A. (3) The resistance of M is greater than that of N from I = 2 A to I = 6 A. A (1) and (2) only B (1) and (3) only C (2) and (3) only D (1), (2) and (3) 100 28 X Y S R R In the network of resistors shown, the resistance across terminals X and Y is 99 . When switch S is opened, what is the resistance across terminals X and Y? 29 A Smaller than 49 B Between 49 and 99 C Between 99 and 100 D Larger than 100 An electric toaster is rated at ‘220 V, 1100 W’. Which of the following fuses should be assembled to the power switch of the toaster? A 3A B 5A C 8A D 13 A page 14 30 Three long parallel current-carrying wires X, Y and Z are aligned as shown. Both X and Z are 2 cm apart from Y. The currents passing through X, Y and Z are 2 A, 1 A and 3 A respectively. X Y 2 cm Z 2 cm Which wire experiences the greatest resultant magnetic force per unit length? Which experiences the smallest? *31 Greatest Smallest A Y X B Y Z C Z X D Z Y Which of the following statements about Hall effect is/are correct? (1) Hall effect occurs only in current-carrying semiconductors. (2) From the sign of Hall voltage in a material, we can determine the sign of charge carriers in the material. 32 (3) Hall effect can be applied to measure the strength of a steady magnetic field. A (1) only B (2) only C (3) only D (2) and (3) only Find the directions of the current through the conducting ring when the ring is entering (Figure (a)) and leaving (Figure (b)) a uniform magnetic field as shown. Figure (a) Figure (b) page 15 *33 Entering the magnetic field Leaving the magnetic field A clockwise anticlockwise B clockwise clockwise C anticlockwise anticlockwise D anticlockwise clockwise An alternating current passing through a resistor varies sinusoidally as shown in Figure (a). The average power dissipated by the resistor is W. If another alternating current with waveform in Figure (b) is used instead, what will be the average power dissipated by the resistor? current I / A current I / A 2I0 I0 0 T 2T time t / s 0 –2I0 0.5T 34 2T time t / s –2I0 Figure (a) A T 1.5T Figure (b) W 2 B 1.25 W C 1.75 W D 2.5 W number of neutrons 135 Rn 134 133 132 131 P 130 129 128 80 Q 81 R 82 S 83 84 85 86 87 atomic number page 16 The diagram above shows the number of neutrons and the atomic number of an isotope of radon (Rn). The radon nuclide undergoes the following decays and becomes Z. Rn X Y Z Which of the following nuclides represents Z? 35 36 A P B Q C R D S Which of the following equations represents a nuclear fission? A 2 2 3 1 1 H 1H 1H 1H B 2 3 4 1 H 1H 2 He C 239 94 Pu D 3 2 He 01 n 01n 144 58 Ce 94 36 Kr 2 01 n 23 He 42 He 211 H The half-life of a radioactive substance is 6 hours. A G-M counter is used to measure the acitivity of a sample of the substance. The initial count rate recorded is 1840 counts per second. After 12 hours, the count rate of the sample becomes 520 counts per second. Estimate the background radiation. A 60 counts per second B 80 counts per second C 100 counts per second D 120 counts per second END OF SECTION A page 17 List of data, formulae and relationships Data R = 8.31 J mol1 K1 NA = 6.02 1023 mol1 g = 9.81 m s2 (close to the Earth) G = 6.67 1011 N m2 kg2 c = 3.00 108 m s1 e = 1.60 1019 C me = 9.11 1031 kg 0 = 8.85 1012 C2 N1 m2 0 = 4 107 H m1 u = 1.661 1027 kg (1 u is equivalent to 931 MeV) AU = 1.50 1011 m ly = 9.46 1015 m pc = 3.09 1016 m = 3.26 ly = 206 265 AU = 5.67 108 W m2 K4 h = 6.63 1034 J s molar gas constant Avogadro constant acceleration due to gravity universal gravitational constant speed of light in vacuum charge of electron electron rest mass permittivity of free space permeability of free space atomic mass unit astronomical unit light year parsec Stefan constant Planck constant Rectilinear motion Mathematics For uniformly accelerated motion: Equation of a straight line y = mx + c Arc length = r Surface area of cylinder = 2rh + 2r2 Volume of cylinder = r2h Surface area of sphere = 4r2 Volume of sphere 4 = πr 3 3 v = s = v2 = u + at 1 ut + at 2 2 u2 + 2as For small angles, sin tan (in radians) Astronomy and Space Science Energy and Use of Energy GMm r P = AT4 f v λ f0 c λ0 A(TH TC ) Q =k d t k U= d 1 P = Av 3 2 U = gravitational potential energy Stefan’s law Doppler effect Atomic World Medical Physics 1 m0 v max 2 = hf Einstein’s photoelectric equation 2 4 1 m e 13 .6 En = 2 2e 2 = 2 eV n 8h 0 n energy level equation for hydrogen atom h h = = de Broglie formula p mv = 1.22 λ d Rayleigh criterion (resolving power) 1.22 λ d 1 power = f L = 10 log rate of energy transfer by conduction thermal transmittance U-value maximum power by wind turbine Rayleigh criterion (resolving power) power of a lens I I0 intensity level (dB) Z = c acoustic impedance 2 I (Z Z1 ) = r = 2 intensity reflection coefficient I 0 (Z 2 Z1 ) 2 I = I0ex transmitted intensity through a medium page 18 A1. E = mcT energy transfer during heating and cooling D1. F= A2. E = lm energy transfer during change of state D2. E= A3. pV = nRT equation of state for an ideal gas D3. A4. pV = 1 Nmc 2 3 kinetic theory equation A5. EK = 3RT 2N A molecular kinetic energy v p = t t Q1Q 2 4 π 0 r 2 Q Coulomb’s law 4π 0 r 2 electric field strength due to a point charge V= Q 4π 0 r electric potential due to a point charge D4. E= V d electric field between parallel plates (numerically) D5. I = nAvQ general current flow equation D6. R= force D7. R = R1 + R2 l resistance and resistivity A B1. F =m B2. moment = F d moment of a force D8. B3. EP = mgh gravitational potential energy D9. P = IV = I2R power in a circuit B4. EK = kinetic energy D10. F = BQv sin force on a moving charge in a magnetic field B5. P = Fv = mechanical power D11. F = BIl sin force on a current-carrying conductor in a magnetic field B6. a= centripetal acceleration D12. V= B7. F= Newton’s law of gravitation D13. B= D14. B= fringe width in double-slit interference D15. =N D16. Vs N s Vp N p ratio of secondary voltage to primary voltage in a transformer E1. N = N0ekt law of radioactive decay E2. t1 = 1 mv 2 2 W t v2 = 2r r Gm1 m 2 r 2 λD a C1. y = C2. d sin = n diffraction grating equation C3. 1 1 1 = u v f equation for a single lens 1 1 1 = + R R1 R 2 2 BI nQt 0 I 2 πr 0 NI l t ln 2 k resistors in series resistors in parallel Hall voltage magnetic field due to a long straight wire magnetic field inside a long solenoid induced e.m.f. half-life and decay constant E3. A = kN activity and the number of undecayed nuclei E4. E = mc2 mass-energy relationship page 19