2 HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 2 Data CANDIDATE NAME CT GROUP CENTRE NUMBER INDEX NUMBER 18S speed of light in free space, 8 -1 c = 3.00 10 m s permeability of free space, -7 -1 o = 4 10 H m PHYSICS 9749/01 Paper 1 Multiple Choice 26 September 2019 60 minutes Additional Materials: Optical Mark Sheet elementary charge, -19 e = 1.60 10 C temperature Write in soft pencil. unified atomic mass constant, -27 u = 1.66 10 kg Choose the one you consider correct and record your choice in soft pencil on the OMS. Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. work done on / by a gas hydrostatic pressure INSTRUCTIONS TO CANDIDATES There are thirty questions on this paper. Answer all questions. For each question, there are four possible answers A, B, C and D. uniformly accelerated motion permittivity of free space, -12 -1 o = 8.85 10 F m -9 -1 (1/(36)) 10 F m the Planck constant, - 34 h = 6.63 10 J s Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in the spaces provided. Formulae rest mass of electron, -31 me = 9.11 10 kg rest mass of proton, -27 mp = 1.67 10 kg molar gas constant, -1 -1 R = 8.31 J K mol the Avogadro constant, 23 -1 NA = 6.02 10 mol the Boltzmann constant, -23 -1 k = 1.38 10 J K gravitational constant, -11 2 -2 G = 6.67 10 N m kg acceleration of free fall, -2 g = 9.81 m s gravitational potential pressure of an ideal gas mean kinetic energy of a molecule of an ideal gas displacement of particle in s.h.m. velocity of particle in s.h.m. 1 2 at 2 2 2 v = u + 2as s = ut + W = p V p = gh T/K = T/ C + 273.15 1 Nm P= c2 3 V resistors in series resistors in parallel electric potential alternating current / voltage magnetic flux density due to a long straight wire magnetic flux density due to a flat circular coil magnetic flux density due to a long solenoid radioactive decay decay constant 3 kT 2 E x = xo sin t v = vo cos t = electric current Gm r 2 (xo x 2 ) I = Anvq R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . . V Q 4o r x = xo sin t μo I 2d B B μo N I 2r B = onI x = xo exp ( -t ) ln 2 t1 2 © Hwa Chong Institution This paper consists of 18 printed pages. 9749 / 01 / C2 Prelim 2019 4 3 1 4 The rate of energy transfer H through a conducting slab is given by H kA A resultant force F acts on a mass m. The variation with time t of F is as shown. T l where the proportionality constant k is the thermal conductivity of the material, A is the crosssectional area of the slab, l is the length of the slab and ∆T is the temperature difference at opposite faces of the slab. Which of the following is the unit of k in base SI units? A W m-1 K-1 2 3 B W m-2 K-1 C kg m5 s-2 K-1 D kg m s-3 K-1 A tennis ball travelling at 4.0 m s-1 due east strikes a surface and bounces off at 3.0 m s-1 due north. The change in velocity of the tennis ball is A 1.0 m s-1 at 37° east of north Mass m is 150 g. At time t = 0, the mass is at rest. B 1.0 m s-1 at 53° west of south Which of the following statements is incorrect? C 5.0 m at 37° east of south A The mass slowed down at a decreasing rate from t = 0.25 s to t = 0.50 s. D 5.0 m s-1 at 53° west of north B The mass is momentarily at rest at t = 0.50 s. C The mass reversed direction at t = 0.50 s and sped up at a decreasing acceleration from t = 0.50 s to t = 0.75 s. D The magnitude of the change in velocity of the mass from t = 0.25 s to t = 0.75 s is 0.53 m s-1. s-1 An object is released from rest and falls vertically. Eventually it reaches terminal velocity. Which graph best represents how the displacement of the object varies with time? B A displacement displacement 0 0 0 0 time C D displacement displacement 0 0 0 © Hwa Chong Institution time time 0 time 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 5 5 6 An X-ray photon of wavelength 965.0 x10-12 m collides elastically with a stationary electron. 7 A helium balloon of volume V carrying a light weather instrument rises into the atmosphere. The total mass of the balloon skin and the weather instrument is M kg. Given the gravitational field strength is g, the density of air is ρair, and the density of helium is ρHe, the net force acting on the balloon is A 8 The photon is deflected through an angle of 75° and has a wavelength of 966.8 Given that the momentum carried by the deflected electron is 8.362 x 10-25 N s. x10-12 m. (ρair - ρHe)Vg B (ρair)Vg - Mg C (ρair - ρHe)Vg - Mg D (ρHe - ρair)Vg - Mg A metal wire is stretched by a varying force F, causing its extension x to increase as shown by the line OPQ on the graph. The force is then gradually reduced to zero and the relation between force and extension is indicated by line QR. What is the deflection angle of the electron? A 6 12o B 38o C 52o D 78o A 1.200 m light beam carries a mass M at one end. A light cord affixed to the wall is supporting the beam at 0.805 m from the wall as shown. Which of the following correctly represents the work done by the force F in stretching the wire to Q and the corresponding elastic potential energy stored in the wire? 1.200 m light cord wall 30 light beam Work done by the force F in stretching the wire to Q Elastic potential energy stored in the wire A Y+X X B Y Z C Y+Z Z D Y+Z Y+Z 0.805 m M What is the maximum mass M that can be supported if the maximum allowed tension in the cord is 300 N? A 10.3 kg © Hwa Chong Institution B 17.8 kg C 20.5 kg D 30.5 kg 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 7 9 8 A car moves with the same speed over each of the 4 bridges shown below. In which of the bridges is the force which the car exerts on the bridge the smallest? 11 M and N are two stars of equal mass. The points P and Q are equidistant from M and N. M B A Px xQ bridge bridge N Which graph best shows the variation in the gravitational potential due to the stars between P and Q? A D C P bridge B Q 0 P Q 0 bridge C P D Q 0 10 An isolated spherical planet has mass M and radius R. The acceleration of free fall on the surface of the planet is g. What is the work done to move a small mass m from the surface to a height 2R above the surface? A 0.50 mgR B 0.67 mgR C mgR D 2.0 mgR © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 P Q 0 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 9 10 14 12 A fixed mass of ideal gas has pressure of 1.2 105 Pa at 50 °C. After a sudden compression, its pressure increases to 6.0 105 Pa at 200 °C. What is the ratio of the compressed volume to the original volume? A 0.80 B 0.29 C 0.14 D The amplitude of oscillations of a pendulum in a clock below is observed to decay with time. To maintain the amplitude, an electric motor is attached to the pivot of the pendulum to drive it periodically. clock pivot of the pendulum 0.05 pendulum 13 Consider the following: As the frequency f of the periodic force provided by the motor varies, the amplitude of oscillations vary with f as shown. S: 1 kg of ice at 0 °C L1: 1 kg of water at 20 °C L2: 1 kg of water at 40 °C G: 1 kg of steam at 100 °C amplitude X Which of the following statements is false? A L2 contains molecules with higher average kinetic energies than L1. B S has higher potential energy than G. C There is positive work done on G when G condenses. The amount of thermal energy S must gain in order to melt is less than the amount of thermal energy G must lose in order to condense. D driving frequency 0 Over the years, the friction in the pivot increased. Which of the following would be the new graph Y showing the variation of amplitude with f? A B Amplitude Amplitude Y X X Y f 0 C D Amplitude f 0 Amplitude X X Y 0 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution Y f 0 f 9749 / 01 / C2 Prelim 2019 11 15 12 16 A wave is travelling on a string in the x-direction. Which region of the electromagnetic spectrum includes waves with a frequency of 107 MHz? Fig. (a) and Fig. (b) show the variation with distance x of the displacement y of the string. A infra-red waves Fig. (a) corresponds to time t = 0.00 s while Fig. (b) corresponds to time t = 0.20 s. B radio waves 17 C ultraviolet waves D X-rays Two sheets of polaroid P and Q are placed in front of a double slit such that their directions of polarization are parallel to each other. When unpolarised light is incident normally on the double slit, the central bright fringe at X has an amplitude 2A. polaroid P unpolarised light Fig. (a) X polaroid Q What is the amplitude at X when polaroid P is turned through an angle of 60°? A 18 Which of the following is correct about the speed of the wave and the phase difference between A and B? 0.16 0.5 B 0.16 0.25 C 6.8 0.5 D 6.8 0.25 © Hwa Chong Institution 1.5A C 1.7A D 2A A parallel beam of monochromatic light of wavelength is incident normally on a diffraction grating. The angle between the directions of the two second-order diffracted beams is . A sin phase difference / radians A B What is the spacing of the lines on the grating? Fig. (b) speed / m s-1 0.5A 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution B sin 2 C 2 sin D 2 sin 2 9749 / 01 / C2 Prelim 2019 13 19 14 Two ions A and B, at a distance of 4.0 pm apart, are linked to form a molecule. They are situated between a pair of charged parallel plates placed a distance of 0.10 cm apart. The left plate has a potential of 2.0 × 102 V and the right plate is earthed. The line joining A and B is at an angle of 30° to the direction of the electric field as shown in the diagram below. 21 A thin rectangular sheet of metal of uniform thickness and of length 2x and width x is connected to 2 another square sheet of the same metal of the same thickness, which has a resistance of 8.0 Ω measured between opposite edges. 2.0 × 102 V + x 2x A +2e + J + 4.0 pm + 30° - 2e + x/2 K (not to scale) What is the resistance between edges J and K? B A 0.10 cm 6.4 Ω B 16 Ω C 32 Ω D 40 Ω What is the torque on the molecule AB? 22 A 20 1.3 × 1025 N m B 2.2 × 1025 N m C 2.6 × 1025 N m The graph plots current I against potential difference V for a filament lamp. D 5.1 × 1025 N m An alpha particle travels through a uniform electric field of field strength E. It enters the field with velocity v and then travels a distance x in a direction opposite to the field, as shown. path of -particle What are the correct resistance values at 1 V and 6 V potential difference? resistance at 1 V Given that e is the elementary charge, u is the unified atomic mass constant. What will be the speed of the alpha particle when it leaves the field? A B C D v eEx 2u v2 eEx 2u resistance at 6 V A less than 1.0 1.7 B greater than 1.0 1.7 C less than 1.0 4.0 D greater than 1.0 4.0 eEx v u v2 © Hwa Chong Institution eEx u 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 15 23 16 A cell of e.m.f. 12 V is connected across four similar bulbs A, B, C and D. 24 The bulb D has a broken filament. Voltmeters V1 and V2 of infinite resistance are placed in the circuit as shown below. B A D 60 A C V2 V1 12 V 60 A Fig. a Which of the following correctly shows the voltmeter readings? Voltmeter V1 / V Voltmeter V2 / V 0 0 A B 0 12 C 12 0 D 8 4 60 A Fig. b The U-tube shown above contains liquid sodium of density 960 kg m-3. Electrodes are set into the upper and lower faces of the horizontal section and a current of 60 A is sent through the liquid as shown in Fig. a. When a uniform magnetic field is applied as shown in Fig. b, the liquid in the left arm rises by 1.0 cm while the liquid in the right arm lowers by 1.0 cm. What is the magnetic flux density of the applied magnetic field? A © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019 0.013 T © Hwa Chong Institution B 0.025 T C 0.031 T D 0.063 T 9749 / 01 / C2 Prelim 2019 18 17 25 Two conducting rods EF and GH can slide along two parallel copper bars in a uniform magnetic field B perpendicular to the plane as shown. G E v In an experiment to demonstrate the photoelectric effect, light of intensity L and frequency f is incident on a metal surface. The maximum photoelectric current is I and the stopping potential is VS. What change, if any, will occur in the maximum photoelectric current and the stopping potential if light of the same intensity L but of frequency 2f is incident on the surface? F 28 B Maximum photoelectric current Stopping potential A I greater than 2VS B less than I greater than 2VS C I equal to 2VS D less than I equal to 2VS H 29 If rod EF is given an initial speed v to move to the left, rod GH will Which of the following statements is incorrect? In an alpha decay of a stationary nucleus, 26 A move to the right. A the daughter nucleus and the alpha particle always move off in opposite directions. B move to the left. B total kinetic energy is not conserved. C move to the right first, then to the left. C the parent nucleus has a larger mass defect than the daughter nucleus. D move to the left first, then to the right. D the parent nucleus has a larger binding energy per nucleon than the daughter nucleus. A rectangle coil of 800 turns has an area of 0.050 m2. It is placed at right angles to a magnetic field of flux density 4.0 x 10-5 T. It is then rotated through 180 in 0.20 s. The average emf induced in the coil is A 27 0.000 V B 0.016 V C 0.025 V D 30 The table below shows the count-rate recorded by a Geiger-Müller counter at a point in a laboratory at various times, with and without a radioactive source in position. 0.046 V time / days 10 30 90 An alternating voltage is connected to a resistor of resistance 5.0 Ω. V/V 20 From these readings, what is the half-life of the source? sinusoidal A 0 10 20 count rate / s-1 with source without source 60 20 30 20 20 20 30 40 50 10 days B 15 days C 20 days D 30 days t / ms 60 -10 END OF PAPER What is the mean power dissipated by the resistor? A 16 W © Hwa Chong Institution B 27 W C 120 W D 800 W 9749 / 01 / C2 Prelim 2019 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2019