HCI 2022 Prelim P1

This paper consists of 16 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 2 CANDIDATE NAME CT GROUP 21S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 9749/01 20 September 2022 60 minutes INSTRUCTIONS TO CANDIDATES Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in the spaces provided. There are thirty questions on this paper. Answer all questions. For each question, there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the separate 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. The use of an approved scientific calculator is expected, where appropriate.

2 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 Data Formulae speed of light in free space, c = 3.00  10 8 m s -1 permeability of free space, o = 4  10 -7 H m -1 permittivity of free space, o = 8.85  10 -12 F m -1  (1/(36))  10 -9 F m -1 elementary charge, e = 1.60  10 -19 C the Planck constant, h = 6.63  10 - 34 J s unified atomic mass constant, u = 1.66  10 -27 kg rest mass of electron, me = 9.11  10 -31 kg rest mass of proton, mp = 1.67  10 -27 kg molar gas constant, R = 8.31 J K -1 mol -1 the Avogadro constant, NA = 6.02  10 23 mol -1 the Boltzmann constant, k = 1.38  10 -23 J K -1 gravitational constant, G = 6.67  10 -11 N m 2 kg -2 acceleration of free fall, g = 9.81 m s -2 uniformly accelerated motion work done on / by a gas hydrostatic pressure gravitational potential temperature 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. electric current 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 s = ut + 2 1 at2 v 2 = u 2 + 2as W = p V p = gh r Gm−= T/K = T/ C + 273.15 P = 21 3 Nm cV  kTE 2 3= x = xo sin t v = vo cos t = )( 22 xxo − I = Anvq R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . . r QV o4= x = xo sin  t 2 oμB d=  I 2 oμNB r= I B = onI x = xo exp ( -t ) 1 2 ln2 t =

3 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 1 Which of the following is not a reasonable estimate? A The diameter of a strand of human hair is 80 µm B The volume of an apple is 200 cm3 C The weight of a sheet of A4 paper on Earth is 50 mN D The frequency of light from a green laser is 550 GHz 2 A quantity x was measured multiple times. The number N of measurements giving a value x is plotted against x. The true value of the quantity is x0. Which of the following graphs best represents accurate measurements with poor precision? A B C D

4 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 3 The velocity – time graph for a train starting at one station and stopping at the next station is shown. Another train has half of the initial acceleration but the same maximum speed and the same final deceleration. Which velocity-time graph, on the same scale, shows the motion of this train between the same two stations? A B C D velocity time 0 0 velocity time 0 0 velocity time 0 0 velocity time 0 0 velocity time 0 0

5 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 4 Two objects, A and B, are connected via a light string that runs over a smooth pulley. Their masses are mA and mB respectively. The diagram shows A moving up with velocity vA and B moving down with velocity vB. Which statement is incorrect? A If mA = mB, vA and vB are of the same magnitude. B If mA = mB, vA and vB can only be zero. C mA can be larger than mB. D mA can be smaller than mB. 5 A bowling ball undergoes head-on elastic collision with a stationary bowling pin. The bowling ball’s mass is 5 times that of the pin. Given that the pin’s speed immediately after the collision is 3.33 m s-1, what is the speed of the bowling ball just before the collision? A 1.33 m s-1 B 2.00 m s-1 C 3.33 m s-1 D 4.00 m s-1 6 A thin meter rule is pivoted at its centre. Equal and opposite forces of magnitude 5.0 N are applied to the ends of the ruler, creating a couple as shown. What is the magnitude of the torque of the couple on the ruler when it is at the position shown? A 1.6 N m B 3.2 N m C 3.8 N m D 5.0 N m 5.0 N 140°

6 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 7 A uniform rectangular metal sheet of length 20 cm and weight 10 N is to be suspended from a hook by a light cord XYZ, as shown below. The material used for the cord can support a maximum tension of 20 N before breaking. Determine the minimum length of cord that is required. A 21 cm B 23 cm C 40 cm D 80 cm 8 A constant force F is applied to a stationary object of mass m on a frictionless surface. The object accelerates uniformly to reach a velocity v in time t covering a distance s during this time. Which of the following is the correct expression for the kinetic energy of the object at time t? A Fv B Fvt C Fs D Fst 9 A part in an engine is rotating in a circle of radius 8.0 cm at 3000 revolutions per minute. What is its centripetal acceleration? A 25 m s–2 B 7900 m s–2 C 3.1 x 104 m s–2 D 7.2 x 107 m s–2 10 Two sites are being considered for a rocket launch. Site A is at the equator while site B is nearer to the North Pole. Taking the Earth to be a uniform sphere, which of the following statements is true? A The escape speed for both sites are the same as gravitational potential at both sites are the same. B The escape speed for site A is higher as gravitational potential at site A is larger. C The escape speed for site A is lower as gravitational potential at site A is lower. D The escape speed is independent of the gravitational potential.

7 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2022 11 A satellite of mass m is in a circular orbit around a planet of mass M and radius R. The satellite is traveling at a constant speed v at a height of H above the surface of the planet. What is the total energy of the satellite? A 21 2 GMmmv R− B 21 2 GMmmv RH− + C 21 2 GMmmv R+ D 21 2 GMmmv RH+ + 12 Equal amount of an ideal gas was housed separately in containers A and B. The volume of B is larger than that of A. Gases in both containers were maintaine