2023 HCI H2 PH Prelim P1 QP

This paper consists of 19 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 2 CANDIDATE NAME CT GROUP 22S TUTOR NAME PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 9749/01 20 Sep 2023 60 minutes INSTRUCTIONS TO CANDIDATES Write in soft pencil. 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 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.

2 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 1 Which of the following are the correct units of magnetic flux? SI unit SI base units A T kg s-2 A-1 B T kg m2 s-2 A-1 C Wb kg s-2 A-1 D Wb kg m2 s-2 A-1 2 A point source is emitting a steady sound wave uniformly in all directions. A sound intensity meter placed at a distance (2.0  0.1) m away from the source detects an intensity of (0.25  0.05) W m-2. What is the uncertainty in calculating the power of the source? A 0.3 W B 1 W C 3 W D 4 W 3 A car starts from rest and moves along a straight road. The graph shows the variation with time t of its acceleration a during part of its journey. At which points on the graph does the car have its greatest velocity and greatest displacement? greatest velocity greatest displacement A V W B W Z C X Y D X Z a W 0 t V X Y Z 0

4 4 A block is placed on the floor of a lift that moves upwards. When the lift is slowing down, the magnitude of the force exerted on the block by the floor is always A equal to the magnitude of the weight of the block. B less than the magnitude of the weight of the block. C greater than the magnitude of the weight of the block. D different from the magnitude of the force exerted on the lift floor by the block. 5 An object hangs by means of two cords around two rods, as shown in the diagram below. The object is held in equilibrium by the weights W1 and W2, such that it is nearer to W2. The object weighs 10 N. There is negligible friction between the rods and cords. Which pair of weights gives an angle θ of 90o? W1 / N W2 / N A 4.0 6.0 B 5.0 5.0 C 6.0 8.0 D 8.0 6.0 W1 W2

5 6 A metal cylinder, totally immersed in water, is hung from a newton meter. The cylin der, of height L, is slowly raised vertically by lifting the newton meter. Drag forces are assumed to be negligible. As the base of the cylinder moves from line X in the water to line Y above the surface of the water, the reading R on the newton meter is recorded. Assume that the velocity of the cylinder is constant. Which graph best shows the variation of R with the distance d of the base of the cylinder from line X? A B C D Y X L newton meter water surface metal cylinder

6 7 A rubber band is stretched and then relaxed to its original length. The diagram shows the force-extension graph for this process. As the force is increased, the curve follows the path OPQ to extension e. As the force is reduced, the curve follows the path QRO to return to zero extension. The area labelled X is between the curves OPQ and QRO. The area labelled Y is bounded by the curve QRO and the horizontal axis. Which statement about the process is correct? A X is the elastic potential energy stored in the rubber band when it is stretched to e. B (X + Y) is the minimum energy required to stretch the rubber band to e. C (Y − X) is the net work done on the rubber band during the process. D Y is the energy which heats the rubber band as it is stretched to e. 8 A section of highway which has a circular curve, is inclined at an angle  to the horizontal. When a car is moving at a particular speed v, no frictional force along the road is needed to navigate this bend. Which of the following correctly describes the directions of the frictional forces on the car along the incline? when speed is below v when speed is above v A upwards along the incline upwards along the incline B upwards along the incline downwards along the incline C downwards along the incline downwards along the incline D downwards along the incline upwards along the incline X Y extension 0 0 O e force P R Q 

7 9 A satellite is orbiting the Earth at a constant angular velocity. The gravitational force on the satellite is FG. The centripetal force required to maintain the satellite in orbit is FC. Which diagram shows the force, or forces, acting on the orbiting satellite? A B C D 10 Mars has a diameter approximately 0.5 times the diameter of the Earth, and the mass of Mars is about 0.1 times the mass of the Earth. The gravitational potential at the Earth’s surface is -63 MJ kg-1. What is an approximate value for the gravitational potential at the surface of Mars? A -13 MJ kg-1 B -25 MJ kg-1 C -95 MJ kg-1 D -320 MJ kg-1 11 Cooling water enters the heat exchanger in the turbine hall of a nuclear power station at 6.0 °C and leaves at 14.0 °C. The rate of heat removal by the water is 6.7 x 109 J per minute. The specific heat capacity of water is 4200 J kg-1 K-1. What is the rate of water flow? A 9 -16.7 10 60 kg s4200 8.0   B 9 -16.7 10 kg s4200 8.0 60   C -1 9 4200 8.0 kg s6.7 10 60   D -1 9 4200 8.0 60 kg s6.7 10   Earth FG Earth FG FC Earth FG FC Earth FG FC

8 12 A narrow tube, closed at one end, contains a column of dry air that is trapped by mercury. Which diagram best shows the variation of the length l of the air column with the angle  of the tube to the vertical? A B C D mercury air l  0 0 l 180 360  / 0 0 l 180 360  / 0 0 l 180 360  / 0 0 l 180 360  /