VJC 2022 Prelim P1 Guide

1 PHYSICS Higher 2 Paper 1 Multiple Choice Additional Materials: Multiple Choice Answer Sheet 9749/01 2.30 pm- 3.30 pm 1 Hour READ THESE INSTRUCTIONS FIRST Write in soft pencil (2B or softer). Do not use staples, paper clips, highlighters, glue or correction fluid. Write your name, CT group and shade your index number on the Answer Sheet provided. HOW TO SHADE YOUR INDEX NUMBER: Eg. If your class is 21S43, index number is 06, then shade 2140306. Check that you have shaded correctly. 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 Answer Sheet. Read the instructions on the Answer Sheet very carefully. 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. This document consists of 17 printed pages. VICTORIA JUNIOR COLLEGE 2022 JC2 PRELIMINARY EXAMINATIONS

2 Data speed of light in free space, c = 3.00 × 108 m s-1 permeability of free space, µo = 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 mol-1 K-1 the Avogadro constant, NA = 6.02 × 1023 mol-1 the Boltzmann constant, k = 1.38 × 10-23 J K-1 gravitational constant, G = 6.67 × 10-11 N m2 kg-2 acceleration of free fall, g = 9.81 m s-2

3 Formulae uniformly accelerated motion, s = ut + (½) at2 v2 = u2 + 2as work done on/by a gas, W = pV hydrostatic pressure, p = gh gravitational potential, r GM−= temperature 15.273// += CTKT pressure of an ideal gas 2 3 1 cV Nmp= mean translational kinetic energy of an ideal gas molecule kTE 2 3= displacement of particle in s.h.m., x = xo sin  t velocity of particle in s.h.m., )( cos 22 xx tvv o o −= =   electric current AnvqI = resistors in series, R = R1 + R2 + … resistors in parallel, 1/R = 1/R1 + 1/R2+ … electric potential, V = Q/4or alternating current/voltage, x = xo sin  t Magnetic flux density due to a long straight wire d IB   2 0= Magnetic flux density due to a flat circular coil r NIB 2 0= Magnetic flux density due to a long solenoid nIB 0= radioactive decay, x = xoexp(-t) decay constant, 2 1 2ln t=

4 1. For electromagnetic induction, there is a physical quantity called self-induction, which is defined as e.m.f. induced in coil by a changing currentself inductance= rate of change of current through coil What are the base units of self-inductance? A H B kg m2 A s-2 C J s D kg m2 s-2 A-2 2. A light rod, hinged at its lower end, has a horizontal force F acting at its upper end and a reaction force R acting at its lower end. A tension T acts in the rope on the beam. Which of the vector diagram below showing the forces acting on the beam is correct? A C B D F R T F R T F T R F T R F

5 3. The diagram below shows two spheres undergoing a head-on elastic collision. Sphere A has mass 2M while sphere B has mass M. Both are moving with speed v towards each other. Which of the following statements is incorrect? A The two spheres cannot come to rest at the same time. B The total kinetic energy of both spheres is conserved throughout the collision. C The magnitude of the change in momentum for each sphere is the same after the collision. D The force exerted by sphere A on B is equal and opposite to the force exerted by B on A during the collision. 4. An object is pushed from rest in a straight line by a variable force F along a rough ground. The ground exerts a constant frictional force of 5 N throughout the motion of the object. The variation with displacement x of the force F is shown below. The magnitude of the kinetic energy of the object when it has travelled 10 m is the area A K B K + L C K + L + M D L + M 5. A motor of power 10 W is used to lift a load of 20 N. The efficiency of the motor is 25 %. How long does it take to lift the load through a vertical distance of 0.50 m? A 0.040 s B 0.25 s C 4.0 s D 39 s 2M M A v B v

6 6. A bob is tied using an inelastic string to a fixed set of brass weights . It is then made to execute circular motion in a horizontal plane, so that the string traces out a cone, as shown in the diagram below. The string is passed through a smooth vertical glass tube so that the length l of the string from the top of the glass tube to the bob can vary freely as the speed of the circular oscillation changes. Wha t is the relationship between length l and the frequency f of the circular motion? A 2lf B lf C 1l f D 2 1l f  7. The table below gives the values for the gravitational potential at various points in the gravitational field of a celestial body. Distance from surface of body / km Potential / kJ kg-1 0 −784.0 360 −649.6 370 −633.3 380 −617.0 Infinity 0 What is value of the gravitational acceleration at a height of 370 km of this celestial body? A 9.83 m s-2 B 1.63 m s-2 C 19.73 m s-2 D 6.33 m s-2 Bob l

7 8. A satellite is shifted from a stable orbit to another orbit which is higher. Which one of the following quantities increases? A Gravitational force B Gravitational potential energy C Linear speed D Kinetic energy 9. The graph shows the variation of temperature T against time t of a certain substance. Originally, it is in a liquid state at t = 0 s. Heat is removed from it at a constant rate until it becomes a solid. Which of the following could be correct? specific heat capacity of liquid/J kg-1 K-1 specific heat capacity of solid/J kg-1 K-1 A 1500 3000 B 1800 900 C 2500 2500 D 4500 3000 300 400 200 T/K 0 50 100 150 200 250 t/s

8 10. The two curves shown below are two different isothermal curves for a fixed mass of an ideal gas. What is the ratio 2 1 r.m.s. speed of the molecules at temperature ?r.m.s. speed of the molecules at temperature T T A 2 B 2 C 22 D 4 11. The diagram below shows a displacement -time graph of a body performing simple harmonic motion. At which points, U, V, W, X, Y or Z, are the body travelling and accelerating in the opposite direction? A U and Y B V and X C U and Z D W and Z displacement time Z Y X W V U

9 12. A mass of 20 g is oscillating vertically in simple harmonic motion. The displacement of the mass is given by the equation x = 6.0 x 10-3 sin (3t) where x is in metres and t in seconds. What is the magnitude of the maximum force acting on the mass? A 0.011 N B 0.50 N C 1.8 N D 11 N 13. Two wave particles A and B are on the same wave. The graph below shows how their displacements y vary with time t: What can be said about A and B? A A leads B by 45o B A lags B by 45o C A leads B by 90o D A lags B by 90o 14. A wave has an