2024 RI Prelim H2 Phy Paper 1

This document consists of 15 printed pages. © Raffles Institution 9749/01 [Turn over RAFFLES INSTITUTION 2024 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 25 September 2024 1 hour Additional Materials: OMR Form READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your index number, name and class on the OMR Form in the spaces provided. Shade the appropriate boxes. 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 OMR Form. Read the instructions on the OMR Form 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 appropriate scientific calculator is expected, where necessary.

2 © Raffles Institution 9749/01 [Turn over Data speed of light in free space c = 81 3.00 10 m s −  permeability of free space 0 = 71 4 10 H m −−  permittivity of free space 0 = 12 1 8.85 10 F m −−  = ( )( ) 91 1 36 10 F m −−  elementary charge e = 19 1.60 10 C −  the Planck constant h = 34 6.63 10 J s −  unified atomic mass constant u = 27 1.66 10 kg −  rest mass of electron me = 31 9.11 10 kg −  rest mass of proton mp = 27 1.67 10 kg −  molar gas constant R = 1 18.31 J K mol − − the Avogadro constant NA = 23 16.02 10 mol − the Boltzmann constant k = 23 11.38 10 J K − − gravitational constant G = 11 226.67 10 N m kg − − acceleration of free fall g = 29.81 m s− Formulae uniformly accelerated motion s = 21 2ut at+ 2v = 2 2u as+ work done on / by a gas W = pV hydrostatic pressure p = ρgh gravitational potential  = Gm r− temperature T/K = / C 273.15T + pressure of an ideal gas p = 21 3 Nm cV mean translational kinetic energy of an ideal gas molecule E = 3 2 kT displacement of particle in s.h.m. x = 0 sinxt  velocity of particle in s.h.m. v = 0 cosvt  22 0xx=  − electric current I = Anvq resistors in series R = 12 RR++ resistors in parallel 1/R = 121 1 RR++ electric potential V = 4 Q r  alternating current/voltage x = 0 sinxt  magnetic flux density due to a long straight wire B = 0 2 d   I magnetic flux density due to a flat circular coil B = 0 2 N r  I magnetic flux density due to a long solenoid B = 0n I radioactive decay x = ( )0 expxt − decay constant  = 12ln2 t

3 © Raffles Institution 9749/01 [Turn over 1 The speed v of a liquid leaving a tube depends on the difference in pressure P between the ends of the tube and the density  of the liquid according to the equation n Pvk  =  where k is a unitless constant. What is the value of n? A 1 2 B 1 C 3 2 D 2 2 A micrometer screw gauge is used to measure the diameter s of two cylinders. The measurements of the diameters, with their actual uncertainties, are given as follows: diameter of first cylinder ( )12.78 0.02 mm= diameter of second cylinder ( )16.24 0.03 mm= What is the percentage uncertainty in the difference of the two diameters? A 0.29% B 0.58% C 0.87% D 1.4%

4 © Raffles Institution 9749/01 [Turn over 3 A force is applied on a stationary object at time 0 st = . The graph shows how the acceleration a of the object varies with time t. Which graph shows how the velocity v or displacement s of the object varies with t? A B C D 4 A student is standing on a weighing balance inside an ascending lift. The weighing balance gives a reading in newtons. Which statement about the balance reading is correct? A The reading is less than the student’s weight. B The reading is equal to the student’s weight. C The reading is more than the student’s weight. D The reading can be less than, equal to or more than the student’s weight. t a 0 0 t2 t3 t1 t s 0 0 t2 t3 t1 t s 0 0 t2 t3 t1 t v 0 0 t2 t3 t1 t v 0 0 t2 t3 t1

5 © Raffles Institution 9749/01 [Turn over 5 Two crates of masses 2.0 kg and 3.0 kg, connected by a cable, are lifted by a force of 100 N. What is the tension in the cable between the crates? A 40 N B 51 N C 60 N D 80 N 6 A motorcycle of mass 400 kg is travelling at a speed of 14.5 m s− when it experiences an accelerating force for 1.0 s, followed by a retarding force for 2.0 s as shown. What is the speed of the motorcycle after 3.0 s? A 11.5 m s− B 13.0 m s− C 14.5 m s− D 16.0 m s− 100 N 2.0 kg 3.0 kg cable -800 -400 0 400 0.0 1.0 2.0 3.0 time / s force / N

6 © Raffles Institution 9749/01 [Turn over 7 A cube of density c is floating in two liquids L 1 and L 2 of densities 1 and 2 respectively. Volume V1 of the cube is immersed in L1, and volume V2 of the cube is immersed in L2. (not drawn to scale) What is the ratio 1 2 V V , if 21 3 = and 1 2c = ? A 1 3 B 1 2 C 2 3 D 1 8 A spring of unstretched length L0 is extended to length L1 by an applied force that is increased from zero until F. Upon removal of the force, the spring is damaged and has a new unstretched length L2. The graph shows the variation of the length of the spring with the applied force. Which combination of areas give the work done by the force to extend the spring from L0 to L1 and which area gives the increase in potential energy of the particles in the spring when its unstretched length is increased from L0 to L2? work done by force from L0 to L1 increase in potential energy from L0 to L2 A P + Q Q B R + S Q C P + Q P D R + S P liquid L1 of density liquid L2 of density V1 V2 cube of density F length of spring 0 L0 L2 L1 P Q S R applied force 0

7 © Raffles Institution 9749/01 [Turn over 9 When a car is travelling along a straight road at a constant speed of 172 km h− , the power delivered by its engine is 12 kW. The efficiency of the engine is 30% and each kilogram of petrol produces 40 MJ of energy. What is the total resistive force on the car and the mass of petrol required for a one-hour drive? total resistive force mass of petrol A 170 N 0.32 kg B 600 N 0.32 kg C 170 N 3.6 kg D 600 N 3.6 kg 10 The minute hand on a clock is 1.5 times the length of its hour hand. The average tangential speeds of the tips of the minute hand and the hour hand are mv and hv respectively. What is the ratio m h v v ? A 0.125 B 1.5 C 18 D 90 hour hand tip minute hand tip

8 © Raffles Institution 9749/01 [Turn over 11 The graph shows the variation of the gravitational field strength g between the surface of planet P1 and the surface of planet P2 with distance r from the surface of planet P1. X, Y and Z are points along the line joining the centres of the planets. Which statement about the gravitational po