RI 2023 Y5 Phy T3 CT Sect A QP

© Raffles Institution 9749 RAFFLES INSTITUTION 2023 YEAR 5 TERM 3 COMMON TEST 4 July 2023 Time: 2 hr 15 min H2 PHYSICS RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION RAFFLES INSTITUTION Section A INSTRUCTIONS TO CANDIDATES There are 2 sections in this paper. Section A consists of 14 multiple- choice questions. For each question, four suggested answers are given. You are to choose the most appropriate one and shade your answer on the OMR form, using a soft pencil. You are advised to attempt Section A first. The OMR form will be collected at the end of the first 30 minutes. Section B consists of 7 structured questions. You are to write your answers in the spaces provided. Attempt ALL questions in Sections A and B. This document consists of 8 printed pages.

2 © Raffles Institution 9749 [Turn over Data speed of light in free space c = 3.00 × 108 m s−1 permeability of free space 0µ = 4π × 10−7 H m−1 permittivity of free space 0ε = 8.85 × 10−12 F m−1 = (1/(36π)) × 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 × 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 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 φ = 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 ω velocity of particle in s.h.m. v = 0 cosvt ω 22 0xxω= ±− electric current I = Anvq resistors in series R = 12 RR++  resistors in parallel 1/R = 1211 RR++  electric potential V = 4 Q rε0π alternating current/voltage x = 0 sinxt ω magnetic flux density due to a long straight wire B = 0 2 d µ π I magnetic flux density due to a flat circular coil B = 0 2 N r µ I magnetic flux density due to a long solenoid B = 0nµ I radioactive decay x = ( )0 expxt λ− decay constant λ = 12ln2 t

3 © Raffles Institution 9749 [Turn over Section A (14 marks) 1 The diagram shows the iOLab device you have used to measure various physical quantities in the school laboratory. What is a reasonable estimate for the volume of the iOLab device? A 433.0 10 m−× B 333.0 10 m−× C 233.0 10 m−× D 133.0 10 m−× 2 An equation in fluid dynamics is given as 2 2211 3v gh k φ= +  where v is the speed of water waves, g is the acceleration of free fall, h is the depth of the water and k is the wave number with units 1m− . What is a possible physical quantity for φ ? A length B time C area D a unitless constant

4 © Raffles Institution 9749 [Turn over 3 Two balls X and Y are thrown vertically upwards simultaneously from the top of a hill with the same speed. The variation with time of their velocities are shown. Which statement is correct? A The average air resistance on ball X is smaller than on ball Y before time T but larger on ball X than on ball Y after time T. B The accelerations of both balls are always smaller than the acceleration of free fall. C The accelerations of both balls are the same when their velocities are zero. D Both balls are at the same distance from the top of the hill at time T. 4 An object falls freely with constant acceleration from above three light gates. It is found that it takes a time t to fall between the first two light gates a distance of 1s apart. It then takes an additional time, also t, to fall between the second and third light gates a distance 2s apart. What is the acceleration of the object in terms of 1s , 2s and t ? A ( )21 2 2 ss t − B ( )21 2 2 3 ss t − C ( )21 2 ss t − D ( )21 22 ss t − velocity time T 0 ball X ball Y light gate 1 light gate 2 light gate 3 time taken = t time taken = t

5 © Raffles Institution 9749 [Turn over 5 A closed empty plastic box of mass m that was found submerged in water, was seen rising with an acceleration of 6 g . What mass of sand should be filled in the box so that it moves downwards with an acceleration of 6 g ? Ignore all resistive forces. A 1 5 m B 2 5 m C m D 7 5 m 6 The graph shows the variation with time t of the displacement x of a particle of mass 0.10 kg. What is the impulse on the particle? A 12.0 kg m s −− B 10.20 kg m s −− C 10.20 kg m s − D 14.0 kg m s − 7 A light spring has a force constant of 50 N m–1. It is being pulled by a 1.0 N force on each end, in opposite directions. What is the extension of the spring? A 0 m B 0.010 m C 0.020 m D 0.040 m 0 1 2 3 4 t/ s x/ m 2 4 1.0 N 1.0 N

6 © Raffles Institution 9749 [Turn over 8 A pair of forces with the same magnitude F act on the ends of a rod that is pivoted at its centre. The forces act in opposite directions and are perpendicular to the rod. In which other situation will the same rod experience the same torque about the pivot as the situation above? A B C D 9 A man pulls a block up a rough inclined plane at constant velocity with a rope. Which statement is correct? A The work done against the weight of the block is equal to the gain in gravitational potential energy of the block. B The work done by the force of the rope is equal to the work done against the frictional force by the plane because there is no gain in kinetic energy. C The weight of the block does no work because the displacement of the block is not in the direction of its weight. D The normal contact force from the plane does positive work because it has a component up the slope and the block is moving up the slope. F F pivot F F pivot 2F pivot F F pivot F F pivot

7 © Raffles Institution 9749 [Turn over 10 A speedboat with two engines, each of equal power output, can achieve maximum speed v when both engines are working. The total drag D on the boat when it is travelling at maximum speed is proportional to 2v . What is the maximum speed of the boat when only one engine is working? A B C D 11 P and Q are points on a disc that is rotating with uniform c