2020 RI Prelims H2 Phy Paper 1 QP

This document consists of 16 printed pages. © Raffles Institution 9749/01 [Turn over RAFFLES INSTITUTION 2020 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 25 September 2020 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 corr ect 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 Data speed of light in free space c  3.00 × 108 m s1 permeability of free space 0  4   107 H m1 permittivity of free space 0  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 m2 kg2 acceleration of free fall g  9.81 m s 2   Formulae uniformly accelerated motion s  21 2ut at 2v  2 2ua s work done on/by a gas W  p V 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 sinx t velocity of particle in s.h.m. v  0 cosvt  22 0x x  electric current I  Anvq resistors in series R  12 ...RR resistors in parallel 1/ R  1211 . . .RR electric potential V  4 Q r alternating current/voltage x  0 sinx t 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 expx t decay constant   1 2 ln2 t

3 © Raffles Institution 9749/01 [Turn over 1 The Planck length is hypothesised to be the smallest possible length at which current physical laws still apply. It is related to the following fundamental constants: reduced Planck constant 2h  , the gravitational constant G and the speed of light c. Which expression could be correct for the Planck length? A 3 G c  B 12 3 G c    C 13 3 G c    D 13 2 G c    2 A physical quantity P is described by the relation 21 2 2 3 4Pa b c d  . If the percentage errors in the measurements of a, b, c and d are 4%, 2%, 6% and 5% respectively, what is the percentage error in P? A 4% B 8% C 22% D 44% 3 The diagram shows the variation with time of the displacement of two cars M and N. Which statement is incorrect? A Car M overtakes car N at time t. B Throughout the motion, both cars are accelerating. C At time t, the average velocities of both cars are equal. D At time t, the rate of change of displacement of car N is less than that of car M. car M car N displacement time t

4 © Raffles Institution 9749/01 4 A stone is thrown horizontally from the t op of a cliff with an initial momentum p and hits the ground at an angle  to the horizontal. The path of the stone from the cliff to the ground is as shown in the diagram. Ignoring the effects of air resistance, which of the following expressions gives the change in the momentum of the stone from the point of launch to the point it hits the ground? A p B 2p C p sin  D p tan  5 In a factory, identical boxes are placed onto the start of a conveyor belt at an average rate of 2.5 kg s–1 and removed at the end of the belt at the same rate. In order to keep the belt moving at a constant speed of 0.80 m s –1, what is the horizontal force that must be applied to the belt? A 0 N B 1.0 N C 1.6 N D 2.0 N cliff ground  path of stone p

5 © Raffles Institution 9749/01 [Turn over 6 The diagram shows a pyramid partially submerged and floating in water. Which statement is incorrect? A The depth of submersion depends on the orientation with which the pyramid is floating. B The total upthrust remains the same when a liquid of higher density is added to the water. C The pressure difference between the surface of the water and the lowest point of the p yramid remains the same when it is made to float inverted. D If another object of the same density as the pyramid is placed in the water, the ratio of the volume of the object to the volume of the water it displaces is the same as that for the pyramid. 7 A rock of mass 0.80 kg is project ed horizontally with a speed of 1.2 m s 1 from the top of a hill. The rock falls through a vertical distance of 10 m before hitting the ground with a speed of 4.0 m s1. What is the energy lost by the rock to the surroundings during its fall? A 5.7 J B 39 J C 73 J D 79 J 8 A toy car of mass 70 kg is moving at a constant velocity of 20 m s1 up a track that is inclined at an angle of 30o to the horizontal. A constant resistive force of 120 N acts on the toy car throughout its motion. What is the power supplied by the motor of the toy car? A 2400 W B 4500 W C 9300 W D 16000 W pyramid water

6 © Raffles Institution 9749/01 9 A car moves from points P to Q along a horizontal semicircular path with constant speed. The radius of the path is 200 m and the time taken to complete the trip is 30 s. Which row shows the ma gnitudes of the linear speed and average velocity of the car? linear speed / m s1 average velocity / m s 1 A 21 13 B 21 21 C 42 13 D 42 21 10 A car moves over bridges of different curvatures at a constant speed. Which of the following shows the magnitudes of the forces the car exerts on the bridges in increasing order? A PQRS B PQSR C QPSR D SPQR 200 m P Q bridge P bridge Q bridge S bridge R

7 © Raffles Institution 9749/01 [Turn over 11 A satellite orbits around the Earth with a linear speed of v. The gravitational potential of that orbit is 25 MJ kg1. The thrusters of the satellite are then fired and it now moves to a new orbit where the gravitational potential is 16 MJ kg1. What is the linear speed of the satellite in the new orbit? A 4 5 v B 16 25 v C 5 4 v D 25 16 v 12 Points P and R are points on the surfaces of Planets X and Y respectively. The graph shows how the gravitational potential  along the line PR varies with distance from the centre of Planet X. At point Q the gravitational potentia l is maximum. Both planets are approximately the same size. An object of mass 5.0 kg is projected from the surface of Planet X towards Planet Y along