2018 RI H2 Physics Prelims P1 QP

This document consists of 17 printed pages. © Raffles Institution 9749/01 [Turn over RAFFLES INSTITUTION 2018 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 25 September 2018 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 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 = 121 1 ...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 = 1 2 ln2 t

3 © Raffles Institution 9749/01 [Turn over 1 The density of a liquid is calculated by measuring its mass and its volume. The measurements taken are as shown. ( ) ( ) ( ) 3 mass of beaker 20 1 g mass of beaker and liquid 70 1 g volume of liquid 10.0 0.6 cm = ± = ± = ± The density of the liquid calculated is 5.0 g cm−3. What is the uncertainty in this value of density? A 0.1 g cm−3 B 0.4 g cm−3 C 0.5 g cm−3 D 2.6 g cm−3 2 A ball released from rest above a hard, horizontal surface undergoes several bounces. The graph shows the variation with time of the velocity of the bouncing ball. The time taken for the ball to first reach the ground after release is t. With each bounce, the ball loses 7 16 of the kinetic energy it has just before the bounce. Assuming air resistance is negligible, which of the following gives the time duration, in terms of t, between points R and S on the graph? A 0.44 t B 0.56 t C 0.66 t D 0.75 t t S R velocity time 0

4 © Raffles Institution 9749/01 3 In a junior tennis match, a player hits an incoming tennis ball such that it leaves his racket horizontally with speed v as shown. The tennis ball is hit at a height of 1.5 m above the ground and 4.0 m from the net. It j ust clears the net, which is 1.1 m high. Neglect the effects of air resistance. What is the value of v? A 7.2 m s–1 B 8.4 m s–1 C 14 m s–1 D 49 m s–1 4 Mass M is dropped gently onto another mass N that is initially sliding on a smooth horizontal surface at constant velocity. After landing, the two masses move forward as one body as shown. Which of the following statements regarding the two masses is incorrect? A The total mechanical energy of the two masses is conserved because they move with the same velocity after the collision. B Mass N slows down during the collision because M exerts a decelerating force on N. C The total horizontal momentum of the two masses is conserved because the resultant horizontal force acting on them is zero. D There is heat produced in the collision because the collision is inelastic. N M Before N M After 1.5 m 4.0 m 1.1 m

5 © Raffles Institution 9749/01 [Turn over 5 Two blocks X and Y, of masses m and 3m respectively, are placed in contact on a smooth horizontal surface. Forces F and 5F are applied on either side of the blocks as shown. What is the magnitude of the force exerted by block X on block Y during their subsequent motion? A 5 F B 3 5 F C 3 4 F D 4 5 F 6 A sphere resting on a smooth inclined plane is tied to a string that loops over a pulley as shown in Fig. (a). The string is slowly pulled until the end connected to the sphere becomes vertical as shown in Fig. (b). At this instant, the forces acting on the sphere are A weight, tension and normal reaction. B weight and tension. C weight and normal reaction. D tension and normal reaction. Y X F pulley direction of pull Initial position Fig. (a) Final position Fig. (b) pulley direction of pull

6 © Raffles Institution 9749/01 7 A uniform rectangular block of dimensions 20 cm by 10 cm and weight 5.0 N is placed on a rough surface inclined at 30° to the horizontal. A force of 1.0 N parallel to the surface is then applied on the block 8.0 cm from its base. Given that the block remains in equilibrium, what is the distance x between the line of action of the normal contact force R exerted by the surface on the block and the centre of the block? A 0.7 cm B 1.8 cm C 2.9 cm D 4.7 cm 8 It takes 4.0 J of work to stretch a spring 10 cm from its unstretched length. Given that the spring obeys Hooke’s Law, what is the additional work required to stretch it a further 10 cm? A 4.0 J B 6.0 J C 12 J D 16 J 9 A simple pendulum of length 1.2 m is swung such that the mass goes round in a uniform circular motion in the horizontal plane. The string makes an angle of 40° with the vertical. What is the speed of the mass in its circular path? A 12.5 m s− B 12.8 m s− C 13.0 m s− D 13.3 m s− 30° 10 cm 8.0 cm 1.0 N R 40° 1.2 m

7 © Raffles Institution 9749/01 [Turn over 10 A satellite is moved from a circular orbit of radius R1 around the Earth to a new circular orbit of radius R2 where R2 > R1. What happens to its gravitational potential energy and kinetic energy? potential energy kinetic energy A increases decreases B decreases decreases C increases increases D decreases increases 11 The ratio of the densities and the ratio of the radii of Planet X to Planet Y are 9 4 and 3 1 respectively. What is the ratio escape speed from the surface of Planet X escape speed from the surface of Planet Y ? A 0.578 B 2.60 C 4.50 D 13.5

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