2019 RI Prelims Paper 1 QP

This document consists of 14 printed pages. © Raffles Institution [Turn over RAFFLES INSTITUTION 2019 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice 9749/01 30 September 2019 1 hour Additional Materials: Multiple Choice Answer Sheet 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 t he Answer Sheet 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 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 appropriate scientific calculator is expected, where necessary.

2 © Raffles Institution 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  121 1 ...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 [Turn over 1 What is a reasonable estimate for the volume of a typical basketball? A 70 cm3 B 700 cm3 C 7000 cm3 D 70000 cm3 2 An elevator is moving downwards with a constant downward acceleration of 3.5 m s 2. A ball, held 2.0 m above the floor of the elevator and at rest with respect to the elevator, is released. How long does it take for the ball to reach the floor of the elevator? A 0.57 s B 0.64 s C 0.80 s D 1.1 s 3 A particle is accelerated from rest by a constant force. Which of the following graphs best represents the momentum p of the particle as a function of distance d travelled? A B C D p d 0 p d 0 p d 0 p d 0

4 © Raffles Institution 4 An object M of mass 5.0 kg is suspended from three cables A, B and C as shown below. What is the tension in cable B? A 32 N B 34 N C 49 N D 52 N 5 An L-shaped tube is sealed at both ends and tilted at angle  as shown. One arm contains nitrogen gas at pressure P and the other arm contains helium gas. The gases are separated by mercury of density  with dimensions as shown. What is the pressure of the helium gas? A coszg  B Px g  C sinPx g   D   sinPx y g   6 An electric motor lifts a 350 kg mass through a vertical height of 110 m in 3.0 minutes at a constant speed. During the lifting process, a resistive force of 1000 N acts constantly on the mass. What is the power delivered by the electrical motor? A 1.5 kW B 2.1 kW C 2.7 kW D 11 kW M 20 ⁰ 50 ⁰ A B C helium nitrogen at pressure P mercury  z x y

5 © Raffles Institution [Turn over 7 A mass is attached to the lower end of a vertical spring and supported such that the spring is unstretched. The mass is then released from rest. It oscillates and eventually comes to rest. Which of the following correctly relates the c hanges in the energy of the spring-mass system which may occur during this process? A loss in gravitational potential energy = loss in elastic potential energy + gain in kinetic energy + energy dissipated as heat B gain in gravitational potential energy = gain in elastic potential energy + gain in kinetic energy + energy dissipated as heat C loss in gravitational potential energy + energy dissipated as heat = loss in elastic potential energy + gain in kinetic energy D loss in gravitational potential energy = gain in elastic potential energy + energy dissipated as heat 8 A Ferris wheel takes 30 minutes to complete one revolution. The diameter of the wheel is 150 m. What is the linear speed of the wheel? A 0.042 m s1 B 0.26 m s1 C 0.52 m s1 D 16 m s1 9 An aircraft is performing a hor izontal circular turn at a constant speed of 700 m s 1 with a turning radius of 85 km. What is the ratio of the centripetal force to the weight of the aircraft? A 0.00084 B 0.59 C 1.7 D 5.8 10 A satellite orbits the Earth at an altitude of 200 km. Assume that the radius of the Earth is 6400 km, the gravitational force on the satellite compared with that when it is at the Earth’s surface is approximately A less by 6% B less by 3% C more by 3% D more by 6%

6 © Raffles Institution 11 Which of the following statements regarding the gr avitational field strength and acceleration of free fall at the surface of the Earth is true? A The gravitational field strength is constant over the surface of the Earth but the acceleration of free fall varies from one location to another. B The acceleration of free fall is larger at the Equator than at the North and South Poles. C The gravitational field strength at the Equator can be obtained by measuring the weight of a one-kilogram mass. D The gravitational field strength is numerically greater than or equal to the acceleration of free fall. 13 A well-lagged copper calorimeter of mass 57 g is f illed with 250 g of paraffin. The calorimeter and paraffin are both initially at 25 C. What will be the increase in the temperature of the paraffin if a lead cube of mass 400 g and temperature 150 C is placed in the paraffin? heat capacity of copper calorimeter = 21.7 J K1 specific heat capacity of paraffin = 2130 J kg1 K1 specific heat capacity of lead = 130 J kg1 K1 A 8.93 C B 9.21 C C 10.7 C D 12.9 C 12 Two vessels A and B of volume V and 8 V respectively are connected by a tube of negligible volume and contain an ideal gas at an initial temperature of 10 C. Vessel A initially contains n moles of the ideal gas. Its temperature is then raised to 80 C while the temperature of B is maintained at 10 C. How many moles of gas will be transferred between the vessels when steady state is reached? A 0.18 n B 0.21 n C 0.82 n D 0.86 n

7 © Raffles Institution [Turn over 14 The variation with time of the displacement of a particle of mass 2.0 kg undergoing simple harmonic oscillations is shown below.