2017 RI H2 Physics Prelims P1 QP

This document consists of 13 printed pages and 1 bank page. © Raffles Institution 9749/01 [Turn over RAFFLES INSTITUTION 2017 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 26 September 2017 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 µ0 = 4 π × 10−7 H m−1 permittivity of free space ε0 = 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 21 2s ut at= + 22 2v u as= + work done on / by a gas W = p∆V hydrostatic pressure p = ρgh gravitational potential Gm rφ = − temperature T/K = T/°C + 273.15 pressure of an ideal gas 21 3 Nmpc V= mean translational kinetic energy of an ideal gas molecule 3 2E kT= displacement of particle in s.h.m. 0 sinxx t ω= velocity of particle in s.h.m. 0 cosvv t ω= 22 0xxω= ±− electric current I = Anvq resistors in series R = R1 + R2 + . . . . resistors in parallel 1/R = 1/R1 + 1/R2 + . . . . electric potential V = Q/(4πε0r) alternating current / voltage x = x0 sinωt magnetic flux density due to a long straight wire 0 2B d µ π= I magnetic flux density due to a flat circular coil 0 2 NB r µ= I magnetic flux density due to a long solenoid 0Bn µ= I radioactive decay x = x0 exp(−λt) decay constant 1 2 ln 2 tλ =

3 © Raffles Institution 9749/01 [Turn over 1 Which of the following contains only SI base units? A kilogram, metre, mole, ampere B metre, mole, ampere, mass C kelvin, kilogram, coulomb, second D ampere, kelvin, gram, mole 2 Which of the following estimates is not reasonable? A The average density of a car is about 300 kg m−3. B The mass of one sheet of paper in this booklet is about 5 g. C The useful power delivered by a crane in lifting a 1000 kg concrete block is about 104 W. D A typical classroom in RI contains about 3000 moles of air molecules at room temperature. 3 The graph shows the variation with time t of the displacement s of a vehicle moving along a straight road. During which time interval is the acceleration of the vehicle the greatest? 4 A hot air balloon is rising at an angle of 20.0° above the horizontal with a speed of 3.50 m s −1. When it is 300 m above the ground, a ball is projected at an angle of 5.00° above the horizontal with a speed of 10.0 m s−1 relative to the balloon. Air resistance is negligible. What is the time taken for the ball to hit the ground? A 7.61 s B 7.91 s C 7.94 s D 8.03 s A B C D t s

4 © Raffles Institution 9749/01 5 The variation with time t of acceleration a for a 2.0 kg mass moving along a straight line is shown. The change in momentum of the mass in 6.0 s is 30 kg m s−1. What is the value of x? A 3.0 B 5.0 C 6.0 D 10 6 In a perfectly elastic collision between two particles, it is always true that A the initial speed of one particle is equal to the final speed of the other particle. B whatever their initial states of motion, neither particle can be stationary after the collision. C their total momentum is conserved, but some kinetic energy may be lost after the collision. D their relative speed of approach is equal to their relative speed of separation. 7 A uniform cylinder A of radius r and weight 48 N is placed on a rough fl oor. When a cylindrical hole B is drilled through cylinder A, the weight of the remaining portion is 36 N. The centre of B is at a distance of 3 r from the centre of A as shown. A force F is applied horizontally to the top of the cylinder so that the centres of A and B are at the same height from the floor as shown. What is the force F required to keep the cylinder in this equilibrium position? A 2.0 N B 4.0 N C 6.0 N D 12 N a / m s−2 t / s 2x − x x 1 2 3 4 5 6 0 3 r F r A B rough floor

5 © Raffles Institution 9749/01 [Turn over 8 A beaker of fluid has weight Z. A solid object of weight X in air displaces weight Y of the fluid when it is fully immersed in the fluid. An identical solid object is placed at the bottom of the beaker as shown. What is the balance reading? A X + Z B 2Y + Z C X + Y + Z D 2X − 2Y + Z 9 Two objects have masses m1 and m2, and kinetic energies K1 and K2, respectively. If the momentum of mass m2 is two times that of mass m1, the ratio 1 2 K K is equal to A 2 1 m 4m B 2 1 m 2m C 2 1 4m m D 1 2 4m m 10 A positive point charge X i s released from re st a distance d from the centre of a positively charged sphere as shown. Which of the following statements best describes the work done in moving point charge X in time t, if X is a positron and if X is a proton? A The work done on the pos itron is the same as that on the proton because the same force acts on them. B The work done on the positron is the same as that on the proton because of the principle of conservation of energy. C The work done on the positron is more than that on the proton because the positron moves a larger distance than the proton. D The work done on the positron is less than that on the proton because the force acting on the positron weakens more rapidly than that on the proton. balance beaker of fluid solid objects fixed support d sphere X

6 © Raffles Institution 9749/01 11 A car is travelling at a constant speed on a horizontal circular road as shown. Fair is the air resistance on the car. Which of the arrows best represents the horizontal force of the road on the car? 12 Two masses P and Q are connected by a light inextensible string through a smooth hollow tube as shown. When mass Q is swung in a horizontal circle at a constant speed of 2.3 m s−1, mass P remains stationary. If the mass of P is twice the mass of Q, what is radius r of the horizontal circle? A 0.14 m B 0.31 m C 0.93 m D 3.21 m 13 All geostationary satellites lie on the equatorial plane of 0° latitude. There is no geostationary satellite at the other latitudes shown because such a satellite would A require a continuous input of energy to maintain its orbit. B not have a period of 24 hours. C orbit from east to west. D be too heavy. Fair D A