2023 RI H2 Physics Prelims P1 Questions

RAFFLES INSTITUTION 2023 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice 9749/01 September 2023 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 name, class and index number on the Answer Sheet in the spaces provided. Shade your index number on the Answer Sheet. 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 separate 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 approved scientific calculator is expected, where appropriate. This document consists of 16 printed pages.

2 © Raffles Institution Data speed of light in free space c = 81 3.00 10 m s −  permeability of free space 0 = 71 4 10 H m −−  permittivity of free space 0 = 12 1 8.85 10 F m −−  ( )( ) 91 1 36 10 F m −−  elementary charge e = 19 1.60 10 C −  the Planck constant h = 34 6.63 10 J s −  unified atomic mass constant u = 27 1.66 10 kg −  rest mass of electron me = 31 9.11 10 kg −  rest mass of proton mp = 27 1.67 10 kg −  molar gas constant R = 1 18.31 J K mol − − the Avogadro constant NA = 23 16.02 10 mol − the Boltzmann constant k = 23 11.38 10 J K − − gravitational constant G = 11 226.67 10 N m kg − − acceleration of free fall g = 29.81 m s− 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  = 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  velocity of particle in s.h.m. v = 0 cosvt  22 0xx=  − electric current I = Anvq resistors in series R = 12 RR++ resistors in parallel 1/R = 1/R1 + 1/R2 + …. electric potential V = 4 Q r  alternating current/voltage x = 0 sinxt  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 expxt − decay constant  = 1/2 ln2 t

3 © Raffles Institution [Turn over 1 A vector F can be resolved into two perpendicular components F1 and F2. The angle between F and F2 is . How do the magnitudes of F1 and F2 change as  is increased from 0 to 90? F1 F2 A increase increase B increase decrease C decrease increase D decrease decrease 2 Three paths of a kicked football are shown. Ignoring the effects of air resistance, which of the following statements is not correct? A The initial speed for path Z is the largest. B The three paths have the same time of flight. C The vertical component of the initial velocity for path X is the largest. D The horizontal component of the initial velocity for path X is the smallest.  F F1 F2 X Y Z

4 © Raffles Institution 3 Two forces F1 and F2 are applied to an object initially at rest. F1 is constant while F2 acts in the opposite direction of F1 with a magnitude that is proportional to the square of the speed of the object. Which statement best describes the motion of the object? A Its speed will increase from zero to a maximum. B Its speed will increase from zero to a maximum and then decrease. C Its acceleration will increase from zero to a maximum. D Its acceleration will increase from zero to a maximum and then decrease. 4 A uniform bar PQ is hinged at a vertical wall at end P and tied to a string at end Q. Which arrow best represents the direction of the force exerted by the wall on the bar? 5 A container is filled with oil and water. The oil has a mass of 0.40 kg and density 750 kg m −3. The water has a mass of 0.30 kg and density 1000 kg m−3. What is the pressure exerted by the oil and water at point P on the base of the container? A 5.7  102 Pa B 9.6  102 Pa C 1.5  103 Pa D 1.0  105 Pa ceiling wall string Q bar A B P D C 12.0 cm 6.0 cm oil water area of base 0.012 m2 P 11.0 cm

5 © Raffles Institution [Turn over 6 The variation with force F of the extension x of a spring is shown in the figure below. Which area represents the work done in stretching the spring from x1 to x2? A P + Q B Q C R + S D S 7 Two bodies, P and Q, of masses 3.0 kg and 4.0 kg respectively, are connected by a light cord passing over a light, frictionless pulley. P is held at rest on a rough slope inclined at 30° to the horizontal as shown. When P and Q are released, P experiences a constant frictional force of 2.5 N. What is the total kinetic energy of P and Q when P has travelled 1.5 m up the slope? A 11 J B 18 J C 33 J D 41 J 8 A small ball of mass 0.040 kg is attached to a light string and rotat es in a vertical circle of radius 0.30 m. When the ball is vertically above the centre of the circle, the tension in the string is 1.2 N. What is the centripetal acceleration of the ball when it is vertically below the centre of the circle? A 40 m s−2 B 59 m s−2 C 69 m s−2 D 79 m s−2 0.30 m ball mass 0.040 kg F / N x / m x2 x1 S Q R P 0 Q 30

6 © Raffles Institution 9 The diagram shows two stars, X and Y and 5 points, O, P, Q, R and S. O is the midpoint of the line joining the centres of X and Y. P and R are on the line joining the centr es of X and Y and are at the same distance from the centres of X and Y respectively. Q and S are on the perpendicular bisector of the line joining P and R and are at the same distance from O. A spacecraft travels with constant acceleration in its direction of travel between 2 points. Graphs G 1, G 2 and G 3 show the possible variations in the magnitude of the resultant gravitational field strength g due to the stars at the position of the spacecraft with time t. Which graphs correspond to the motions of the spacecraft from S to Q and P to R? S to Q P to R A G1 G2 B G1 G3 C G2 G1 D G2 G3 P R Q S X Y O g 0 t G3 g 0 t G2 g 0 t G1

7 © Raffles Institution [Turn over 10 Point P is at the centre of a uniform sphere M. The work done by an external force in bringing a mass of 1.0 kg from infinity to point Q is −2.0 J. The ratio PQ 1 is QR 3 . What is the work done by an external force to bring a mass of 3.0 kg from Q to R? A −18 J B −4.5 J C 4.5 J D 18 J 11 The two graphs below are for the motion of a body undergoing simple harmonic motion. What could be represented by the quantities P and Q? P Q A acceleration displacement B acceleration velocity C displacement velocity D potential energy velocity R P M Q P Q

8 © Raffles Institution 12 The total energy of a mass which undergoes simple harmonic motion on a vibrating pl