2024 RI Prelim H1 Phy Paper 1 Questions

This document consists of 15 printed pages. © Raffles Institution 8867/01 [Turn over RAFFLES INSTITUTION 2024 Preliminary Examination PHYSICS Higher 1 Paper 1 Multiple Choice Questions 8867/01 25 September 2024 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 working should be done in this booklet. The use of an appropriate scientific calculator is expected, where necessary.

2 © Raffles Institution 8867/01 [Turn over Data speed of light in free space c  8 1 3.00 10 m s   elementary charge e  19 1.60 10 C   unified atomic mass constant u  271.66 10 kg rest mass of electron me  319.11 10 kg rest mass of proton mp  271.67 10 kg the Avogadro constant NA  23 16.02 10 mol  gravitational constant G  11 2 26.67 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 resistors in series R  1 2 R R   resistors in parallel 1/R  1 21 1 R R  

3 © Raffles Institution 8867/01 [Turn over 1 Which of the following is a reasonable estimate? A The weight of a basketball is 6.0 N. B The height of an 80-storey building is 1.0  103 m. C The volume of an orange is 1.5  10−2 m3. D The distance between two adjacent Singapore MRT stations is 1.0  105 m. 2 The speed v of a liquid leaving a tube depends on the difference in pressure P between the ends of the tube and the density  of the liquid according to the equation n Pv k       where k is a unitless constant. What is the value of n? A 1 2 B 1 C 3 2 D 2 3 A micrometer screw gauge is used to measure the diameter s of two cylinders. The measurements of the diameters, with their actual uncertainties, are given as follows: diameter of first cylinder  12.78 0.02 mm  diameter of second cylinder  16.24 0.03 mm  What is the percentage uncertainty in the difference of the two diameters? A 0.29% B 0.58% C 0.87% D 1.4%

4 © Raffles Institution 8867/01 [Turn over 4 To determine the acceleration of free fall, a steel ball is dropped above two light gates as shown. The ball passes light gate 1 and 2 at time t1 and t2, respectively, after release. What is the acceleration of free fall? A  2 1 2h t t B   2 2 1 2h t t C   2 2 2 1 2h t t  D 2 2 1 2 2 h t t     5 The velocity-time graph of a ball released from rest above a floor is shown below. At which time does the ball reach its maximum height after bouncing from the floor? point of release light gate 1 light gate 2 h velocity time A B D C 0

5 © Raffles Institution 8867/01 [Turn over 6 A force is applied on a stationary object at time 0 st  . The graph shows how the acceleration a of the object varies with time t. Which graph shows how the velocity v or displacement s of the object varies with t? A B C D 7 A student is standing on a weighing balance inside an ascending lift. The weighing balance gives a reading in newtons. Which statement about the balance reading is correct? A The reading is less than the student’s weight. B The reading is equal to the student’s weight. C The reading is more than the student’s weight. D The reading can be less than, equal to or more than the student’s weight. t a 0 0 t2 t3 t1 t s 0 0 t2 t3 t1 t s 0 0 t2 t3 t1 t v 0 0 t2 t3 t1 t v 0 0 t2 t3 t1

6 © Raffles Institution 8867/01 [Turn over 8 Two crates of masses 2.0 kg and 3.0 kg, connected by a cable, are lifted by a force of 100 N. What is the tension in the cable between the crates? A 40 N B 51 N C 60 N D 80 N 9 A motorcycle of mass 400 kg is travelling at a speed of 14.5 m s  when it experiences an accelerating force for 1.0 s, followed by a retarding force for 2.0 s as shown. What is the speed of the motorcycle after 3.0 s? A 11.5 m s  B 13.0 m s C 14.5 m s D 16.0 m s 10 A ball rests on two frictionless walls X and Y . The angles of the walls to the horizontal are shown below. What is the ratio of the normal contact force on the ball due to wall X to that due to wall Y? A 0.71 B 0.82 C 1.0 D 1.4 100 N 2.0 kg 3.0 kg cable -800 -400 0 400 0.0 1.0 2.0 3.0 time / s force / N 30o 45o X Y ball

7 © Raffles Institution 8867/01 [Turn over 11 A clown on a unicycle accelerates to the left. What is the direction of the resultant force due to the road on the wheel of the unicycle? A B C D 12 A rectangular signboard of mass 40 kg, width 3.0 m and height 1.8 m is attached to a vertical wall by two hinges and a cable. The cable is at an angle of 30° to the horizontal as shown. What is the magnitude and direction of the horizontal component of the force exerted by the top hinge on the signboard? magnitude of force direction of force A 13 N to the right B 13 N to the left C 160 N to the right D 160 N to the left direction of motion road signboard 30° 1.8 m 3.0 m top hinge bottom hinge cable wall

8 © Raffles Institution 8867/01 [Turn over 13 A spring of unstretched length L0 is extended to length L1 by an applied force that is increased from zero until F. Upon removal of the force, the spring is damaged and has a new unstretched length L2. The graph shows the variation of the length of the spring with the applied force. Which combination of areas give the work done by the force to extend the spring from L0 to L1 and which area gives the increase in potential energy of the particles in the spring when its unstretched length is increased from L0 to L2? work done by force from L0 to L1 increase in potential energy from L0 to L2 A P + Q Q B R + S Q C P + Q P D R + S P 14 When a car is travelling along a straight road at a constant speed of 172 km h , the power delivered by its engine is 12 kW. The efficiency of the engine is 30% and each kilogram of petrol produces 40 MJ of energy. What is the total resistive force on the car and the mass of petrol required for a one-hour drive? total resistive force mass of petrol A 170 N 0.32 kg B 600 N 0.32 kg C 170 N 3.6 kg D 600 N 3.6 kg F length of spring 0 L0 L2 L1 P Q S R applied force 0

9 © Raffles Institution 8867/01 [Turn over 15 A block of mass 1.6 kg slides down a