2023 HCI Prelim P1 QP

This paper consists of 16 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 1 CANDIDATE NAME CT GROUP 22S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 8867/01 20 September 2023 60 minutes INSTRUCTIONS TO CANDIDATES Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in the spaces provided. 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 OMS. 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.

2 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 Data Formulae speed of light in free space, c = 3.00  10 8 m s 1 elementary charge, e = 1.60  10 19 C 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 the Avogadro constant, NA = 6.02  10 23 mol 1 gravitational constant, G = 6.67  10 11 N m 2 kg 2 acceleration of free fall, g = 9.81 m s 2 uniformly accelerated motion resistors in series resistors in parallel s = ut + 2 1 at2 v 2 = u 2 + 2as R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . .

3 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 1 The SI unit of magnetic flux density is the tesla, T. What are the base SI units of the tesla? A kg s-2 A-1 B kg m s-2 A-1 C kg s2 A-1 D kg m2 s-2 A-1 2 A point source is emitting a steady sound wave uniformly in all directions. A sound intensity meter placed at a distance (2.0  0.1) m away from the source detects an intensity of (0.25  0.05) Wm-2. The equation to determine the intensity I of the light at distance r is given by 24 P rI  , where P is the power of the source. What is the uncertainty of the power of the source? A 0.1 W B 0.3 W C 3 W D 4 W 3 Four students measured and calculated the electronic charge, e. Their results are presented in the table as shown below. Which student obtained a set of results that were accurate but least precise? Student electronic charge, e / x 10-19 C A 1.62 1.59 1.59 1.61 1.60 B 1.57 1.63 1.64 1.58 1.59 C 1.59 1.60 1.58 1.57 1.57 D 1.58 1.62 1.65 1.59 1.66

4 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 4 A radio-controlled toy car travels along a straight line for a time of 15 s. The variation with time t of the velocity v of the car is shown. What is the average velocity of the toy car for the journey shown by the graph? A -1.5 m s-1 B 0.0 m s-1 C 4.0 m s-1 D 4.5 m s-1 5 A train, initially at rest at a station, has a uniform acceleration of 0.20 m s –2 until it reaches a speed of 20 m s –1. It travels for a time at this constant speed and then has a uniform deceleration of 0.40 m s –2 until it comes to rest at the next station. The distance between the two stations is 3000 m. What is the time taken by the train to travel between the two stations? A 75 s B 150 s C 230 s D 300 s

5 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 6 A projectile is launched at an angle to the horizontal at time t = 0. It travels over horizontal ground, as shown. Air resistance is negligible. Which graph best shows the variation with t of the speed of the projectile from when it is launched to when it lands on the ground? A B C D 7 A block is placed on the floor in an ascending lift. When the lift is slowing down, the magnitude of the force exerted on the block by the floor is always A equal to the magnitude of its weight. B less than the magnitude of its weight. C greater than the magnitude of its weight. D different from the magnitude of the force exerted on the lift floor by the block.

6 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 8 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 9 A hose directs a stream of water of speed travelling horizontally at 8.0 m s ─1 onto a wall. The water flows vertically down the wall without splashing after the impact. What is the pressure exerted on the wall by the water? (density of water = 1000 kg m─3) A 8.0 kPa B 64 kPa C 128 kPa D 256 kPa p d 0 p d 0 p d 0 p d 0

7 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 10 An object hangs by means of two cords around two rods, as shown in diagram below. The object is held in equilibrium by the forces F1 and F2. The object weights 10 N. There is negligible friction between the rods and cords. Which row of the table gives an angle θ of 90o? F1 / N F2 / N A 4.0 6.0 B 6.0 4.0 C 6.0 8.0 D 8.0 6.0 11 A box of length 12 cm and weight 0.43 N is placed on a horizontal table, with the greater part of it s length overhanging the edge of the table. The edge of the table acts as a pivot. The centre of gravity of the box is at its geometric centre. To balance the box, a uniform sphere of diameter 2.4 cm is placed inside the box, touching one end, as shown. Assume that the forces acting on the box are in the plane of the diagram. What is the minimum mass of the sphere that is needed to maintain the system in equilibrium? A 0.066 kg B 0.13 kg C 0.22 kg D 1.3 kg

8 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 12 The diagrams show four forces applied to each of the 3 circular discs, X, Y and Z. Which of the disc(s) will experience a resultant torque and no resultant force? A X only. B Y only. C X and Y only. D X, Y and Z. 13 A small electric motor is used to raise a weight of 2.0 N at constant speed through a vertical heigh t of 80 cm in 4.0 s. The efficiency of the motor is 20 %. What is the electrical power supplied to the motor? A 0.080 W B 0.80 W C 2.0 W D 200 W motor 2.0 N 80 cm

9 © Hwa Chong Institution 8867 / 01 / C2 Prelim 2023 14 A 50 kg block is released from rest at a height of 5.00 m above the ground. It then travels a distance of 10.0 m along a curved slope to the ground as shown in the figure below. The final speed of the block at the end of the slope is only 4.90 m s -1 because a constant resistiv