2023 AHS Physics Prelim Paper 3

14 August 2023 1 hour 50 minutes Anglican High School Secondary Four Preliminary Examination 2023 CLASS CLASS INDEX 4 Anglican High School 2023_S4_Prelim_PHY_P3 [Turn over S4 This document consists of 12 printed pages.

1 In this experiment, you will investigate the mass and volume of a brass mass. You are provided with: • a brass mass • a ruler • two set squares • an electronic balance (a) (i) Describe one precaution you must take before measuring the mass of the brass mass using an electronic balance. …………………………………………………………………………………………………………. ……………………………………………………………………………………………………… [1] (ii) Measure and record the mass of the brass mass. mass = ……………………………. [1] (b) (i) Draw a labelled diagram to show how to use the ruler and the set squares to measure the diameter of the brass mass. [2] (ii) Measure and record the diameter d of the brass mass. d = ……………….………. [1] 2 Section A Anglican High School 2023_S4_Prelim_PHY_P3

(c) (i) Measure and record the total length l of the brass mass, as shown in Fig. 1.1. Fig. 1.1 (not to scale) l = ………………………….. [1] (ii) Estimate the volume V of the brass mass using the equation 𝑉 = 𝜋 4 𝑙𝑑2 V = ……………………….… [1] (iii) The volume calculated in (c)(ii) is an estimate of the volume of the brass mass. Explain why it is only an estimate and whether it is a good or poor estimate of the actual volume of the brass mass. …………………………………………………………………………………………………….…. ………………………………………………………………………………………….……………. ………………………………………………………………………………….………………... [2] (iv) Describe how the method for determining the volume of the brass mass may be improved. …………………………………………………………………………………………………….…. ………………………………………………………………………………………….……………. ………………………………………………………………………………….………………... [1] [Total: 10] 3 Anglican High School 2023_S4_Prelim_PHY_P3 [Turn over l

2 In this experiment, you will investigate the deviation of a ray of light passing through a glass block. You are provided with • a rectangular block • an illuminated slit • a 30 cm ruler • a protractor (a) Fig. 2.2 is on page 5 of your question paper. On Fig. 2.2, (i) draw a normal to the line XY at point M, above and below the line XY, (ii) draw a line from M at an angle of 60o to the normal towards the top left edge of the page. Label this line L. (iii) Extend this line from M to the bottom right edge of the page. Label this line K. [1] (b) Place the block on Fig. 2.2, with one of its long sides on the line XY. The top left-hand corner of the block should be at X, as shown in Fig. 2.1. Fig. 2.1 (c) (i) On Fig. 2.2, draw the outline of the block. (ii) Position the illuminated slit so that a ray of light passes along line L from the top left edge of the page towards M. (iii) On Fig. 2.2, mark and label two points P 1 and P2 on the ray that leaves the block. You should choose the position of these two po ints so that the position of the ray can be accurately drawn. [1] (d) (i) Remove the block. Draw a line through P1 and P2 to touch the outline of the block at a point. Label this point N. (ii) Draw a straight line from M to N and measure the length l of the line MN. . l = ………………………….. [1] (iii) Measure the perpendicular distance d between the line K and the line through P1 and P2. d = …………………………. [1] (iv) Calculate 𝑑 𝑙 . 𝑑 𝑙 = ………………………… [1] Anglican High School 2023_S4_Prelim_PHY_P3 4 block X Y M

Fig. 2.2 5 X M Y Anglican High School 2023_S4_Prelim_PHY_P3 [Turn over

(e) A student claims that the value of 𝑑 𝑙 is linearly related to θ, the angle the ray of light from the illuminated slit makes to the normal. Using the same apparatus, plan an experiment to find out if the student’s claim is correct. Your plan should include • a list of quantities that you should keep constant, • a detailed description of how you will perform the experiment, • a statement of the graph that you would plot to test the relationship, • a sketch of the graph that you would obtain if the suggested relationship is correct. ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ……………………………………………………………………………………………………………… ………………………………………………………………………………………………………….. [5] [Total: 10] Anglican High School 2023_S4_Prelim_PHY_P3 6

3 In this experiment, you will determine the specific heat capacity of cooking oil. You are provided with: • an arrangement of resistors to act as a heater • an ammeter • a voltmeter • a power supply • a switch • leads and crocodile clips. The heater is made from five resistors connected in parallel. Do not separate the resistors. . Fig. 3.1 Assemble the apparatus shown in Fig. 3.1. Close the switch . Take the readings in (a) and then immediately open the switch. (a) Record the current I. I = …………………………..…. Record the potential difference V across the heater. V = …………………………..… [1] Disconnect the voltmeter from the circuit. 7 Section B Anglican High School 2023_S4_Prelim_PHY_P3 [Turn over

(b) You are also provided with: • a beaker containing cooking oil held in a clamp, boss and stand • a second boss and clamp • a thermometer • a stopwatch Arrange the apparatus shown in Fig. 3.2 with the heater placed in the cooking oil. The thermometer should be placed close to, but not in contact with the heater. (i) Suggest one way in which you assembled the apparatus to make the temperature readings accurate. ..………………………………………………………………….…….…………………………….. …………………………………………………………………..…………………………………… [1] (ii) Measure and record the starting temperature θ0 of the cooking oil. θ0 = …………………………………. [1] (iii) Calculate the mass m of the cooking oil using the equation m = ρv where the density of the oil ρ is 0.90 g / cm3 and the volume of oil v is 40 cm3. m = ………………………………… [1] Anglican High School 2023_S4_Prelim_PHY_P3 8 Fig. 3.2

(c) Close the s