NHHS 2024 sec4 phy prelim P3

This paper consists of 13 printed pages. Name: _____________________________________ ( ) Class: Sec 4 / ( ) NAN HUA HIGH SCHOOL PRELIMINARY EXAMINATIONS 2024 Subject : Physics Paper : 6091/3 Level : Secondary Four Date : 7 August 2024 Duration : 1 hour 50 minutes INSTRUCTIONS TO CANDIDATES Write your name, class and register number in the spaces at the top of this page and on any separate answer paper used. Answer all questions. All of your answers should be written in this Question Paper: scrap paper must not be used. Graph paper is provided in this Question Paper. Additional sheets of graph paper should be used only if necessary to do so. You will be allowed to work with the apparatus for a maximum of 55 minutes for each section. You are expected to record all your observations as soon as these observations are made. An account of the method of carrying out the experiment is not required. The use of approved scientific calculator is expected, where appropriate. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. Shift Laboratory For Examiner’s Use 1 2 3 Total

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 2 of 13 Section A 1 In this experiment, you will determine the speed of a wave on the surface of water. You are provided with: • a digital calipers, • a plate, • a dropper, • a stopwatch, • a 30 cm ruler, • a beaker, • paper towels to clean up any spillages. (a) Fill the plate with water to the level marked (black line) on the side of the plate. (b) Fig 1.1 shows a wavefront moving outwards from the centre of a plate filled with water. The wavefront is produced by one drop of water from the dropper. Fig. 1.1 (i) Using a digital calipers, measure the depth of the water, d, at the centre of the plate. d = [1] Put 1.0 cm3 of water into the dropper. Using the dropper, let one drop of water fall into the centre of the plate. Observe a wavefront travel to the edge of the plate, reflect back to the centre, and then travel back out again. The wavefront will move in and out several times. (ii) Take measurements to determine an accurate time t for the wavefront to travel once from the centre of the plate and back to the centre. t = [2] dropper wavefront water drop

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 3 of 13 (iii) Using your answer to (a)(ii), calculate the speed of the wavefront using the equation shown. speed = distance time You will need to make and record an additional measurement of the diameter of the water surface. speed = [2] (b) The approximate speed of waves in shallow water can be given by vshallow = √α d where d is the depth of the water, and 𝛼𝛼 is a constant. Plan an experiment using the above relationship to determine the constant 𝛼𝛼 using a graphical method. Your plan should include • the quantities that you should keep constant, • a detailed description of how you would 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, • an explanation of how you would obtain a value of the constant 𝛼𝛼 from your graph.

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 4 of 13 [5] [Total: 10]

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 5 of 13 2 In this experiment you will investigate the indentation made by a glass ball in the surface of some modelling clay. You are provided with: • a glass ball, • two 100 g masses, • a small lump of adhesive putty, • a half-metre rule, • a set square. (a) (i) Describe briefly how to use the apparatus in Fig. 2.1 to determine the diameter of the glass ball. Fig. 2.1 Draw a labelled diagram of the arranged apparatus to help your explanation. [2] (ii) Measure and record the diameter D of the glass ball. D = [1]

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 6 of 13 (b) You are also provided with: • a stand, boss and clamp, • a wooden strip (metre-rule), • a piece of modelling clay, • a loop of string, • a mass-hanger, • a 30 cm ruler. The supervisor has clamped the wooden strip. Ensure that the clamp is able to rotate freely in the boss. Place the glass ball and the modelling clay between the centre of the wooden strip and the bench as shown in Fig. 2.2. Fig. 2.2 Put the two 100 g masses onto the mass hanger. The combined weight of the mass hanger and both 100 g masses is 3.0 N. Place the mass hanger and masses directly above the glass ball for about one minute. Remove the mass hanger and masses. Raise the wooden strip and remove the ball from the modelling clay. Observe a small circle where the ball has been pressed into the surface of the clay. This is an indentation. (i) Measure and record the diameter d1 of the indentation. d1 = [1]

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 7 of 13 (ii) The area of a circle can be calculated using the equation shown. where A is the area and d is the diameter of the circle. Calculate the area A1 of the indentation with diameter d1. A1 = [1] (c) (i) Flip over the modelling clay. Replace the ball on the modelling clay under the wooden strip. Lower the strip so that it rests on top of the glass ball. Using the loop of string, attach the mass hanger and masses near the end of the wooden strip as shown in Fig. 2.3. Measure and record x and y. Fig. 2.3 x = y = [1]

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 8 of 13 (ii) Calculate the force F exerted on the modelling clay using the equation shown. F = 3y x Show your working. F = [1] (iii) Measure and record the diameter d2 of the indentation produced by the ball in the clay. Using the equation in (b)(ii), calculate the area A2 of the circle with diameter d2. d2 = A2 = [1] (d) Students in another laboratory obtain different values of A1 and A2 using the same arrangement of the apparatus. Identify two variables that should be controlled to ensure similar values of A 1 and A2 when using modelling clay. [2] [Total: 10]

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 9 of 13 Section B 3 In this experiment, you will investigate a thermistor. You are provided with: • a 4.5 V power supply, • a switch, • a fixed resistor, • a thermistor, • a voltmeter, • connecting leads, • a thermometer attached to your bench by a small amount of adhesive putty, • a stirrer, • a styrofoam cup, • a supply of hot water. Fig. 3.1 (a) Set up the circuit shown in Fig. 3.1 without the thermometer. (b) There is a thermometer attached to your bench by a small amount of adhesive putty. Record the temperature TR on the thermometer. This is room temperature. Close the switch. Record the reading VR on the voltmeter. Open the switch. TR = VR = [1] V

Nan Hua High School Preliminary Examinations 2024 Physics 6091/3 Page 10 of 13 (c) (i) Collect some hot water using the styrofoam cup. Carefully pour hot water into the beaker until it reaches the 200 cm3 mark. The thermistor should be fully immersed in the wa