HCI Sample A Paper 2

1 Hwa Chong Institution Examinations Secondary 3 Integrated Programme CANDIDATE NAME CLASS REGISTER NUMBER PHYSICS Paper 2 Theory SAMPLE PAPER A 1 hour 45 minutes Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES Section A Answer all questions. Section B Answer all questions. Question 12 has a choice of parts to answer. Candidates are reminded that all quantitative answers should include appropriate units. The use of an approved scientific calculator is expected, where appropriate. Candidates are advised to show all their working in a clear and orderly manner, as more marks are awarded for sound use of Physics rather than correct answers. 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. When necessary, take g to be 10 m s-2 or 10 N kg-1. This document consists of 17 printed pages and 0 blank page.

2 SECTION A (40 MARKS) Answer all the questions in this section. 1 A student used a micrometer to measure the diameter of a metal wire. (a) Fig. 1.1 shows the micrometer with its anvil and spindle closed with the correct force. Fig. 1.2 shows the wire being gripped by the anvil and spindle with the correct force. Calculate the corrected diameter of the wire. [2] (b) The metal wire is 3.00 m long and its weight is found to be 0.0152 N. Taking gravitational field strength, g, to be 10 N/kg, calculate the density of the wire (Take π = 3.14). [3] Thimble scale Thimble scale Fig. 1.1 Fig. 1.2

3 2 A tray of glycerol (absolute refractive index 1.47) is filled to a depth of 80 mm as shown in Fig 2.1. (a) Calculate the largest angle, θ, at which a ray of light can emerge from the tray of glycerol and hence determine the largest diameter of the ‘halo’ of light that can be seen from under the surface of the glycerol. [2] (b) What would happen to the ‘halo’ diameter if glycerol is replaced with water of absolute refractive index of 1.33. Explain your reason. …………………………………………………………………………………………….. ……………………………………………………………………………………………. ……………………………………………………………………………………....... [2] θ Fig. 2.1 80 mm

4 3 Figure 3.1 shows an object and its corresponding image. The diagram is drawn to scale. Complete the diagram with two sets of light rays to show how the image is formed. Determine: (a) the magnification factor of this lens: _______________. [1] (b) the focal length of this lens: _____________________. [3] 4 Figure 4.1 shows a lady standing on the edge of a vertical cliff and throwing a stone vertically upwards. The stone leaves her hand with a speed of 15 m s–1 at the instant her hand is 80 m above the surface of the sea. Air resistance is negligible and the acceleration of free fall is 10 m s-2. (a) Calculate the maximum height reached by the stone as measured from the point where it is thrown. [2] Fig. 4.1

5 (b) Determine the time for the stone to reach the surface of the sea after leaving the lady’s hand. [2] 5 Figure 5.1 shows three teams engaged in a tug -of-war. At the instant shown, Team 1 is pulling on their rope with a force of 500 N. Team 2 and 3 are pulling perpendicular to each other. The tyre is at rest at this instant. By means of a scale diagram, determine the tensions in the ropes of teams 2 and 3. [4] Fig. 5.1

6 6 A satellite orbits the Earth at constant speed as shown in Fig. 6.1. (a) Draw on the diagram, (i) an arrow labelled F to show the direction of the gravitational force of the Earth on the satellite. [1] (ii) an arrow labelled V to show the direction of the velocity of the satellite. [1] (b) Explain why the satellite is accelerating although its speed is constant. ………………………………………………………………………………………………. ………………………………………………………………………………………………. ……………………………………………………………………………………………[2] (c) Is there any work done by the gravitational force on the satellite? Explain. ………………………………………………………………………………………………. ………………………………………………………………………………………………. ……………………………………………………………………………………………[2] Fig. 6.1 satellite Earth

7 7 The following experiment was conducted at the top of a tall mountain. Water was heated at a constant rate in a container that had negligible heat capacity. The container was thermally insulated from the surroundings. Fig. 7.1 shows the variation of the temperature of the water with time. The following data are available: Initial mass of water = 0.40 kg Initial temp of water = 20°C Rate at which water is heated = 300 W (or J s-1) Specific heat capacity of water = 4.2 x 103 J kg–1 °C−1 (a) State the reason why the temperature was constant in the region A to B. …………………………………………………………………………………………….… ……………………………………………………………………………………………[1] (b) Calculate the temperature at which the water starts to boil. [2] Fig. 7.1 Temperature/ C Time / s A B 420 0 20 

8 8 (a) A piece of metal wire has a resistance of 802 Ω at the ice point and 815 Ω at the steam point. Calculate the temperature if the resistance of this wire is 804 Ω. [2] (b) Fig. 8.1 shows two liquid-in-glass thermometers X and Y with the same stem length, same bulb size (equal volume of liquid) and same bore (capillary tube) width. However, the glass bulb wall of Y is thicker than that of X State and explain which thermometer (X or Y) is less responsive. ………………………………………………………………………………………. ………………………………………………………………………………………. ……………………………………………………………………………………[2]