Cambridge IGCSE Physics 0625 — 2021 May/June Paper 5 · Variant 2

1 In this experiment, you will determine the density of sand. Carry out the following instructions, referring to Fig. 1.1. The beaker labelled A has a mark at the 250 cm3 level. h beaker A Fig. 1.1 (not to scale) (a) Estimate the volume of water VW that beaker A would hold when filled to the top. VW = .................................................. cm3 [1] (b) (i) Use the string and the metre rule provided to accurately determine the circumference c of beaker A. Record your readings and show your working. c = ................................................... cm [2] (ii) Explain briefly how you used the string and the metre rule to determine c as accurately as possible. You may draw a diagram. ........................................................................................................................................... ........................................................................................................................................... ........................................................................................................................................... ..................................................................................................................................... [2] (c) Measure the height h of beaker A, as shown in Fig. 1.1. h ......................................................... cm Calculate the volume VA of beaker A using the equation hc 2 VA = . 12.6 VA = .................................................. cm3 [2] (d) (i) Beaker B contains dry sand. Pour the sand into the measuring cylinder. • Record the volume VS of sand. VS = ....................................................... cm3 • Write down the mass mB of beaker B, given on the card. mB = ............................................................ g • Pour the sand into beaker B. Measure the mass m of beaker B containing the sand. m = ............................................................ g • Calculate the mass mS of sand in the beaker. Use the equation mS = (m – mB). mS = ............................................................ g [2] (ii) Calculate the density ρ of sand using the equation mS ρ = . VS Include the unit. ρ = ......................................................... [2] [Total: 11]

Mark scheme: 1(a) 280–350 (cm3) given to nearest 5 cm3 1 1(b)(i) a length (divided by a number of turns) 1 c in range 20(.0)–25(.0) (cm) 1 1(b)(ii) wind string round beaker (several times) 1 measure the length of the string (and divide by the number of turns) 1 1(c) h in range 8–10 (cm) 1 correct calculation of VA 1 1(d)(i) VS = 90–110 cm3 1 mB present, m present, mS = m – mB 1 1(d)(ii) ρ in range 1.3–1.8 / 1300–1800 1 unit g / cm3 / kg / m3 1

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2 In this experiment, you will investigate the position of the image in a plane mirror. Carry out the following instructions. Use the ray-trace sheet supplied, referring to Fig. 2.1 for guidance. hole N B M R θ 8.0 cm A C D X 8.0 cm E F Y L eye Fig. 2.1 (a) • Draw a line 10 cm long near the top of the ray-trace sheet. Label the line MR. Draw a normal to this line that passes through its centre. Label the normal NL. Label the point at which NL crosses MR with the letter B. • Draw a line CD 8.0 cm below MR and parallel to MR. • Label the point X where CD crosses NL. • Draw a line EF 8.0 cm below CD and parallel to CD. • Label the point Y where EF crosses NL. [2] (b) • Draw a line 7.0 cm long from B at an angle of incidence θ1 = 20° to the normal below MR and to the left of the normal. Label the end of this line A. • Place two pins, P1 and P2, on line AB at a suitable distance apart for this type of ray-trace experiment. [2] (c) Place the reflecting face of the mirror vertically on the line MR. View the images of pins P1 and P2 from the direction indicated by the eye in Fig. 2.1. Place pin P3 on line CD so that the images of P2 and P1 appear exactly behind pin P3. Label the position of P3. Place pin P4 on line EF so that pin P3, and the images of P2 and P1, all appear exactly behind pin P4. Label the position of P4. [1] (d) (i) Measure and record the distance a from X to P3. a = ......................................................... [1] (ii) Measure and record the distance b from Y to P4. b = ......................................................... [1] a (iii) Calculate b. a = ......................................................... [1] b (e) • Repeat the steps in parts (b) and (c) using an angle of incidence θ2 = 10°. • Measure and record the distance c from X to P3. c = ............................................................... • Measure and record the distance d from Y to P4. d = ............................................................... c • Calculate d. c = ............................................................... d [1] a c (f) State and explain whether the values of and can be considered to be equal in this b d experiment. ................................................................................................................................................... ............................................................................................................................................. [1] (g) A student carries out this experiment with care. Suggest a practical reason why the results may not be accurate. ................................................................................................................................................... ............................................................................................................................................. [1] Tie your ray-trace sheet into this booklet between pages 4 and 5. [Total: 11]

Mark scheme: 2(a) normal at centre of MR 1 CD and EF in correct positions 1 2(b) θ1 = 20° ± 1° 1 P1P2 distance at least 5.0 cm 1 2(c) P3 on XD, P4 on YF 1 2(d)(i) a and b correct to ± 1 mm 1 Question Answer Marks 2(d)(ii) correct unit seen at least once, and not contradicted 1 2(d)(iii) a/b correct and no unit 1 2(e) c, d present c/d = a/b ± 10% 1 2(f) expect YES and values are within limits of experimental accuracy / error / uncertainty or values (very) close / close enough / not (very) far apart / both round to the same number 1 2(g) any one from: • difficulty in lining up pins • size of pin holes / thickness of pins / thickness of lines • thickness of mirror 1

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3 In this experiment, you will investigate resistance. Carry out the following instructions, referring to Fig. 3.1. power supply A resistance l wire R B D C V sliding contact S Fig. 3.1 (a) (i) Close the switch. Measure the current I in the circuit. I = ......................................................... [1] (ii) Place the sliding contact S at C. Measure the potential difference (p.d.) VR across the resistor R. VR = ......................................................... [1] Open the switch. VR (iii) Calculate the resistance R of the resistor using the equation R = . I R = ......................................................... [2] (b) Disconnect the voltmeter from terminal B. Connect the voltmeter to terminal C. Close the switch. • Place the sliding contact S at a distance l = 20.0 cm from C. • Measure, and record in Table 3.1, the reading on the voltmeter. • Repeat the procedure using l = 40.0 cm, 60.0 cm, 80.0 cm and 100.0 cm. Open the switch. Table 3.1 l / cm V / V 20.0 40.0 60.0 80.0 100.0 [1] (c) Plot a graph of V / V (y-axis) against l / cm (x-axis). Start both axes at the origin (0,0). 0 0 [4] (d) Use your value of VR from (a)(ii) to find the length l R of resistance wire that has the same resistance as resistor R. Show clearly on the graph how you obtained the necessary information. l R = ......................................................... cm [2] [Total: 11]

Mark scheme: 3(a)(i) 1 3(a)(ii) VR to at least 1 decimal place and < 3 (V) 1 3(a)(iii) R correct 1 all units present and correct 1 3(b) V values increasing and initial V < 0.5 V 1 Question Answer Marks 3(c) graph: axes correctly labelled with quantity and unit and right way round 1 suitable scales 1 all plots correct to ½ small square 1 good line judgement, thin, continuous line 1 3(d) correct method shown clearly on graph 1 lR correctly read to ± ½ small square 1

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4 A student investigates springs made from different metals. Plan an experiment to investigate the extension of springs made from different metals. You are not required to carry out this experiment. The following apparatus is available: boss, clamp and stand metre rule springs made from different metals selection of loads with hangers. You can also use other apparatus and materials that are usually available in a school laboratory. In your plan, you should: • write a list of suitable metals for the springs • draw a diagram of the set up you would use • explain briefly how to carry out the investigation • state the key variables to keep constant • draw a table, or tables, with column headings, to show how to display your readings (you are not required to enter any readings in the table) • explain how you would use the readings to reach a conclusion. .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .................................................................................................................................................... [7]

Mark scheme: 4 MP1 apparatus: diagram: spring suitably supported, (load and metre rule) 1 MP2 at least three (suitable) metals listed 1 MP3 method: measure / record length of the spring and add load(s) and measure / record new length OR add load(s) and measure / record the extension 1 MP4 repeat with other springs of different materials 1 MP5 key variables: one from: original length of spring / diameter of spring / number of turns (of the spring) / diameter of the wire (of the spring) / length of the wire (of the spring) / same load 1 MP6 table: table with columns for metal and extension / length with correct unit(s) 1 MP7 conclusion: graph of extension against load (or axes other way around) for each spring and compare OR compare extensions for a fixed load for each spring 1

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