CAPE Physics Unit 1 · 2008 · Paper 2

46 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

1. 1(a)1 markTable 1 shows the data collected in a terminal velocity experiment. A small lead sphere of mass m and radius r was timed as it fell through glycerine contained in a long tube at 30 °C.
2. 1(a)(i)5 marksOn the grid on page 5, plot a graph of velocity, V, against time, t.
3. 1(a)(ii)2 marksExplain the shape of the graph and use it to identify the terminal velocity, Vₜ, of the sphere.
4. 1(a)(iii)2 marksDetermine the average acceleration of the sphere between t = 0.5 s and t = 0.7 s.
5. 1(b)1 markThe terminal velocity, Vₜ, of the lead sphere, is given by Vₜ = mg / (6πkr) where k is a temperature-dependent constant that determines the resistance to motion in the fluid.
6. 1(b)(i)3 marksDetermine the units of k.
7. 1(b)(ii)2 marksGiven that m = 5 x 10⁻³ kg, and r = 1 x 10⁻³ m, determine the value of k for glycerine at 30 °C.
8. 1(b)(iii)1 markExplain how the terminal velocity will be affected if a sphere of the same mass but twice the radius is used.
9. 2(a)2 marksExplain how a stringed instrument such as a guitar produces a musical note.
10. 2(b)1 markThe apparatus shown in Figure 1 may be used to investigate waves on strings.
11. 2(b)(i)1 markBy varying the setting on the signal generator a standing wave with 3 anti-nodes may be set up on the string. In the space below draw a diagram to show how the string would look when this standing wave is set up. (Note:…
12. 2(b)(ii)1 markCalculate the wavelength of the wave you have drawn.
13. 2(b)(iii)3 marksWrite an equation for the wavelength when the string has n anti-nodes and use this to show that the relationship between the frequency of the vibrator and the number of anti-nodes is f = (v/2L)n where v is the wave…
14. 2(c)5 marksThe data in the Table 2 were collected using the apparatus in Figure 1 on page 7. By means of plotting a suitable graph on page 8, find the velocity of the waves on the string.
15. 3(a)6 marksList ONE advantage and ONE disadvantage of using a liquid in glass thermometer, a thermocouple and a constant volume gas thermometer to measure temperature.
16. 3(b)1 markFigure 2 shows the setup of the experimental arrangement to determine the boiling point of a liquid. The following apparatus is available: a constant volume gas thermometer, large beaker, electric heater, ice, distilled…
17. 3(b)(i)1 markHow would you ensure that the volume of gas in the bulb is held constant?
18. 3(b)(ii)4 marksCarefully explain how readings are taken to determine a) h₀, the height of the mercury column at 0 °C b) h₁₀₀, the height of the mercury column at 100 °C c) h, the height of the mercury column at t °C. d) Indicate on…
19. 3(c)1 markThe following results were obtained: h₀ = 5.0 cm h₁₀₀ = 20.0 cm h = 16.8 cm
20. 3(c)(i)1 markUsing the above results, determine the boiling point of the liquid.
21. 3(c)(ii)3 marksDetermine the pressure of the gas in the bulb when the liquid is at its boiling point.
22. 4(a)1 markA body of mass, m, is moving in a circle of radius, r, with constant speed v.
23. 4(a)(i)5 marksExplain why there must be an acceleration experienced by the mass although it is moving at constant speed.
24. 4(a)(ii)1 markWrite an expression for the magnitude of the acceleration and state the direction of this acceleration.
25. 4(a)(iii)1 markExplain why the work done by the centripetal force on the mass is zero.
26. 4(b)1 markFigure 3 shows a pendulum with string of length 0.5 m and mass 1 kg being whirled at constant speed in a horizontal circle. The mass is 1.5 m above the ground.
27. 4(b)(i)6 marksDraw the free body diagram showing the forces acting on the mass.
28. 4(b)(ii)1 markCalculate a) the tension in the string b) the speed of the mass.
29. 4(c)1 markDuring the motion the string suddenly breaks.
30. 4(c)(i)4 marksDescribe the subsequent motion of the mass.
31. 4(c)(ii)1 markCalculate the time it takes for the mass to hit the ground after the string breaks.
32. 5(a)1 markA diffraction grating is illuminated by a parallel beam of light with a mixture of three wavelengths in the yellow, blue and red parts of the visible spectrum as shown in Figure 4.
33. 5(a)(i)8 marksDiscuss with the aid of suitable diagrams the role of diffraction and interference of waves in the production of this spectrum.
34. 5(a)(ii)1 markExplain why Beam A in Figure 4 must be the blue light and also identify the colours of the Beams B and C.
35. 5(a)(iii)1 markWhy does the central beam (labelled O) contain a mixture of all three colours?
36. 5(b)1 markThe spectrum of sodium contains two yellow lines close together with wavelengths of 589 nm and 590 nm as shown in Figure 5. To view these lines separately an experimenter used a diffraction grating with 6 x 10⁵ lines…
37. 5(b)(i)7 marksCalculate the value of the HIGHEST order spectrum which can be used to view the sodium lines.
38. 5(b)(ii)1 markWhat is the angular separation of the two sodium lines in this spectrum?
39. 6(a)1 markThe first law of thermodynamics is given by the equation ΔU = Q + W.
40. 6(a)(i)6 marksExplain the meaning of EACH of the terms used in the equation when the law is applied to the heating of a fixed mass of gas.
41. 6(a)(ii)1 markUse the first law of thermodynamics to explain why the molar heat capacity at constant pressure, Cₚ, is greater than the molar heat capacity at constant volume, Cᵥ.
42. 6(b)1 markOne mole of an ideal monatomic gas, Cᵥ = (3/2)R, is taken through the cycle represented by states 1 to 4 as shown in Figure 6. Assume that at state 1, P₁ = 1.01 x 10⁵ Pa, V₁ = 0.0225 m³ and T₁ = 273 K and at state 3, T₃…
43. 6(b)(i)9 marksthe work done during the cycle
44. 6(b)(ii)1 markthe temperature T₂ at state 2
45. 6(b)(iii)1 markthe energy added as heat during the processes 1 → 2 and 2 → 3
46. 6(b)(iv)1 markthe efficiency of the cycle.