CAPE Physics Unit 1 · 1999 · Paper 2

44 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)4 marksDescribe a possible experiment that you could perform to obtain the data for the velocity - time graph shown in Figure 1.
2. 1(b)(i)3 marksDescribe the motion of the ball during the periods AB and BC.
3. 1(b)(ii)2 marksEstimate the height to which the ball rises.
4. 1(b)(iii)1 markFrom the graph, how can you tell that the object returned to the point of projection?
5. 2(i)6 marksAssuming that the ship travels in a straight line and the depth of the sea bed at Point A is 100 m, calculate the depth at Point B. Hence, complete the Table 1 above. Put calculations in the space below.
6. 2(ii)2 marksComplete Figure 2 below to show the shape of the sea bed over the distance travelled by the ship. The position of the sea bed at the starting point is indicated for you.
7. 2(iii)2 marksState TWO ways in which a more precise map of the sea bed could be obtained.
8. 3(a)(i)1 markWhat is the melting point of sulphur?
9. 3(a)(ii)3 marksCalculate the specific heat capacity of solid sulphur.
10. 3(a)(iii)2 marksCalculate the specific latent heat of fusion of sulphur.
11. 3(b)(i)2 marksState TWO sources of error that could occur in performing this experiment.
12. 3(b)(ii)2 marksState TWO precautions that you would take to improve the accuracy of this experiment.
13. 4(a)2 marksState the principle of conservation of linear momentum.
14. 4(b)6 marksShow that for an object projected with a given velocity, v, at an angle, α, to the horizontal, the trajectory is given by the equation y = x tan α - gx² / (2v² cos² α).
15. 4(c)(i)12 marksFor EACH bullet calculate the horizontal range and the corresponding time of flight.
16. 4(c)(ii)1 markWhat is the velocity with which the rifle recoils?
17. 5(a)(i)7 marksThree important 'base quantities' are mass, length and time. Explain the term 'base quantity' and give another example of a 'base quantity'.
18. 5(a)(ii)1 markIf in another system of units the base quantities and units are mass/kg, length/m, and force/N, what would be the unit of time?
19. 5(a)(iii)1 markHow would you use base quantities or units to check the homogeneity of physical equations? State ONE way in which an equation that is homogeneous may, nevertheless, be physically incorrect.
20. 5(b)(i)13 marksAssuming the given equation to be homogeneous, show that the SI unit of η is N s m⁻².
21. 5(b)(ii)1 markEstimate the uncertainty to which η can be determined.
22. 5(b)(iii)1 markWhat is the actual uncertainty in the measurement?
23. 5(b)(iv)1 markIdentify ONE case of random error and one case of systematic error in the measurements of the physical quantities required to determine η. Say what you would do to reduce these errors.
24. 6(a)(i)5 marksDescribe how the displacements of P and Q vary with time.
25. 6(a)(ii)1 markCalculate the speed of the waves.
26. 6(b)3 marksDescribe an experiment to demonstrate the diffraction of plane water waves in a ripple tank for a narrow gap. Draw a diagram of what you would expect to see when looking down at the surface of the ripple tank.
27. 6(c)4 marksExplain why this occurs.
28. 6(d)5 marksWrite down expressions for displacement and velocity of the water molecules with time. Hence, deduce an expression for the power due to the water waves in terms of f, ρ, A and v for a cross section of area 1 m².
29. 6(e)3 marksDirectly below EACH figure in your answer booklet, draw on the dotted line, the state of the water surface one quarter of a period later.
30. 7(a)2 marksExplain the phenomena involved in the formation of a diffraction pattern by a plane diffraction grating.
31. 7(b)6 marksDescribe, with the aid of a diagram, an experiment to measure the wavelength of yellow light from a straight filament bulb, using a diffraction grating having N lines per metre.
32. 7(c)(i)12 marksFind the angular breadth of the first-order spectrum. Show your result on a labelled diagram.
33. 7(c)(ii)1 markShow that the second-order spectrum of the white light overlaps with the third-order spectrum.
34. 8(a)3 marksDiscuss the nature of the processes by which a hot body may lose heat to the surroundings.
35. 8(b)(i)5 marksExplain why a sheet of glass is used on the collector.
36. 8(b)(ii)1 markThe main component in the collector is the blackened copper sheet. Explain its function.
37. 8(b)(iii)1 markExplain why a pump is not required to circulate the water in the storage tank.
38. 8(c)12 marksPlot a graph to determine A and n.
39. 9(a)5 marksWrite down an expression for the pressure of an ideal gas in terms of the mean square speed of its molecules. State FOUR assumptions that are required in the derivation of this expression.
40. 9(b)3 marksWrite down another expression for the pressure of a fixed mass of an ideal gas in terms of its volume and absolute temperature. Show that the expression is consistent with that in part (a), provided that a certain…
41. 9(c)(i)12 marksEstimate the number of molecules in the vessel.
42. 9(c)(ii)1 markEstimate the mean square speed of the molecules.
43. 9(c)(iii)1 markEstimate the total translational kinetic energy of the molecules.
44. 9(c)(iv)1 markEstimate the average translational kinetic energy of a molecule.