CAPE Physics Unit 2 · 2008 (Rest of Region) · Paper 2

34 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)3 marksWrite a suitable linear equation and complete the table of t/\text{s}, I/\mu\text{A}, and \ln(I/\mu\text{A}).
2. 1(b)5 marksPlot the required linear graph using the student's results on the provided grid.
3. 1(c)(i)2 marksUse the graph to find the value of the current at time t = 0.
4. 1(c)(ii)2 marksUse the graph to find the time constant for the discharge.
5. 1(d)(i)2 marksOn the provided grid, sketch a graph showing how the potential difference across the capacitor varies with time during this discharge.
6. 1(d)(ii)1 markWrite an equation for this voltage change using the actual values for the constants in it.
7. 2(a)(i)1 markDraw a diagram showing how a NOT gate can be constructed using parts of this chip.
8. 2(a)(ii)1 markDraw a diagram showing how an AND gate can be constructed using parts of this chip.
9. 2(a)(iii)1 markDraw a diagram showing how an OR gate can be constructed using parts of this chip.
10. 2(b)(i)4 marksComplete the truth table for the circuit shown in Figure 2 for intermediate points C, D, E, F and output Q.
11. 2(b)(ii)4 marksReplace all the components in Figure 2 with NAND gates (Step 1) and minimise the number of gates to fit on a single quad-NAND chip (Step 2).
12. 2(c)4 marksDraw a diagram of a bistable latch constructed from two NAND gates and, using the sequential truth table, explain how it operates as an electronic latch.
13. 3(a)(i)1 markAdd a curve to Figure 3a showing the effect of increasing the light intensity, and label it A.
14. 3(a)(ii)1 markAdd another curve to Figure 3a labelled B showing the expected result if radiation with shorter wavelength is used.
15. 3(a)(iii)2 marksExplain why the current stays constant between X and Y on the graph.
16. 3(a)(iv)1 markExplain why the current decreases when the voltage across the tube is reversed (region XZ).
17. 3(a)(v)1 markState how the stopping potential can be used to calculate the maximum kinetic energy of the photoelectrons.
18. 3(b)(i)7 marksPlot a suitable graph on the grid provided using the given data of E_{\max} and frequency f, and determine the value of Planck's constant h.
19. 3(b)(ii)2 marksCalculate the value of the work function for this photocathode.
20. 4(a)2 marksDefine magnetic flux and state Lenz's law.
21. 4(b)(i)2 marksExplain why the ring jumps into the air.
22. 4(b)(ii)2 marksDescribe and explain the motion of the ring, if any, when a slot is cut into the ring as shown in Figure 4(b).
23. 4(c)(i)2 marksCalculate the total magnetic flux \Phi through the coil at time t = 0.
24. 4(c)(ii)a)3 marksGiven the rate of change of flux is 2\pi f \Phi \sin(2\pi f t), find the maximum instantaneous value of the induced e.m.f. in the coil.
25. 4(c)(ii)b)2 marksFind the r.m.s. value of the e.m.f. induced in the coil.
26. 4(c)(iii)2 marksState what difference it would make to the induced e.m.f. if the coil were fixed and the magnet rotated at the same rate and in the same direction.
27. 5(a)5 marksDerive the equation for the gain of an inverting amplifier A = -R_2 / R_1, clearly stating two necessary assumptions about the operational amplifier.
28. 5(b)10 marksPlot a suitable graph of the provided data for R_1 and A to determine whether the gain formula applies, and write a concise summary with reasoning.
29. 6(a)(i)2 marksExplain what is meant by the 'binding energy of the nucleus'.
30. 6(a)(ii)3 marksCalculate the binding energy per nucleon (in joules) for an \alpha-particle (helium-4 nucleus).
31. 6(a)(iii)2 marksComment on the significance of helium-4 having a much higher binding energy per nucleon than nearby elements in the periodic table.
32. 6(b)(i)2 marksWrite a nuclear decay equation for the decay of radon into polonium.
33. 6(b)(ii)3 marksCalculate the number of radon atoms present at that instant if the half-life of radon is 55 s.
34. 6(b)(iii)3 marksFind the rate of energy release (in watts) for the sample given that each decay releases 6.3 MeV and the activity is 4500 Bq.