CAPE Physics Unit 1 · 2005 · Paper 2

49 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)7 marksComplete Table 1 and plot a suitable graph on the grid on page 4 to enable you to find the value of n. (Note that it is NOT necessary to convert the units to metres.)
2. 1(b)1 markWrite the equation of the graph you have drawn.
3. 1(c)2 marksWhat is the MOST likely value of the constant n?
4. 2(a)5 marksOn the grid provided on page 6, plot a graph to show how the amplitude of the driven pendulum varies with its length.
5. 2(b)1 markThe last TWO readings in Table 2 seem to be extra readings. Why did the experimenter consider it necessary to go back and take these extra readings?
6. 2(c)3 marksCalculate the period and frequency of the heavy pendulum.
7. 2(d)1 markWhat is the resonant frequency of the light pendulum?
8. 3(a)4 marksComplete Table 3 to show the estimated uncertainty (random error) in EACH measurement.
9. 3(b)4 marksCalculate the value of the specific heat capacity given by this experiment TOGETHER with the uncertainty in the value.
10. 3(c)2 marksSuggest TWO ways in which the systematic error in this experiment could be reduced.
11. 4(a)(i)1 markDefine the term 'momentum.'
12. 4(a)(ii)1 markWhich TWO physical quantities are conserved in an elastic collision?
13. 4(a)(iii)1 markTWO of the spheres, each of mass m, are pulled to one side as shown in Figure II (b) and released so that they strike the others with velocity v. A student observing the demonstration predicts that immediately after the…
14. 4(a)(iv)8 marksIn fact in the above demonstration the incoming spheres come to rest but TWO spheres move off together on the other side with velocity v. Show that BOTH the conservation laws are now satisfied.
15. 4(b)(i)1 markWhat is the change of momentum of the car during this collision?
16. 4(b)(ii)1 markFind the impulse of the force acting on the car.
17. 4(b)(iii)1 markSketch a graph to show the typical variation of force with time during a collision like this and state what the area under the graph represents.
18. 4(b)(iv)1 markFind the average force acting on the car during the collision.
19. 4(b)(v)12 marksDiscuss why modern cars are designed to crumple in a head-on collision. Illustrate your answer with a sketch graph (labelled CRASH 2) using the same scale as in part (b) (iii) to show how the force varies with time when…
20. 5(a)(i)1 markExplain using Newton's laws how the propeller of a light aeroplane like the one shown in Figure IV is able to provide forward thrust.
21. 5(a)(ii)5 marksThe forward thrust caused by the propeller of an aeroplane is 18 000 N and the air flowing through it leaves with a velocity of 250 m s⁻¹. What mass of air must pass through the propeller EACH second?
22. 5(b)(i)1 markDraw a diagram like the one in Figure V with arrows to show the direction of the external forces acting on the aeroplane as it turns. On a second, similar diagram show the direction of the RESULTANT force acting on the…
23. 5(b)(ii)1 markCalculate the radius of the circular path for a plane of mass 3 000 kg with a horizontal speed of 120 km per hour if the resultant force acting is 16 000 N.
24. 5(b)(iii)1 markFind the size of the lift force on the plane and the banking angle θ.
25. 5(b)(iv)15 marksEach passenger on the light aeroplane must also experience a resultant unbalanced force to move in a circular path. With the aid of a diagram state how this force is provided.
26. 6(a)5 marksExplain the physical principles of the production of spectra by diffraction gratings. Include in your account an explanation of how the zero order, first order and second order spectra are produced.
27. 6(b)(i)1 markDraw a ray diagram to show the production of the zero, first and second order spectra of this light from this source by a diffraction grating.
28. 6(b)(ii)1 markThe diffraction grating produces a second order spectrum for the red light of wavelength 630 nm at an angle of 43.9° from the normal to the grating. What is the spacing of the lines in the grating? How many lines per…
29. 6(b)(iii)1 markFind the angle of deviation from the normal for the first order red light and first order yellow light of wavelength 570 nm.
30. 6(b)(iv)15 marksShow that the yellow light produces a 3rd order spectrum but the red light can only produce two orders with this grating.
31. 7(a)(i)1 markDerive the formula y = λD/a for interference of light waves from a double slit where y is the spacing of the fringes on a screen at a distance D from a double slit with spacing a and λ is the wavelength of the…
32. 7(a)(ii)8 marksExplain why the formula gives only an approximate value.
33. 7(b)(i)1 markFind the distances PX and QX from the speakers to the first maximum at X and hence find the wavelength of the sound waves.
34. 7(b)(ii)1 markWhat value does the formula y = λD/a give for the wavelength of the sound waves?
35. 7(b)(iii)1 markDiscuss the fact that the values given in (b) (i) and (ii) are different.
36. 7(b)(iv)1 markWhat is the frequency of the sound from the speakers?
37. 7(b)(v)12 marksThe phase of speaker P is changed by 180°. What effect will this have on the sound heard at points O and X ?
38. 8(a)(i)1 markWrite the formula for linear heat flow by conduction explaining EACH of the terms in the equation carefully.
39. 8(a)(ii)1 markWhen measuring the thermal conductivity of a sample of metal in the form of a cylinder it is usual for the cylinder to be about 20 cm long with a diameter of about 3 cm. Outline THREE reasons why these dimensions are…
40. 8(a)(iii)8 marksWhat is the MAIN potential source of error in an experiment like this and how is it overcome?
41. 8(b)(i)1 markSketch a graph to show how the temperature varies across the wall of the box.
42. 8(b)(ii)1 markThe thermal conductivity of plywood is 0.24 W m⁻¹ K⁻¹ whilst that of the plastic foam is 0.012 W m⁻¹ K⁻¹. Calculate the thickness of a piece of plywood which would have the same insulating effect as 1 cm of foam.
43. 8(b)(iii)12 marksUsing this equivalent thickness, or otherwise, find the rate of conduction of heat through a rectangular wall of the box which is 0.6 m by 0.4 m and deduce the temperatures at the two interfaces between plywood and…
44. 9(a)(i)1 markExplain why the molecules of a gas do not all move at the same speed.
45. 9(a)(ii)1 markWhat is the meaning of the term r.m.s. speed? How is it calculated?
46. 9(a)(iii)8 marksDerive the expression relating the r.m.s. speed of the molecules of an ideal gas to the pressure exerted by the gas: PV = (1/3)Nm c²
47. 9(b)(i)1 markWhat is the mass of the helium?
48. 9(b)(ii)1 markFind the r.m.s. speed of the helium molecules.
49. 9(b)(iii)12 marksWhat would be the r.m.s. speed of oxygen molecules (molar mass 32 g/mol) at the same temperature of 400 K?