CAPE Physics Unit 1 · 2015 · Paper 1

42 multiple-choice items from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

1. Q11 mark · multiple choiceFour students measure the circumference of a circular room of radius 5.00\text{ m} using a metre rule. Their recorded results are: 31.40 \pm 0.04\text{ m} 31.41 \pm 0.04\text{ m} 31.42 \pm 0.04\text{ m}…
2. Q21 mark · multiple choiceIn determining the density of a cube, a student records the following measurements: Length of side, l = 3.0 \pm 0.1\text{ cm} Mass of cube, m = 12.5 \pm 0.5\text{ g} The student then uses the equation…
3. Q41 mark · multiple choiceA metal case is dropped out of a hovering helicopter and plummets 80\text{ m} before hitting the ground. What is its velocity just before it hits the ground?
4. Q51 mark · multiple choiceAn object falls freely under gravity, g, from a height of 12.5\text{ m}. Which of the following equations can be used to determine the time, t, taken for the object to reach the ground?
5. Q61 mark · multiple choiceWhat is the gravitational field strength of a planet whose mass is one-third that of the Earth's and whose radius is one-half that of the Earth's? (The gravitational field strength of Earth is g.)
6. Q71 mark · multiple choiceThe frequency of a transverse wave travelling along a stretched string of length, l, with tension, T, is given by f = \frac{1}{2l}\sqrt{\frac{T}{\mu}} Which of the following units of \mu will make the…
7. Q81 mark · multiple choiceA ball is thrown vertically upwards and then caught at the same level from which it was thrown. Which of the following graphs would BEST represent the variation of the ball's acceleration with time?
8. Q91 mark · multiple choiceWhich of the following pairs of phrases is MOST appropriate for describing elastic and inelastic collisions?
9. Q101 mark · multiple choiceAn object of mass, m, travelling initially at a velocity, u, is acted upon by a force, F, for a period, t, until it is travelling with a velocity, v. Which of the following equations can be used to determine…
10. Q111 mark · multiple choiceA car with mass, m, moves around a circular road of radius, r, at a constant speed, v. Which of the following statements is/are true? I. The car's velocity changes and the magnitude of the acceleration is…
11. Q121 mark · multiple choiceItem 12 refers to the following graph which shows the velocity of a small ball bearing travelling through a measuring cylinder of glycerine. The points labelled X and Y represent respectively
12. Q131 mark · multiple choiceIf m is the mass of an object and E its kinetic energy, then its linear momentum is
13. Q141 mark · multiple choiceTwo cars of equal mass move with velocities V_A and V_B respectively. When the ratio of their kinetic energies is \frac{3}{2}, what is the ratio of their velocities?
14. Q151 mark · multiple choiceWhat is the power of an engine that delivers a driving force of 200\text{ N} and causes a body to move at a velocity of 15\text{ m s}^{-1}?
15. Q161 mark · multiple choiceA pendulum is held at its highest point and then released. A suitable graph to show one cycle of this motion could be
16. Q171 mark · multiple choiceThe displacement of a particle undergoing simple harmonic motion is given by x = 8 \sin 0.4 \pi t. The frequency of oscillation of the particle is
17. Q181 mark · multiple choiceWhich of the following pairs of words BEST describes how a wave disturbance moves in relation to the direction of energy transfer for longitudinal and transverse waves?
18. Q191 mark · multiple choiceItem 19 refers to the following two graphs which display the variation of displacement, with time and distance respectively, for the motion of a wave. What is the velocity of the wave?
19. Q201 mark · multiple choiceWhat is the phase difference between the two points A and B on the following graph?
20. Q211 mark · multiple choiceTwo sources of water waves, X and Y, generate waves which are of identical frequency but out of phase by 180^\circ. The waves from X are of amplitude 5\text{ m} and the waves from Y are of amplitude 3\text{ m}.…
21. Q221 mark · multiple choiceIn a double slit experiment using a monochromatic light source of wavelength 400\text{ nm}, the distance between the bright fringes was found to be 8.0\text{ mm}. If the screen is 5\text{ m} from the double slit,…
22. Q231 mark · multiple choiceThe power of a lens of focal length 15\text{ cm} is
23. Q241 mark · multiple choiceStationary waves are produced by superimposing progressive waves of frequency 500\text{ Hz}. Successive nodes are separated by a distance of 2\text{ m}. What is the speed of the progressive waves?
24. Q251 mark · multiple choiceWhich of the following statements is NOT true about reflection or refraction?
25. Q261 mark · multiple choiceWhich of the following statements concerning sound and light waves is correct?
26. Q271 mark · multiple choiceAt what angle does the second order constructive interference occur for red light of wavelength 700\text{ nm} through a diffraction grating that has 600\text{ lines per mm}?
27. Q281 mark · multiple choiceAs light travelling in air enters a medium, its speed changes to 2.4 \times 10^8\text{ m s}^{-1}. The refractive index of the medium is
28. Q291 mark · multiple choiceIn Young's double slit experiment, the separation between the slits is halved and the distance between the slits and screen is doubled. The fringe width is
29. Q301 mark · multiple choiceA student's range of hearing is from 40\text{ Hz} to 15\text{ kHz}. What is the SHORTEST wavelength of sound that the student can hear if the speed of sound in air is 330\text{ m s}^{-1}?
30. Q321 mark · multiple choiceThe triple point of water is chosen as the upper fixed point on the thermodynamic scale of temperature rather than the melting point of ice because
31. Q331 mark · multiple choiceThe thermal conductivity, k, of a material in the form of a uniform cylinder is to be determined from the rate of linear heat flow, P, its cross-sectional area, A, and the temperature gradient, G (where…
32. Q341 mark · multiple choiceIn an electrical method for determining the specific heat capacity of a metal, the following readings were obtained: Mass of metal: 2\text{ kg} Supply voltage: 240\text{ V} Current: 3\text{ A} Time for which heat…
33. Q351 mark · multiple choiceWater falls from a height of 500\text{ m}. What is the rise in temperature of the water at the bottom, if all the energy gained is converted to internal energy in the water?
34. Q361 mark · multiple choiceWhich of the following statements is/are true? I. While a substance is melting, its temperature remains constant. II. The triple point of a substance has a constant value. III. The boiling point of a liquid does not…
35. Q371 mark · multiple choiceWhich of the following statements is true about sight in human beings?
36. Q381 mark · multiple choiceWhich of the following methods of heat transfer occurs as a consequence of a change in the density of a substance?
37. Q391 mark · multiple choiceThe mean kinetic energy of the molecules in a sample of a monoatomic gas is 8.28 \times 10^{-23}\text{ J}. What is the temperature of the gas?
38. Q401 mark · multiple choiceA gas contains N molecules. The speeds of the molecules are C_1, C_2, \dots, C_N. Which of the following equations can be used to determine the root mean square speed of the molecules?
39. Q411 mark · multiple choiceWhich of the following graphs BEST represents the pressure of a gas as a function of its mass when the gas is pumped into a container of fixed volume and the temperature remains constant?
40. Q421 mark · multiple choiceA small black sphere has an absolute temperature, T_1. It is hung in the centre of an enclosure whose walls are at a higher absolute temperature, T_2. The net rate of gain of thermal energy by the sphere is…
41. Q431 mark · multiple choiceHelium gas is kept in a container at a pressure of 1.7 \times 10^5\text{ Pa}. If the density of helium is 0.92\text{ kg m}^{-3}, then what is the root mean square speed of the helium atoms?
42. Q451 mark · multiple choiceItem 45 refers to the following graph which shows the force in newtons, F, required for the extension in millimetres, E, of a material. According to the graph, which of the following statements is/are true? I. The…