CAPE Physics Unit 1 · 2011 · Paper 1

44 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 choiceA rubber ball of weight, W, is suspended from a support and is being displaced laterally at an angle, \theta^\circ, from the vertical by a wind of constant force, H. The ball is in equilibrium, and the tension in the…
2. Q21 mark · multiple choiceMary is on her way to New York and wants to ensure that her suitcase does NOT exceed the 50\text{ kg} limit. She stands on the scale and finds her mass is 55\text{ kg} \pm 1\text{ kg}. She next lifts her suitcase…
3. Q31 mark · multiple choiceItem 3 refers to the following quantities with their base units. P: \text{kg m}^{-3} Q: \text{kg m s}^{-2} R: \text{kg}^2\text{ m}^3\text{ s}^{-1} What quantity does \frac{PQ}{R} represent?
4. Q41 mark · multiple choiceThe number of moles of carbon-12 atoms in 0.060\text{ kg} is
5. Q51 mark · multiple choiceIf the average velocity of a particle is zero, then the distance it has travelled
6. 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.)
7. Q71 mark · multiple choiceItem 7 refers to the following graph which shows the motion of a ball as it falls from a height h, and bounces once. What is the height from which the ball was released?
8. Q81 mark · multiple choiceItem 8 refers to the following information. A light spring is permanently connected between two blocks of wood on a frictionless surface as shown in the diagram below. The masses of the blocks are 2.0\text{ kg} and…
9. Q91 mark · multiple choiceA rocket in gravity-free space is burning 5.0 \times 10^2\text{ kg} of fuel per second. The exhaust gases are expelled at 8.0 \times 10^3\text{ m s}^{-1} relative to the rocket, whose mass is…
10. Q101 mark · multiple choiceWhich of the following statements is NOT true about an object floating in a fluid?
11. Q121 mark · multiple choiceItem 12 refers to the following diagram which shows a plank in equilibrium when acted on by the forces P, T and W. From the diagram above which of the following statements is/are true? I. T + P = W II.…
12. Q131 mark · multiple choiceIf p is the momentum of an object of mass, m, then the expression \frac{p^2}{m} has the same unit as
13. Q141 mark · multiple choiceIf m is the mass of an object and E its kinetic energy, then its linear momentum is
14. Q151 mark · multiple choiceA student of weight 500\text{ N} is planning a trip to the peak of Blue Mountain. From her starting point, this will involve an increase in altitude of 1800\text{ m}. She buys "high calorie" energy bars which…
15. Q161 mark · multiple choiceWhich of the following graphs BEST represents the relationship between total energy, E_T, potential energy, E_P, kinetic energy, E_K, and displacement of a particle moving in a straight line with simple harmonic…
16. Q171 mark · multiple choiceThe displacement of a particle undergoing simple harmonic motion is given by x = 8 \sin(0.4\pi t) where x is in metres and t in seconds. The frequency of oscillation of the particle is
17. Q181 mark · multiple choiceItem 18 refers to the following information. A system made up of a light helical spring to which a small mass is attached, is forced to oscillate at different frequencies, f, in air. The response is shown in the…
18. Q191 mark · multiple choiceItem 19 refers to the following diagram. What is the relationship between the periods of A and B, T_A and T_B respectively, if the two springs are similar?
19. Q201 mark · multiple choiceTwo sources of water waves, X and Y, generate waves which are out of phase by 180^\circ. If the waves from X are of amplitude 5\text{ m} and the waves from Y are of amplitude 3\text{ m}, which of the following…
20. Q211 mark · multiple choiceThe principle of superposition of waves states that when two or more waves meet at a point, the resultant displacement is the
21. Q221 mark · multiple choiceWhich of the following statements concerning sound and light waves is correct?
22. Q231 mark · multiple choiceA communication satellite sends information to Earth in the form of electromagnetic waves in bursts of 5\text{ ms} duration. If the wavelength of the electromagnetic waves is 2 \times 10^{-6}\text{ m}, the number of…
23. Q241 mark · multiple choiceItem 24 refers to the following diagram which shows a stationary wave on a string at one instant in time. Where on this stationary wave does an antinode exist?
24. Q251 mark · multiple choiceWhen measuring the speed of sound in air, different vibrating tuning forks are held over the open end of a resonance tube and the length of air column lowered until the first loud note is heard. The following graph…
25. Q261 mark · multiple choiceA ship sends down a pulse of sound to measure the depth of the sea. The echo is detected 0.1\text{ s} later. Assuming that sound travels five times faster in sea-water than in the air, how deep is the sea at this…
26. Q271 mark · multiple choiceX-rays differ from microwaves in that they
27. Q281 mark · multiple choiceStanding waves are produced in a 10\text{ m} long stretched string. If the string vibrates in 5 segments and wave velocity is 20\text{ m s}^{-1}, the frequency is
28. Q291 mark · multiple choiceThe amplitude of a wave is increased from 4\text{ m} to 6\text{ m}. What is the change in intensity of the wave?
29. Q301 mark · multiple choiceAccommodation in the human eye refers to the
30. Q311 mark · multiple choiceWhich instrument is MOST suitable for measuring a rapidly changing temperature?
31. Q321 mark · multiple choiceThe length of the liquid column in a mercury thermometer at the ice point is 15\text{ mm} and at the steam point is 220\text{ mm}. When placed in a cup of tea the length of the mercury column is 195\text{ mm}.…
32. Q331 mark · multiple choiceAn immersion heater rated at 150\text{ W} is fitted into a large block of ice at 0\text{ }^\circ\text{C}. The specific latent heat of fusion of the ice is 3 \times 10^5\text{ J kg}^{-1}. How long does it take to…
33. Q341 mark · multiple choiceThe SI unit for heat capacity is
34. 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?
35. Q361 mark · multiple choiceGas in an enclosed system is allowed to expand with no thermal energy entering or leaving the system. Which of the following statements is true?
36. Q371 mark · multiple choiceA contractor builds an office window of height 150\text{ cm} and width 200\text{ cm} which contains a glass pane of thickness 0.5\text{ cm}. The temperature difference across the glass is 15\text{ K} and the…
37. Q381 mark · multiple choiceWhich graph BEST represents pressure 'P' 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?
38. Q391 mark · multiple choiceIn the Kinetic Theory for an ideal gas, which of the following statements is NOT a correct assumption?
39. 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 r.m.s speed of the molecules?
40. Q411 mark · multiple choiceItem 41 refers to the following diagram. In the U-tube manometer shown above, the pressure at X is atmospheric pressure (p_A) and the liquid in the tube has a density of \rho. The pressure at Y is equal to the…
41. Q421 mark · multiple choiceItem 42 refers to the following diagram. The material shown has length, l, and cross-sectional area, A. When a force, F, is applied to the material it causes an extension, e, in the material. Which of the…
42. 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}, calculate the root mean square speed of the helium atoms.
43. Q441 mark · multiple choiceWhich of the following graphs BEST represents how the extension of a ductile material varies progressively with the load attached?
44. Q451 mark · multiple choiceItem 45 refers to the following diagram. The figure above shows the force-extension graph of a wire. How much work is done in stretching the wire from an extension of 1\text{ mm} to 2\text{ mm}?