TEST CODE 02138010 FORM TP 201729.0. MAY/JUNE 2017 CARIBBEAN EXAMINATIONS COUNCIL CARIBBEAN ADVANCED PROFICIENCY EXAMINATION® PHYSICS Unit 1 - Paper 01 1 hour 30 minutes (08 JUNE 2017 (a.m.)) READ THE FOLLOWING INSTRUCTIONS CAREFULLY. This test consists of 45 items. You will have 1 hour and 30 minutes to answer them. In addition to this test booklet, you should have an answer sheet. Do not be concerned that the answer sheet provides spaces for more answers than there are items in this test Each item in this test has four suggested answers lettered (A), (B), (C), (D). Read each item you are about to answer and decide which choice is best On your answer sheet, find the number which corresponds to your item and shade the space having the same letter as the answer you have chosen Look at the sample item below. Sample Item Which of the following lists has one scalar quantity and one vector quantity? (A) (B) (C) (D) Sample Answer Force, velocity Mass, temperature Momentum, pressure Potential energy, volt The correct answer to this item is "Momentum, pressure", so (C) has been shaded. 6. If you want to change your answer, erase it completely before you fill in your new choice. 7. When you are told to begin, turn the page and work as quickly and as carefully as you can. If you cannot answer an item, go on to the next one You may return to that item later. 8. You may do any rough work in this booklet. 9. Figures are .not necessarily drawn to scale. 10. You may use a silent, non-programmable calculator to answer items. DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO. Copyright © 2015 Caribbean Examinations Council All rights reserved. LIST OF PHYSICAL CONSTANTS Universal gravitational constant = 6.67 x 10" NM2 kg2 Acceleration due to gravity = 9.81ms 2 = 1.00x105 Nm 2 Boltzmann's constant = 1.38x10 23 JK' Density of water = 1.00x103 kgnr3 1 Atmosphere atm Specific heat capacity of water, C = 4200 J kg-' K-' Specific latent heat of fusion of ice L1 = 3• 34x 105 Jkg' = 2.26x106 Jkg' W Specific latent heat of vaporization of water 1023 Avogadro's constant N = 6.02 x Molar gas constant R = 8.31J K-' mol' = 5.67 x 10-8 W m 2 K" Stefan—Boltzmann 's constant per mole Speed of light in free space (vacuum) C = 3.00x108 ms' Speed of sound in air C = 340ms' Planck's constant = 6.626x10 34 Js Triple point temperature = 273.16 K I tonne = 1000 kg GO ON TO THE NEXT PAGE 02138010/CAPE 2017 1. A student measures the circumference of 3.- a circular room of radius 5.00 m using a metre rule and obtained the result 31.41 m. Which of the following statements is correct? The measured circumference is (D) precise and accurate. The measured circumference is not precise and not accurate. The measured circumference is precise but not accurate The measured circumference is not precise but accurate.` In determining the density of a cube, a student records the following measurements: 4. Length of side, 1=3.0±0.1 cm (A) V versus r (B) V versus (C) In V versus In r (D) In V versus m. The student then uses the equation p = (D) 5. r Inr A metal case is dropped out of a hovering helicopter and .plummets 80 m before hitting the ground. What is its velocity just before it hits the ground.. (A) (B) (C) Mass of cube, m. = 12.5 ± 0.5 g to determine the density of the cube. The percentage error in. the calculated value of P is The terminal velocity of a spherical body falling through a viscous liquid is given by V= kr", where r is the radius of the sphere, and k and n are constants. The values of k and n can be determined by plotting a graph of 0.0 m 82ms' 28.0 m s' 39.6. m s-' An object falls freely under gravity, g, from a height of 12 5 m. Which of the following equations can be used to determine the (A) (B) (C) (D) 0.6 7 14 40 time, t, taken for the object to reach the ground? (A) 25 g (B) (C) 2s t=& 25 (D) g GO ON TO THE NEXT PAGE 0213 8010/CAPE 2017 -4 6. Avogadro's constant, NA, is numerically equal to the number of Item 8 refers to the following scenario. A swimmer of mass 66 000 g starts from (A) (B) (C) (D) atoms in 0.120 kg of carbon-12 atoms in.0.012 kg of carbon-12 molecules in 0.120 kg of carbon-12 molecules in 1.20 kg of carbon-12 rest and accelerates uniformly to the other end of the pool during a competition. His force against the water is 90 N. What is his acceleration? 7. An 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 the impulse of the force? (A) (B) (C) (D) 1.36 m s 2 7.3 ms-2 13.6 ms-2 m s-2 733 II. Impulse=my-mu Impulse = (A) (B) (C) (D) my — mu t I .only II only I and II only I and III only Which of the following pairs of phrases is MOST appropriate for describing elastic and inelastic collisions? Elastic Collision Inelastic Collision (A) Kinetic energy NOT conserved Momentum NOT conserved (B) Momentum conserved Kinetic energy NOT conserved (C) Kinetic energy conserved Kinetic energy conserved (D) Momentum conserved Bodies stick together GO ON TO THE NEXT PAGE 02138010/CAPE 2017 Item 10 refers to the following diagram of a small ball bearing falling from rest in a viscous liquid. The forces acting on the ball bearing are its weight, W, viscous drag, F, and upthrust, U. F 10. U When terminal velocity is achieved, which of the following conditions is satisfied? (A) (B) (C) (D) F+ U> W F+ U< W F+U=W F+U+.W=0. ,Item 11 refers to the following diagram which shows a plank in equilibrium when acted on by the forces P. T and W. T E— y 11. From the diagram above, which of the following statements are true? I. II. II1. T+P=W P(x+y)Wy Px = Ty (A) (B) (C) (D) I and II only I and III only II and III only I, II and III GO ON TO THE NEXT PAGE 0213 8010/CAPE 2017 -6Item 12 refers to the following diagram which shows a rectangular picture supported by two strings 12. 13. If m is the mass of an object and E its kinetic energy, then its linear momentum is (A) m'f (B) 2-JE (C) VmE (D) 42mE What is the value of T in the diagram above? (A) (B) (C) (D) 200N 300N 600N 1200N Item 14 refers to the following diagram which represents the track of a roller coaster. Ground level 14. At which point, Q, R, S or T, on the roller coaster track does the cart have maximum kinetic energy and minimum potential energy? (A) (B) (C) (D) Q R S T GO ON TO THE NEXT PAGE 021380101CAPE2017 -7 to Which of the following quantities is dimensionless? 15. • 16. (A) (B) (C) (D) Density Volume Kinetic energy Refractive index Which of the following graphs BEST represents the relationship between total energy, E7, potential energy, E1 , kinetic energy, EK, and displacement of a particle moving in a straight line with simple harmonic motion.? (A) (C) Energy Energy EK Displacement (B) Displacement (D) Energy Energy ET Displacement 17. Displacement The displacement of a particle undergoing simple harmonic motion is given by x = 8 sin (0.4 itt where x is in metres and t in seconds. The frequency of oscillation of the particle is (A) (B) (C) (D) • r4s. 0.2 Hz 0.4 Hz 5.0 Hz 8.0 Hz GO ON TO THE NEXT PAGE 02138010/CAPE 2017 -8 Item 18 refers to the following information. A system which is 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 frequency of the unclamped oscillator lsh The result is shown in the following diagram A I > Frequency 18. If the experiment were carried out in different pressure chambers, which graph reflects the chamber with the LOWEST pressure? (A) V PC I > fO Frequency Frequency (C) A (D)A > Frequency 10 > Frequency GO ON TO THE NEXT PAGE 02138010/CAPE 2017 -9Item 19 refers to the following two graphs which display the variation of displacement, with time and distance respectively, for the motion of a wave. 19. What is the velocity of the wave? 20. What is the phase difference between the two points, A and B, on the following graph? D (A) (B) 7it radians 2 3it radians lit (C) -y- radians (U) 3it radians GO ON TO THE NEXT PAGE 02138010/CAPE 2017 -10Item 21 refers to the following diagram which represents the waveform produced when a speaker is held over one open end of.a pipe of length 85 cm. 1= 85 cm 21. If the speed of sound is 340 m s, what is the waveform's fundamental frequency? (A) (B) (C) (D) 22. In a double slit experiment using a monochromatic light source of wavelength 400 nm, the distance between the bright fringes is found to be 8.0 mm If the screen is 5.0 m from the double slit, what is the slit separation? (A) (B) (C) (D) 23. 35 Hz 70 Hz 140 Hz 200 Hz 1.0x10 5 m 2.5x10 4 m 1.0x10 3 m 2.5x10 2 m 24. Which of the following statements concerning sound and light waves is correct? (A) (B) (C) (D) Both sound and light waves in air are longitudinal. Both sound and light waves in air are transverse. Sound waves in air are longitudinal and light waves are transverse. Sound waves in air are transverse and light waves are longitudinal. The intensity of sound is directly proportional to the (A) (B) (C) (D) amplitude of the oscillation wavelength of the oscillation square of the wavelength of the oscillation square of the amplitude of the oscillation GO ON TO THE NEXT PAGE 02138010/CAPE 2017 After investigating the refraction of water waves in a ripple tank, a student draws the following conclusions: 25. II. III. When refraction occurs, the wavelength of the waves changes. When the waves are incident along the normal, a change of frequency occurs Refraction is caused by a change in the speed of the waves Which of the conclusions above are correct? (A) (B) (C) (D) I and II only I and 111 only II and III only I, II and III Item 26 refers to the following diagram. Object 2F I F F 2F f MW AN 18 cm 26. An object is placed 18 cm in front of a convex lens of focal length 12 cm. The position of the image formed is at (A) (B) (C) (D) 27. 12 cm W X Y Z At what angle does the second order constructive interference occur for red light of wavelength 700 nm through a diffraction grating that has 600 lines per mm? (A) 12° 390 (B) 570 (C), (D) 900 28. Which of the following eye defects can be corrected by a cylindrical lens? (A) (B) (C) (D) Cataract Astigmatism Short-sightedness Long-sightedness GO ON TO THE NEXT PAGE 02138010/CAPE 2017 - 1212 29. How much intensity change in dB will take place with an increase in intensity from I mWm 2 to 100 MW m2? (A) (B) (C) (D) 30. 32. x —x (A) (B) (C) (D) 34. Which of the following instruments is MOST suitable for measuring a rapidly changing temperature.? Thermocouple Resistance thermometer Alcohol-in-glass thermometer Mercury-in-glass thermometer The 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 (A) (B) (C) (D) the thermodynamic scale is not an empirical scale it makes the scale more linear for gas thermometers the melting point of ice varies with the type of thermometer used to measure it it is precisely reproducible as it has only one possible temperature and pressure 0 xlOO°C, where x is a physical property that varies with temperature..Which of the following properties does x represent for a thermocouple9 Accommodation, in the human eye refers to the (A) (B) (C) (D) Temperatures on the empirical centigrade scale are determined by the formula X100 2O 3. dB, 20 dB 30dB adjustment of the lens to focus on objects according to their distance changing of the shape of the eye so that the image fits on the retina dilation of the pupil to allow more light to enter the eye use of lenses to correct defects in vision 31. 33. An uncalibrated mercury-in-glass thermometer when placed in a cup of water indicates the top of the mercury stem to be 14 cm above the bulb On placing the thermometer in pure melting ice, the height is 4 cm and in steam above pure boiling water, the height. is 28 cm What is the temperature of the water in the cup9 (A) (B) (C) (D) 35. Electromotive force (emf) Internal resistance Volume Length 35.7°C 41.7°C 50.0°C 58.3 °C Water falls from a height of 500 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? (A) (B) (C) (D) 0.19 K 0.24 K 0.49 K 1.17 K GO ON TO THE NEXT PAGE 02138010/CAPE 2017 - 13 3-- 36. Item 37 refers to a composite conductor with materials of thermal conductivities, k, k/2, k/3, which has insulated sides. Heat Js transferred through the conductor from left to right as shown in the diagram below. Each material has the same thickness. Which of the following statements are true about the process of thermal conduction in metals? 1. II III Electrons play a major role in the conduction process Adding moisture to an object increases its rate of thermal conduction Two objects need to be in contact for conduction to take place between them I and II only land III only II and III only I, II and III *- Insulation t2 t3 t4 /ti k Qk/2 A .4- X . X ..... .. X ...-. 37. -Insulation Which of the following graphs BEST descnbes the temperature gradient of the composite wall? (A) A A ti (C) t2 t3 t4 --x - -ø_F.-x A (D) ti t3 t4.__ -.-x 4.LX4X -61 GO ON TO THE NEXT PAGE 02138010/CAPE 2017 - 1414 38. The rate of energy radiated by a perfectly black body is proportional to (A) (B) (C) (D) 39. its celsius temperature its kelvin temperature the square of its kelvin temperature the fourth power of its kelvin temperature 40. Four different liquids are poured into identical measuring cylinders. Which of the following diagrams shows the liquid that exerts the GREATEST pressure on the base of its measuring cylinder? A) The mean kinetic energy of the molecules in a sample of a monoatomic gas is 8.28 x 10-21 J What is the temperature of the gas? (A) (B) (C), (D) 250K 300K 350K 400 K 2gcm 3 10 CM (B) 1.6gcm 3 20 cm 1.2gcm 3 (C) 30cm 0.7gcm 3 (D) 40 cm GO ON TO THE NEXT PAGE 02138010/CAPE 2017 - 15 5-Item 41 refers to the following P—V Item graph for a gas undergoing a cycle Q R—+S--+T--+Q 43. (x 10) P(Pa) Helium gas is kept in a container at a pressure of 1 7 x 105 Pa If the density of helium is 092 kg m , what is the root mean square speed of the helium atoms? (A) (B) (C) (D) A 248 m s' .330M S-' 430ms' 745 m s 1.6 44. 0.8 Which of the following graphs correctly shows the force, F, vs extension, E, for copper, glass and rubber? (A) 1.4 41. 2.0 In which section of the cycle is no work being done on the gas? (A) (B) (C) (D) 42. 1.6 Q--+R R S T—Q A small black sphere has an absolute temperature, T1 It is hung in the centre of an enclosure whose walls are at a higher absolute temperature, T2 The net rate of gain of thermal energy by the sphere is proportional to (A) (B) (C) (D) (T1 )4 (T2)4 (T2)4 —(T1 )4 (7;—T1 )4 (C) F(N) E(mm) (D) Glass Copper Rubber E(mm) Fc. GO ON TO THE NEXT PAGE 02138010/CAPE 2017 - 1645. The first law of thermodynamics is sometimes expressed as L\Q = AU + AW. Which of the following statements is correct? (A) (B) (C) (D) W represents work done by the system. AW represents the work done on the system AU represents heat energy added to the system AQ represents internal energy removed from the system. END OF TEST IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST. 021 IR01fl/CADP "nil