Physics Workbook 12 Grade

1

11th Grade Midterm Workbook

1. Which of the following is not an example of approximate simple harmonic motion?a. a ball bouncing on the floorb. a child swinging on a swingc. a piano wire that has been struckd. a car’s radio antenna waving back and forth

2. Vibration of an object about an equilibrium point is called simple harmonic motion when the restoring force is proportional toa. time.b. displacement.c. a spring constant.d. mass.

3. Tripling the displacement from equilibrium of an object in simple harmonic motion will change the magnitude of the object’s maximum acceleration by what factor?a. one-thirdb. 1c. 3d. 9

4. A mass attached to a spring vibrates back and forth. At the equilibrium position, thea. acceleration reaches a maximum.b. velocity reaches a maximum.c. net force reaches a maximum.d. velocity reaches zero.

5. A mass attached to a spring vibrates back and forth. At maximum displacement, the spring force and thea. velocity reach a maximum.b. velocity reach zero.c. acceleration reach a maximum.d. acceleration reach zero.

6. A simple pendulum swings in simple harmonic motion. At maximum displacement,a. the acceleration reaches a maximum.b. the velocity reaches a maximum.c. the acceleration reaches zero.d. the restoring force reaches zero.

7. A mass-spring system can oscillate with simple harmonic motion because a compressed or stretched spring has which kind of energy?a. kineticb. mechanicalc. gravitational potentiald. elastic potential

8. The angle between the string of a pendulum at its equilibrium position and at its maximum displacement is the pendulum’sa. period.b. frequency.c. vibration.d. amplitude.

9. For a mass hanging from a spring, the maximum displacement the spring is stretched or compressed from its equilibrium position is the system’sa. amplitude.b. period.c. frequency.d. acceleration.

10. A pendulum swings through a total of 28°. If the displacement is equal on each side of the equilibrium position, what is the amplitude of this vibration? (Disregard frictional forces acting on the pendulum.)a. 28°b. 14°c. 56°d. 7.0°

11. A child on a playground swings through a total of 32°. If the displacement is equal on each side of the equilibrium position, what is the amplitude of this vibration? (Disregard frictional forces acting on the swing.)a. 8.0°b. 16°c. 32°d. 64°

Garin Rahmat Nugroho

Highlight


Highlight

Name: ______________________ ID: A

2

12. For a system in simple harmonic motion, which of the following is the time required to complete a cycle of motion?a. amplitudeb. periodc. frequencyd. revolution

13. For a system in simple harmonic motion, which of the following is the number of cycles or vibrations per unit of time?a. amplitudeb. periodc. frequencyd. revolution

14. How are frequency and period related in simple harmonic motion?a. They are directly related.b. They are inversely related.c. Their sum is constant.d. Both measure the number of cycles per unit

of time.

15. If a pendulum is adjusted so that its frequency changes from 10 Hz to 20 Hz, its period will change from n seconds toa. n/4 seconds.b. n/2 seconds.c. 2n seconds.d. 4n seconds.

16. Which of the following features of a given pendulum changes when the pendulum is moved from Earth’s surface to the moon?a. the massb. the lengthc. the equilibrium positiond. the restoring force

17. A wave travels through a medium. As the wave passes, the particles of the medium vibrate in a direction perpendicular to the direction of the wave’s motion. The wave isa. longitudinal.b. a pulse.c. electromagnetic.d. transverse.

18. Which of the following is a single nonperiodic disturbance?a. pulse waveb. periodic wavec. sine waved. transverse wave

19. One end of a taut rope is fixed to a post. What type of wave is produced if the free end is quickly raised and lowered one time?a. pulse waveb. periodic wavec. sine waved. longitudinal wave

Name: ______________________ ID: A

3

20. Each compression in the waveform of the longitudinal wave shown above corresponds to what feature of the transverse wave below it?a. wavelengthb. crestsc. troughsd. amplitude

21. Each stretched region in the waveform of the longitudinal wave shown above corresponds to what feature of the transverse wave below it?a. wavelengthb. crestsc. troughsd. amplitude

22. Which of the following most affects the wavelength of a mechanical wave moving through a medium? Assume that the frequency of the wave remains constant.a. the nature of the mediumb. the amplitudec. the height of a crestd. the energy carried by the wave

23. Suppose that two sound waves passing through the same medium have different wavelengths. Which of the following is most likely to be the reason for the differing wavelengths?a. the nature of the mediumb. differences in amplitudec. differences in frequencyd. the type of wave

24. When a mechanical wave’s amplitude is tripled, the energy the wave carries in a given time interval is increased by a factor ofa. 3.b. 6.c. 9.d. 18.

25. When a mechanical wave’s amplitude is reduced by half, the energy the wave carries in a given time interval isa. doubled.b. increased by a factor of 1.4.c. decreased to one-half.d. decreased to one-fourth.

26. Two mechanical waves can occupy the same space at the same time because wavesa. are matter.b. are displacements of matter.c. do not cause interference patterns.d. cannot pass through one another.

27. Two waves traveling in opposite directions on a rope meet and undergo complete destructive interference. Which of the following best describes the waves a moment after the waves meet and coincide?a. The waves no longer exist.b. The waves continue unchanged.c. The waves reflect and travel backward.d. A single wave continues along the rope.

Name: ______________________ ID: A

4

28. When two mechanical waves coincide, the amplitude of the resultant wave is always ____ the amplitudes of each wave alone.a. greater thanb. less thanc. the sum ofd. the same as

29. Two mechanical waves that have positive displacements from the equilibrium position meet and coincide. What kind of interference occurs?a. constructiveb. destructivec. complete destructive d. none

30. Two mechanical waves meet and coincide. One wave has a positive displacement from the equilibrium position, and the other wave has a negative displacement. What kind of interference occurs?a. constructiveb. destructivec. complete constructive d. none

31. Which of the following types of interference will occur when the pulses in the figure above meet?a. no interferenceb. constructive interferencec. destructive interference d. total interference

32. Which of the following types of interference will occur when the pulses in the figure above meet?a. no interferenceb. constructive interferencec. destructive interferenced. total interference

33. Which of the following types of interference will occur when the pulses in the figure above meet?a. no interferenceb. complete constructive interferencec. partial interferenced. complete destructive interference

34. Consider two identical wave pulses on a rope having a fixed end. Suppose the first pulse reaches the end of the rope, is reflected back, and then meets the second pulse. When the two pulses overlap exactly, what will be the amplitude of the resultant pulse?a. zerob. same as the original pulsesc. double the amplitude of the original pulsesd. half the amplitude of the original pulses

35. Waves arriving at a fixed boundary area. neither reflected nor inverted.b. reflected but not inverted.c. reflected and inverted.d. inverted but not reflected.

36. Waves arriving at a free boundary area. neither reflected nor inverted.b. reflected but not inverted.c. reflected and inverted.d. inverted but not reflected.

Name: ______________________ ID: A

5

37. A student sends a pulse traveling on a taut rope with one end attached to a post. What will the student observe?a. The pulse will not be reflected if the rope is

free to slide up and down on the post.b. The pulse will be reflected and inverted if the

rope is free to slide up and down on the post.c. The pulse will be reflected and inverted if the

rope is fixed to the post.d. The pulse will not be inverted if the rope is

fixed to the post.

38. Standing waves are produced by periodic waves ofa. any amplitude and wavelength traveling in

the same direction.b. the same amplitude and wavelength traveling

in the same direction.c. any amplitude and wavelength traveling in

opposite directions.d. the same frequency, amplitude, and

wavelength traveling in opposite directions.

39. A 2.0 m long stretched rope is fixed at both ends. Which wavelength would not produce standing waves on this rope?a. 2.0 mb. 3.0 mc. 4.0 md. 6.0 m

40. Which of the following wavelengths would produce standing waves on a string approximately 3.5 m long?a. 2.33 mb. 2.85 mc. 3.75 md. 4.55 m

41. Which of the following wavelengths would not produce standing waves on a rope whose length is 1 m?a. 2/3 mb. 1 mc. 2 md. 2 1/4 m

42. The standing wave shown in the diagram above would be produced on a string of length L by a wave having wavelengtha. 1/2 L.b. L.c. 2 L.d. 4 L.

43. How many nodes and antinodes are shown in the standing wave above?a. two nodes and three antinodesb. one node and two antinodesc. one-third node and one antinoded. three nodes and two antinodes

44. A 3.0 m long stretched string is fixed at both ends. If standing waves with a wavelength of two-thirds L are produced on this string, how many nodes will be formed?a. 0b. 2c. 3d. 4

45. What is the fewest number of nodes a standing wave can have?a. 1b. 2c. 3d. 4

Name: ______________________ ID: A

6

46. How many nodes and antinodes are shown in the standing wave above?a. four nodes and four antinodesb. four nodes and three antinodesc. four nodes and five antinodesd. five nodes and four antinodes

47. In the diagram above, use the superposition principle to find the resultant wave of waves X and Y.a. ab. bc. cd. d

48. In the diagram above, use the superposition principle to find the resultant wave of waves Q and R.a. ab. bc. cd. d

49. The time for one cycle of a periodic process is called the

a. amplitude. b. wavelength.c. frequency. d. period.

50. For a periodic process, the number of cycles per unit time is called the

a. amplitude. b. wavelength. c. frequency. d. period.

51. For vibrational motion, the maximum displacement from the equilibrium point is called the

a. amplitude. b. wavelength. c. frequency. d. period.

Name: ______________________ ID: A

7

52. A mass on a spring undergoes SHM. When the mass is at its maximum displacement from equilibrium, its instantaneous velocity

a. is maximum. b. is less than maximum, but not zero. c. is zero. d. cannot be determined from the information given.

53. A mass on a spring undergoes SHM. When the mass passes through the equilibrium position, its instantaneous velocity

a. is maximum. b. is less than maximum, but not zero. c. is zero. d. cannot be determined from the information given.

54. A mass on a spring undergoes SHM. When the mass is at maximum displacement from equilibrium, its instantaneous acceleration

a. is a maximum. b. is less than maximum, but not zero. c. is zero.d. cannot be determined from the information given

55. A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?

a. at either A or B b. midway between A and B c. one-fourth of the way between A and B d. none of the above

56. A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a maximum?


57. A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a minimum?


58. A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its potential energy is a maximum?


59. In a wave, the maximum displacement of points of the wave from equilibrium is called the wave's a. speed. b. frequency. c. wavelength. d. amplitude.

60. The distance between successive crests on a wave is called the wave's

a. speed. b. frequency. c. wavelength.d. amplitude.

61. The number of crests of a wave passing a point per unit time is called the wave's a. speed. b. frequency. c. wavelength. d. amplitude.

62. For a wave, the frequency times the wavelength is the wave's

a. speed. b. amplitude. c. intensity. d. power.

Name: ______________________ ID: A

8

63. The frequency of a wave increases. What happens to the distance between successive crests if the speed remains constant?

a. It increases. b. It remains the same. c. It decreases. d. It cannot be determined from the information given.

64. A wave moves on a string with wavelength ë and frequency f. A second wave on the same string has wavelength 2ë and travels with the same velocity. What is the frequency of the second wave? a. 0.5f b. fc. 2f d. It cannot be determined from the information given.

65. Consider a traveling wave on a string of length L, mass M, and tension T. A standing wave is set up. Which of the following is true?

a. The wave velocity depends on M, L, T. b. The wavelength of the wave is proportional to the

frequency. c. The particle velocity is equal to the wave velocity. d. The wavelength is proportional to T.

66. A string of mass m and length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, with no change in length?

a. 0.5v b. 0.71v c. 1.4v d. 2v

67. A string of mass m and length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

a. 0.5v b. 0.71v c. 1.4v d. 2v

68. A string of mass m and length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave in the string if the tension is increased to 2T?

a. 0.5T b. 0.71T c. 1.4T d. 2T

69. A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

a. Both are right side up. b. The reflected pulse returns right side up while the

transmitted pulse is inverted.c. The reflected pulse returns inverted while the

transmitted pulse is right side up. d. Both are inverted.

70. Two wave pulses with equal positive amplitudes pass each other on a string, one is traveling toward the right and the other toward the left. At the point that they occupy the same region of space at the same time a. constructive interference occurs. b. destructive interference occurs. c. a standing wave is produced. d. a traveling wave is produced.

71. Two wave pulses pass each other on a string. The one traveling toward the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

a. constructive interference occurs. b. destructive interference occurs. c. a standing wave is produced.d. a traveling wave is produced.

72. What is the spring constant of a spring that stretches 2.00 cm when a mass of 0.600 kg is suspended from it?

a. 0.300 N/m b. 30.0 N/m c. 2.94 N/m d. 294 N/m


Highlight

Name: ______________________ ID: A

9

73. A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the amplitude?

a. 0.030 m b. 0.083 m c. 0.30 m d. 0.83 m

74. A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

a. 0.50 s b. 1.0 sc. 1.5 s d. 2.0 s

75. A mass is attached to a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

a. 0.50 Hz b. 1.0 Hz c. 1.5 Hz d. 2.0 Hz

76. A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period?

a. 0.020 s b. 0.50 s c. 2.0 s d. 50 s

77. A mass vibrates back and forth from the free end of an ideal spring of spring constant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

a. zero b. 0.90 J c. 0.45 J d. It is impossible to give an answer without knowing

the object's mass.

78. A pendulum makes 12 complete swings in 8.0 s. (a) What are its frequency and period on Earth?

a. 1.5 Hz, 0.67 s b. 0.67 Hz, 1.5 s c. 0.24 Hz, 4.2 s d. 4.2 Hz, 0.24 s

79. A 3.00-kg pendulum is 28.84 m long. What is its period on Earth?

a. 10.78 s b. 7.891 s c. 4.897 s d. 0.09278 s

80. A pendulum has a period of 2.0 s on Earth. What is its length?

a. 2.0 m b. 1.0 mc. 0.70 m d. 0.50 m

81. The pendulum of a grandfather clock is 1.0 m long. What is its period on the Earth?

a. 1.0 s b. 2.0 s c. 4.0 s d. 8.0 s

Name: ______________________ ID: A

10

82. The pendulum of a grandfather clock is 1.0 m long. What is its period on the Moon where the acceleration due to gravity is only 1.7 m/s2?

a. 1.2 s b. 2.4 s c. 4.8 s d. 23 s

83. A simple pendulum consists of a 0.25-kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string instead? a. 1.0 Hz b. 2.0 Hz c. 1.4 Hz d. none of the above

84. FIGURE 11-2

Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the amplitude?

a. 0.05 m b. 0.10 m c. 0.15 m d. 0.20 m

85.

FIGURE 11-2Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wavelength?

a. 0.05 m b. 0.10 m c. 0.20 m d. 0.30 m

86. FIGURE 11-2Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave speed?

a. 12 m/s b. 24 m/s c. 36 m/s d. 48 m/s

Name: ______________________ ID: A

11

87. What is the frequency of a wave which has a period of 6.00 ms?

a. 16.7 Hz b. 167 Hz c. 1.67 kHz d. 16.7 kHz

88. What is the period of a wave with a frequency of 1500 Hz?

a. 0.67 ìs b. 0.67 ms c. 0.67 s d. 6.7 s

Problem

89. If a force of 52 N stretches a spring 0.36 m, what is the spring constant?

90. A 0.35 kg mass suspended from a spring moves with simple harmonic motion. At the instant the mass is displaced from equilibrium by –0.105 m, what is its acceleration? (The spring constant is 11.8 N/m.)

91. How much displacement will a coil spring with a spring constant of 110 N/m achieve if it is stretched by a 70 N force?

92. A mass on a spring that has been compressed 0.29 m has a restoring force of 82 N. What is the spring constant?

93. An amusement park ride has a frequency of 0.064 Hz. What is the ride’s period?

94. Imagine that you could transport a simple pendulum from Earth to another planet or moon, where the free-fall acceleration is one-fifth that on Earth. By what factor would the pendulum’s frequency be changed? Express the answer with one significant figure.

95. An amusement park ride swings back and forth once every 17.4 s. What is the ride’s frequency?

96. A mass on a spring vibrates in simple harmonic motion at an amplitude of 8.0 cm. If the mass of the object is 0.65 kg and the spring constant is 120 N/m, what is the frequency?

97. A truck with bad shock absorbers bounces up and down after hitting a bump. The truck has a mass of 1700 kg and is supported by four springs, each having a spring constant of 6200 N/m. What is the period for each spring?

98. What is the period of a 6.93 m long pendulum with a bob of mass 68.0 kg? Assume the acceleration due to gravity is 9.81 m/s2 .

99. On the planet Xenos, an astronaut observes that a 1.88 m long pendulum has a period of 1.85 s. What is the free-fall acceleration on Xenos?

100. A student wishes to construct a mass-spring system that will oscillate with the same frequency as a swinging pendulum with a period of 3.99 s. The student has a spring with a spring constant of 77.1 N/m. What mass should the student use to construct the mass-spring system?

101. A periodic wave has a wavelength of 0.58 m and a speed of 14 m/s. What is the wave frequency?

102. A musical tone sounded on a piano has a frequency of 215.1 Hz and a wavelength of 1.47 m. What is the speed of the sound wave?

103. Radio waves from an FM station have a frequency of 95.9 MHz. If the waves travel

with a speed of 3.00 × 108 m/s, what is the wavelength?

Name: ______________________ ID: A

12

104. Bats chirp at high frequencies that humans cannot hear. They use the echoes to detect objects, such as insects, that are as small as one wavelength. If a bat emits a chirp at a frequency of 45.4 kHz and the speed of sound waves in air is 340 m/s, what is the size in millimeters of the smallest insect that the bat can detect?

105. Waves propagate along a stretched string at a speed of 6.9 m/s. The end of the string vibrates up and down once every 3.6 s. What is the wavelength of the waves traveling along the string?

106. Vibration of a certain frequency produces a standing wave on a stretched string that is 1.6 m long. The standing wave has 7 nodes and 5 antinodes. What is the wavelength of the wave that produces this standing wave?

ID: A

1

11th Grade Midterm WorkbookAnswer Section

MULTIPLE CHOICE

1. ANS: A PTS: 1 DIF: I OBJ: 11-1.12. ANS: B PTS: 1 DIF: II OBJ: 11-1.13. ANS: C PTS: 1 DIF: II OBJ: 11-1.24. ANS: B PTS: 1 DIF: I OBJ: 11-1.25. ANS: C PTS: 1 DIF: I OBJ: 11-1.26. ANS: A PTS: 1 DIF: I OBJ: 11-1.27. ANS: D PTS: 1 DIF: II OBJ: 11-1.28. ANS: D PTS: 1 DIF: I OBJ: 11-2.19. ANS: A PTS: 1 DIF: I OBJ: 11-2.1

10. ANS: B PTS: 1 DIF: II OBJ: 11-2.111. ANS: B PTS: 1 DIF: II OBJ: 11-2.112. ANS: B PTS: 1 DIF: I OBJ: 11-2.213. ANS: C PTS: 1 DIF: I OBJ: 11-2.214. ANS: B PTS: 1 DIF: I OBJ: 11-2.215. ANS: B PTS: 1 DIF: II OBJ: 11-2.216. ANS: D PTS: 1 DIF: IIIA OBJ: 11-2.317. ANS: D PTS: 1 DIF: I OBJ: 11-3.118. ANS: A PTS: 1 DIF: I OBJ: 11-3.219. ANS: A PTS: 1 DIF: I OBJ: 11-3.220. ANS: B PTS: 1 DIF: I OBJ: 11-3.321. ANS: C PTS: 1 DIF: I OBJ: 11-3.322. ANS: A PTS: 1 DIF: II OBJ: 11-3.423. ANS: C PTS: 1 DIF: II OBJ: 11-3.424. ANS: C PTS: 1 DIF: I OBJ: 11-3.525. ANS: D PTS: 1 DIF: II OBJ: 11-3.526. ANS: B PTS: 1 DIF: I OBJ: 11-4.127. ANS: B PTS: 1 DIF: II OBJ: 11-4.128. ANS: C PTS: 1 DIF: I OBJ: 11-4.229. ANS: A PTS: 1 DIF: I OBJ: 11-4.230. ANS: B PTS: 1 DIF: I OBJ: 11-4.231. ANS: B PTS: 1 DIF: I OBJ: 11-4.232. ANS: C PTS: 1 DIF: I OBJ: 11-4.233. ANS: D PTS: 1 DIF: I OBJ: 11-4.234. ANS: A PTS: 1 DIF: IIIA OBJ: 11-4.335. ANS: C PTS: 1 DIF: I OBJ: 11-4.336. ANS: B PTS: 1 DIF: I OBJ: 11-4.337. ANS: C PTS: 1 DIF: II OBJ: 11-4.338. ANS: D PTS: 1 DIF: I OBJ: 11-4.439. ANS: B PTS: 1 DIF: IIIA OBJ: 11-4.440. ANS: A PTS: 1 DIF: IIIC OBJ: 11-4.441. ANS: D PTS: 1 DIF: I OBJ: 11-4.442. ANS: B PTS: 1 DIF: II OBJ: 11-4.443. ANS: D PTS: 1 DIF: I OBJ: 11-4.544. ANS: D PTS: 1 DIF: II OBJ: 11-4.5

ID: A

2

45. ANS: B PTS: 1 DIF: I OBJ: 11-4.546. ANS: D PTS: 1 DIF: I OBJ: 11-4.547. ANS: A PTS: 1 DIF: II OBJ: 11-4.148. ANS: B PTS: 1 DIF: II OBJ: 11-4.149. ANS: D PTS: 1 DIF: 1

REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 50. ANS: C PTS: 1 DIF: 1

REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 51. ANS: A PTS: 1 DIF: 1

REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 52. ANS: C PTS: 1 DIF: 1




REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 56. ANS: B PTS: 1 DIF: 2

REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 57. ANS: B PTS: 1 DIF: 2


REF: SHM, Energy in SHM, Period and Sinusoidal Nature of SHM 59. ANS: D PTS: 1 DIF: 1

REF: Wave Motion, Types of Waves; Transverse and Longitudinal 60. ANS: C PTS: 1 DIF: 1

REF: Wave Motion, Types of Waves; Transverse and Longitudinal 61. ANS: B PTS: 1 DIF: 1

REF: Wave Motion, Types of Waves; Transverse and Longitudinal 62. ANS: A PTS: 1 DIF: 1




REF: Wave Motion, Types of Waves; Transverse and Longitudinal 66. ANS: B PTS: 1 DIF: 1



REF: Wave Motion, Types of Waves; Transverse and Longitudinal 69. ANS: C PTS: 1 DIF: 1 REF: Reflection and Transmissionof

Waves 70. ANS: A PTS: 1 DIF: 1

REF: Interference ; Principle of Superposition 71. ANS: B PTS: 1 DIF: 1

REF: Interference ; Principle of Superposition

ID: A

3

72. ANS: D PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

73. ANS: B PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

74. ANS: D PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

75. ANS: A PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

76. ANS: B PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

77. ANS: A PTS: 1 DIF: 1 REF: Reflection and Transmission of Waves, Interference; Principle of Superpisition, Standing Waves : Resonance NOT: Q

78. ANS: A PTS: 1 DIF: 1 REF: Refraction NOT: Q

79. ANS: A PTS: 1 DIF: 1 REF: RefractionNOT: Q

80. ANS: B PTS: 1 DIF: 1 REF: RefractionNOT: Q

81. ANS: B PTS: 1 DIF: 1 REF: Refraction NOT: Q

82. ANS: C PTS: 1 DIF: 1 REF: RefractionNOT: Q

83. ANS: B PTS: 1 DIF: 1 REF: RefractionNOT: Q

84. ANS: B PTS: 1 DIF: 1 REF: Wave Motion, Types of Waves: Transverse and Longitudinal NOT: Q

85. ANS: C PTS: 1 DIF: 1 REF: Wave Motion, Types of Waves: Transverse and Longitudinal NOT: Q




ID: A

4

PROBLEM

89. ANS: 140 N/m

GivenF elastic = 52 N x = −0.36 m

SolutionF elastic = −kx

k =−F elastic

x= −52 N−0.36 m

k = 140 N/m

PTS: 1 DIF: IIIA OBJ: 11-1.390. ANS:

3.5 m/s2

Givenm = 0.35 kgk = 11.8 N/mx = –0.105 m

SolutionF = −kx and F = mam a = −kx

a = −kxm

=−(11.8 N/m)(¢0.105 m)

0.35 kg

a = 3.5 N/kg = 3.5 m/s2


–0.6 m

Givenk = 110 N/mF elastic = 70 N

SolutionF elastic = –kx

x = −F elastic

k= − 70 N

110 N/mx = –0.6 m

PTS: 1 DIF: IIIA OBJ: 11-1.3

ID: A

5

92. ANS: 280 N/m

Givenx = –0.29 mF elastic = 82 N

SolutionF elastic = –kx

k = −F elastic

x= − 82 N

¢0.29 mk = 280 N/m

PTS: 1 DIF: IIIB OBJ: 11-1.393. ANS:

16 s

Givenf = 0.064 Hz

Solution

T = 1f= 1

0.064 Hz

T = 16 s


ID: A

6

94. ANS: 0.4

Given

a g = 15

g

Solution

T = 2π La g

Because L and 2π remain constant when the pendulum is relocated,

Tnew ∝ 1a g

,

where a g is the gravitational acceleration of the planet or moon.

Tnew

TEarth

=

1a g

1g

=g

a g

f = 1T

, sofnew

fEarth

=TEarth

Tnew

=a g

g= 1

5= 0.4


5.75 × 10−2 Hz

GivenT = 17.4 s

Solution

f = 1T= 1

17.4= 5.75 × 10 −2 Hz


ID: A

7

96. ANS: 2.1 Hz

Givenx = 8.0 cmm = 0.65 kgk = 120 N/m

Solution

T = 2π mk

and f = 1T

, so

f = 1

2π mk

= 12π

km

f = 12π

120 N/m0.65 kg

= 2.1 Hz


1.6 s

Givenm total = 1700 kg

k(per spring) = 6200 N/m

SolutionAssume that the total mass of 1700 kg is supported equally on the four springs. Each spring then supports 1700/4 kg.

T = 2π mk

= 2π(1700 / 4) kg

6200 N/m= 1.6 s

PTS: 1 DIF: IIIB OBJ: 11-2.3

ID: A

8

98. ANS: 5.28 s

GivenL = 6.93 mm = 68.0 kgg = 9.81 m/s2

Solution

T = 2π La g

= 2π 6.93 m9.81 m/s2

= 5.28 s


21.7 m/s2

GivenL = 1.88 mT = 1.85 s

Solution

T = 2π La g

, so T2 = 4π2 La g

Ê

Ë

ÁÁÁÁÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃˜̃̃˜

a g = 4π2 LT2

= 4π2 1.88 m1.85 s( ) 2

Ê

Ë

ÁÁÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃˜̃= 21.7 m/s2


ID: A

9

100. ANS: 31.1 kg

GivenTpendulum = 3.99 s

k = 77.1 N/m

SolutionIf both systems have the same frequency, they will also have the same period.Therefore, the given period may be substituted into the equation for a mass-spring system.

T = 2π mk

T2 = 4π2 mk

Ê

Ë

ÁÁÁÁÁÁ

ˆ

¯

˜̃̃˜̃̃

m = T2 k4π2

= 3.99 s( ) 2 77.1 N/m( )

4π2= 31.1 kg

PTS: 1 DIF: IIIC OBJ: 11-2.3101. ANS:

24 Hz

Givenv = 0.58 m/sλ = 14 m

Solutionv = fλ

f = vλ= 14 m/s

0.58 m = 24 Hz


316 m/s

Givenf = 215.1 Hzλ = 1.47 m

Solutionv = fλv = (215.1 Hz)(1.47 m) = 316 m/s


ID: A

10

103. ANS: 3.13 m

Given

f = 95.9 MHz = 0.959 × 108 Hz

v = 3.00 × 108 m/s

Solutionv = fλ

λ = vf= 3.00 × 10 8 m/s

0.959 × 10 8 Hz= 3.13 m


7.5 mm

Givenf = 45.4 kHzv = 340 m/s

Solutionv = fλ

f = 45.4 kHz = 4.54 × 10 4 Hz

λ = vf= 340 m/s

4.54 × 10 4 Hz= 0.0075 m = 7.5 mm


25 m

Givenv = 6.9 m/sT = 3.6 s

Solution

f = 1T= 1

3.6 s= 0.28 Hz

v = fλ

λ = vf= 6.9 m/s

0.28 Hz= 25 m


ID: A

11

106. ANS: 0.64 m

GivenL = 1.6 mThe standing wave has 5 antinodes, i.e., 5 loops.

SolutionA single loop (antinode) is produced by a wavelength equal to 2L. Two loops (one complete wavelength) are produced by a wavelength of L. A wavelength of 2/3 L results in 3 antinodes. The following pattern emerges.

1 loop λ = 2L/1 = 2L2 loops λ = 2L/2 = L3 loops λ = 2L/3 = 2/3 L4 loops λ = 2L/4 = 1/2 L5 loops λ = 2L/5 = 2/5 L

therefore,

λ = 25× L =

2(1.6 m)5

= 0.64 m

PTS: 1 DIF: IIIC OBJ: 11-4.5

Documents

Physics Workbook 12 Grade