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64. The Lorentz transformation for time is given by: A. t' = y(t-vx/c^2) B. t' = y(t + vx/c^2) C. x' = y(x-vt) D. x' = y(x + vt) 65. A clock on Earth ticks every 1 second. An astronaut moving at a speed of 0.75c relative to Earth has a clock that ticks every: A. 0.66 s B. 1 s C. 1.50 s D. 2 s 66. A spaceship traveling at 0.7c relative to an observer on Earth emits light with a frequency of 6 x 10^14 Hz. What is the frequency of the light according to the observer on Earth, considering the source is moving away from the observer? A. 4.8 x 10^14 Hz B. 6 x 10^14 Hz C. 7.2 x 10^14 Hz D. 8.4 x 10^14 Hz 67. What is the Lorentz factor (y) for an object at rest (v = 0)? A. 0 B. 1 C.00

64. The Lorentz transformation for time is given by: A. t' = y(t-vx/c^2) B. t' = y(t + vx/c^2) C. x' = y(x-vt) D. x' = y(x + vt) 65. A clock on Earth ticks every 1 second. An astronaut moving at a speed of 0.75c relative to Earth has a clock that ticks every: A. 0.66 s B. 1 s C. 1.50 s D. 2 s 66. A spaceship traveling at 0.7c relative to an observer on Earth emits light with a frequency of 6 x 10^14 Hz. What is the frequency of the light according to the observer on Earth, considering the source is moving away from the observer? A. 4.8 x 10^14 Hz B. 6 x 10^14 Hz C. 7.2 x 10^14 Hz D. 8.4 x 10^14 Hz 67. What is the Lorentz factor (y) for an object at rest (v = 0)? A. 0 B. 1 C.00

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64. The Lorentz transformation for time is given by: A. t' = y(t-vx/c^2) B. t' = y(t + vx/c^2) C. x' = y(x-vt) D. x' = y(x + vt) 65. A clock on Earth ticks every 1 second. An astronaut moving at a speed of 0.75c relative to Earth has a clock that ticks every: A. 0.66 s B. 1 s C. 1.50 s D. 2 s 66. A spaceship traveling at 0.7c relative to an observer on Earth emits light with a frequency of 6 x 10^14 Hz. What is the frequency of the light according to the observer on Earth, considering the source is moving away from the observer? A. 4.8 x 10^14 Hz B. 6 x 10^14 Hz C. 7.2 x 10^14 Hz D. 8.4 x 10^14 Hz 67. What is the Lorentz factor (y) for an object at rest (v = 0)? A. 0 B. 1 C.00 D. Undefined 68. Which of the following is a consequence of special relativity? A. Time dilation B. Gravitational force C. Quantum tunneling D. Wave-particle duality 69. The total energy (E) of a particle with a rest mass (m0) of 3 kg and moving at 0.6c is: A. 5.67 x 10^17 J B. 1.62 x 10^18 J 2.70 x 10^18 J C. D. 5.40 x 10^18 J 70. A spaceship is 100 meters long according to its passengers. An observer on Earth measures the spaceship to be 80 meters long. What is the speed of the spaceship relative to the observer on Earth? A. 0.6c B. 0.7c C. 0.8c D. 0.9c 71. Two events occur simultaneously 300 meters apart according to an observer on Earth. According to an observer moving at 0.5c relative to the Earth, what is the distance between the events? A. 150 m B. 200 m
Transcribed Image Text:64. The Lorentz transformation for time is given by: A. t' = y(t-vx/c^2) B. t' = y(t + vx/c^2) C. x' = y(x-vt) D. x' = y(x + vt) 65. A clock on Earth ticks every 1 second. An astronaut moving at a speed of 0.75c relative to Earth has a clock that ticks every: A. 0.66 s B. 1 s C. 1.50 s D. 2 s 66. A spaceship traveling at 0.7c relative to an observer on Earth emits light with a frequency of 6 x 10^14 Hz. What is the frequency of the light according to the observer on Earth, considering the source is moving away from the observer? A. 4.8 x 10^14 Hz B. 6 x 10^14 Hz C. 7.2 x 10^14 Hz D. 8.4 x 10^14 Hz 67. What is the Lorentz factor (y) for an object at rest (v = 0)? A. 0 B. 1 C.00 D. Undefined 68. Which of the following is a consequence of special relativity? A. Time dilation B. Gravitational force C. Quantum tunneling D. Wave-particle duality 69. The total energy (E) of a particle with a rest mass (m0) of 3 kg and moving at 0.6c is: A. 5.67 x 10^17 J B. 1.62 x 10^18 J 2.70 x 10^18 J C. D. 5.40 x 10^18 J 70. A spaceship is 100 meters long according to its passengers. An observer on Earth measures the spaceship to be 80 meters long. What is the speed of the spaceship relative to the observer on Earth? A. 0.6c B. 0.7c C. 0.8c D. 0.9c 71. Two events occur simultaneously 300 meters apart according to an observer on Earth. According to an observer moving at 0.5c relative to the Earth, what is the distance between the events? A. 150 m B. 200 m
C. 300 m D. 400 m 72. A light source moving towards an observer at a speed of 0.3c emits light with a wavelength of 600 nm. What is the wavelength of the light according to the observer? A. 483 nm B. 600 nm C. 720 nm D. 860 nm 73. The relativistic momentum of an object is given by: A. p= m0v B. p = m0v/√(1-v^2/c^2) C. p = mv D. p = mv/√(1-v^2/c^2) 74. An object with a rest mass of 4 kg is moving at a speed of 0.9c. What is the kinetic energy of the object? A. 1.29 x 10^18 J B. 3.01 x 10^18 J C. 4.52 x 10^18 J D. 6.03 x 10^18 J 75. According to the special theory of relativity, the speed of light in a vacuum: A. Changes with the motion of the observer B. Changes with the motion of the source C. Is the same for all observers regardless of their motion D. Is faster for an observer moving towards the source 76. A spaceship is moving at 0.8c relative to an observer on Earth. The spaceship's passengers measure a distance of 200 meters between two points. What is the distance between the points according to the observer on Earth? A. 120 m B. 150 m C. 200 m D. 240 m 77. If an object's total energy is 3 times its rest energy, what is the object's speed relative to an observer? A. 0.66c B. 0.82c C. 0.94c D. 0.99c 78. An observer on Earth measures a spaceship's length to be 3,000 meters when it is at rest. If the spaceship's speed relative to the observer is 0.99c, what is the length of the spaceship according to the observer when it is moving? A. 423 m B. 840 m C. 1,800 m D. 2,300 m 79. A particle has a rest mass of 1 kg and is moving at a speed of 0.7c relative to an observer. What is the relativistic momentum of the particle? A. 0.7 kg m/s B. 1.4 kg m/s C. 2.1 kg m/s
Transcribed Image Text:C. 300 m D. 400 m 72. A light source moving towards an observer at a speed of 0.3c emits light with a wavelength of 600 nm. What is the wavelength of the light according to the observer? A. 483 nm B. 600 nm C. 720 nm D. 860 nm 73. The relativistic momentum of an object is given by: A. p= m0v B. p = m0v/√(1-v^2/c^2) C. p = mv D. p = mv/√(1-v^2/c^2) 74. An object with a rest mass of 4 kg is moving at a speed of 0.9c. What is the kinetic energy of the object? A. 1.29 x 10^18 J B. 3.01 x 10^18 J C. 4.52 x 10^18 J D. 6.03 x 10^18 J 75. According to the special theory of relativity, the speed of light in a vacuum: A. Changes with the motion of the observer B. Changes with the motion of the source C. Is the same for all observers regardless of their motion D. Is faster for an observer moving towards the source 76. A spaceship is moving at 0.8c relative to an observer on Earth. The spaceship's passengers measure a distance of 200 meters between two points. What is the distance between the points according to the observer on Earth? A. 120 m B. 150 m C. 200 m D. 240 m 77. If an object's total energy is 3 times its rest energy, what is the object's speed relative to an observer? A. 0.66c B. 0.82c C. 0.94c D. 0.99c 78. An observer on Earth measures a spaceship's length to be 3,000 meters when it is at rest. If the spaceship's speed relative to the observer is 0.99c, what is the length of the spaceship according to the observer when it is moving? A. 423 m B. 840 m C. 1,800 m D. 2,300 m 79. A particle has a rest mass of 1 kg and is moving at a speed of 0.7c relative to an observer. What is the relativistic momentum of the particle? A. 0.7 kg m/s B. 1.4 kg m/s C. 2.1 kg m/s
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