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Special Relativity MCQs — Physics (page 4)

90 multiple-choice questions on Special Relativity from Physics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

76. A moving clock, as measured by a stationary observer, runs:

  1. at the same rate
  2. slow
  3. fast
  4. backwards

Answer: B) slow

Explanation: Time dilation. SLO P-11-F-03 · Understanding

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77. Einstein assumed that the speed of light in a vacuum is:

  1. the same for all observers in inertial frames, whatever their motion
  2. infinite
  3. dependent on the source's speed
  4. different for moving observers

Answer: A) the same for all observers in inertial frames, whatever their motion

Explanation: Second postulate. SLO P-11-F-02 · Understanding

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78. A significant consequence of Einstein's assumption is that:

  1. time is the same for everyone
  2. light travels faster from moving sources
  3. mass is always constant
  4. space and time measurements depend on the observer's motion

Answer: D) space and time measurements depend on the observer's motion

Explanation: Relativity of space and time. SLO P-11-F-02 · Understanding

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79. An event in space-time is specified by:

  1. one space coordinate only
  2. three space coordinates and one time coordinate
  3. three time coordinates
  4. mass and charge

Answer: B) three space coordinates and one time coordinate

Explanation: (x, y, z, t). SLO P-11-F-06 · Knowledge

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80. A clock in a spaceship moving at 0.8c records 10 s (proper time). An Earth observer measures the interval as:

  1. 33.3 s
  2. 167 s
  3. 8.33 s
  4. 16.7 s

Answer: D) 16.7 s

Explanation: t = gamma t0 = 10 1 - 0.8^2 = 16.7 s. SLO P-11-F-05 · Understanding

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81. Special relativity applies to:

  1. only gravitational fields
  2. inertial (non-accelerating) frames
  3. only rotating frames
  4. only sound

Answer: B) inertial (non-accelerating) frames

Explanation: 'Special' case. SLO P-11-F-04 · Knowledge

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82. Gravitational waves are ripples in:

  1. electric fields
  2. space-time
  3. water
  4. air

Answer: B) space-time

Explanation: Propagating curvature. SLO P-11-F-06 · Knowledge

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83. In general relativity, gravity is explained as:

  1. magnetism
  2. a push from the aether
  3. the curvature of space-time caused by mass and energy
  4. a force carried by sound

Answer: C) the curvature of space-time caused by mass and energy

Explanation: Objects follow curved paths. SLO P-11-F-06 · Knowledge

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84. A body of rest mass 1 kg moves at 0.6c. Its relativistic mass is:

  1. 2.5 kg
  2. 1.25 kg
  3. 12.5 kg
  4. 0.625 kg

Answer: B) 1.25 kg

Explanation: m = gamma m0 = m0 1 - v^2/c^2 = 1.25 kg. SLO P-11-F-05 · Understanding

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85. The speed of light in a vacuum is about:

  1. 340 m/s
  2. 3.0 10^5 m/s
  3. 3.0 10^10 m/s
  4. 3.0 10^8 m/s

Answer: D) 3.0 10^8 m/s

Explanation: c. SLO P-11-F-02 · Understanding

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86. The second postulate contradicts Newtonian addition of velocities because:

  1. velocities never add
  2. light's speed does not add to the source's speed
  3. light has no speed
  4. Newton ignored light

Answer: B) light's speed does not add to the source's speed

Explanation: c + v neq c in Newtonian terms. SLO P-11-F-04 · Knowledge

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87. As a body's speed approaches c, its relativistic mass:

  1. decreases to zero
  2. increases without limit
  3. becomes negative
  4. stays the same

Answer: B) increases without limit

Explanation: So it can never reach c. SLO P-11-F-05 · Understanding

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88. The rubber-sheet model of space-time is a:

  1. simplified analogy, not a literal picture
  2. law of motion
  3. physical sheet in space
  4. perfect description

Answer: A) simplified analogy, not a literal picture

Explanation: Helpful metaphor. SLO P-11-F-06 · Knowledge

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89. The energy equivalent of 5 10^-4 kg of mass is (c = 3 10^8 m/s):

  1. 2.25 10^13 J
  2. 4.5 10^13 J
  3. 1.5 10^5 J
  4. 9 10^13 J

Answer: B) 4.5 10^13 J

Explanation: E = mc^2 = 5 10^-4 (3 10^8)^2 = 4.5 10^13 J. SLO P-11-F-05 · Understanding

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90. Relativistic effects are described by the Lorentz factor:

  1. gamma = 1 - vc
  2. gamma = 1 1 - v^2/c^2
  3. gamma = 1 - v^2/c^2
  4. gamma = vc

Answer: B) gamma = 1 1 - v^2/c^2

Explanation: gamma geq 1. SLO P-11-F-03 · Understanding

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