Time Dilation and E=mc²

30 MCQs This test covers time dilation, length contraction and relativistic mass with their formulas and numericals. It also covers mass-energy equivalence, kinetic energy, space-time curvature, light bending and gravitational waves.

MCQs

30 questions · 25 min · 30 marks

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Sample questions

The first 5 of 30. Try each one, then tap to see the answer.

  1. Question 1

    In relativity the time interval measured by an observer at rest relative to the events is called:

    • ADilated time
    • BProper time
    • CRelative time
    • DContracted time
    Show answer

    Answer: B

    This is the proper time t0.

  2. Question 2

    The time interval measured by an observer moving relative to the events is:

    • At = t0 sqrt(1 - v^2/c^2)
    • Bt = t0 / sqrt(1 - v^2/c^2)
    • Ct = t0
    • Dt = t0 (1 - v/c)
    Show answer

    Answer: B

    t = t0 / sqrt(1 - v^2/c^2) which is greater than t0.

  3. Question 3

    Moving clocks run:

    • AFaster
    • BSlower
    • CAt the same rate
    • DBackward
    Show answer

    Answer: B

    Time is dilated for objects in relative motion.

  4. Question 4

    The factor sqrt(1 - v^2/c^2) is always:

    • AGreater than 1
    • BLess than 1
    • CEqual to 1
    • DNegative
    Show answer

    Answer: B

    For v < c it is less than one so t is greater than t0.

  5. Question 5

    A pendulum has a period of 3.0 s in its own frame. For an observer moving at 0.95c relative to it the period is about:

    • A0.94 s
    • B3.0 s
    • C9.6 s
    • D2.9 s
    Show answer

    Answer: C

    t = 3.0 / sqrt(1 - 0.9025) = 9.6 s.

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