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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSimple Harmonic Motion

A pendulum clock that maintains the correct time on the earth is transported to the moon. It will run

Options

  1. A6 times faster
  2. B6 times faster
  3. Cat the correct rate
  4. D6 times slower

Correct answer

D. 6 times slower

Step-by-step solution

The time period of a simple pendulum is given by T = 2 l g . The acceleration due to gravity on the moon is g_m = g_e 6 . The time period on the moon is T_m = 2 l g_m = 2 6l g_e = 6 T_e . Since the time period increases by a factor of 6 , the pendulum takes 6 times longer to complete one oscillation. Thus, the clock runs 6 times slower on the moon.

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