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
- A6 times faster
- B6 times faster
- Cat the correct rate
- 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.