Which one of the following statements regarding simple pendulum is <strong>CORRECT</strong>?<br>Simple pendulum has a time period independent of amplitude
- A. only for small amplitudes because then the net force on its bob is independent of its displacement.
- B. for any amplitude because the net force on the bob is always proportional to its displacement.
- C. for any amplitude because the net force on the bob is independent of its displacement.
- D. only for small amplitudes because then the net force on its bob is proportional to its displacement. ✓
Correct Answer: D. only for small amplitudes because then the net force on its bob is proportional to its displacement.
Explanation
A simple pendulum executes simple harmonic motion, and its time period is independent of amplitude only for small angles, where the restoring force is proportional to the displacement (F \approx -kx).
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