NDA 2024
- Exam
- NDA
- Year
- 2024
- Subject
- General Ability
- Chapter
- General Science
NDA 2024 · General Ability · General Science
Which one of the following statements regarding simple pendulum is...
Which one of the following statements regarding simple pendulum is correct?
Simple pendulum has a time period independent of amplitude:
Options
- Aonly for small amplitudes because then the net force on its bob is independent of its displacement.
- Bfor any amplitude because the net force on the bob is always proportional to its displacement.
- Cfor any amplitude because the net force on the bob is independent of its displacement.
- Donly 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.
Step-by-step solution
We have,
For small amplitudes the restoring force on the pendulum bob is directly proportional to its displacement. This leads to simple harmonic motion, where the time period is independent of the amplitude. For larger amplitude the restoring force is no longer directly proportional to displacement, Consequently the time period slightly dependent on the amplitude.