NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Oscillations
NEET · Physics · Oscillations
Given blow are two statements: Statement I : The motion of a simple...
Given blow are two statements:
Statement I : The motion of a simple pendulum is simple harmonic only if (\mathrm{a} \ll \ell).
Statement II : The motion of a simple pendulum is simple harmonic for large angular displacement. In light of above statement choose the most appropriate answer from the options given below:
Statement II : The motion of a simple pendulum is simple harmonic for large angular displacement. In light of above statement choose the most appropriate answer from the options given below:
Options
- ABoth statement I and statement II are correct.
- BStatement I is correct and statement II is incorrect.
- CStatement I is incorrect and statement II is correct.
- DBoth statements I and statements II are incorrect.
Correct answer
B. Statement I is correct and statement II is incorrect.
Step-by-step solution
- Statement I: The motion of a simple pendulum is simple harmonic only if the angular displacement ((\theta)) is small ((a \ll \lambda)). This is correct because for small angular displacements, the restoring force is proportional to the displacement, which satisfies the condition for simple harmonic motion (SHM). As the angle increases, this approximation no longer holds, and the motion deviates from SHM.
- Statement II: The motion of a simple pendulum is simple harmonic for large angular displacement. This is incorrect because for large angular displacements, the motion is no longer simple harmonic due to the non-linear relationship between the restoring force and the displacement.