AIIMS 2018 Physics Simple Harmonic Motion MCQ Question
Assertion : If amplitude of simple pendulum increases then the motion of pendulum is oscillatory but not simple harmonic.
Reason: For larger amplitude θ is large and then sin θ ≠ θ, so the motion is no longer SHM.
If both assertion and reason are true and reason is the correct explanation of assertion.
If both assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Correct Answer
Detailed Explanation
When the amplitude of a simple pendulum increases, the angle θ at which it swings becomes larger, leading to a significant deviation from the linear approximation of the restoring force. In simple harmonic motion (SHM), the restoring force must be directly proportional to the displacement and act in the opposite direction, which holds true only for small angles (θ < 15°). As θ increases, the motion becomes oscillatory but no longer satisfies the criteria for SHM due to the non-linear relationship between force and displacement. Other options are not applicable as they do not provide relevant information or alternative explanations regarding the nature of the pendulum's motion.
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