NEET Physics Simple Harmonic Motion Assertion Reason Question
Assertion (A): The angular acceleration of a simple pendulum is directly proportional to the angular displacement when the angle is small. | Reason (R): For small angles, the sine of the angle can be approximated by the angle itself in radians.
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Correct Answer
Detailed Explanation
For small angles, sinθ ≈ θ, making the angular acceleration proportional to displacement as per Eq. (14.27). This approximation justifies the assertion.
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