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In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and displacement are opposite in direction. (C) The velocity is maximum at mean position. (D) The acceleration is minimum at extreme points. Choose the correct answer from the options given below: (1) (C) and (D) only (2) (A), (C) and (D) only (3) (A), (B) and (C) only (4) (A), (B) and (D) only

1. (C) and (D) only
2. (A), (C) and (D) only
3. (A), (B) and (C) only
4. (A), (B) and (D) only

Correct answer: (A), (C) and (D) only

Solution

Options (A), (C), and (D) are correct because in Simple Harmonic Motion, the restoring force is indeed proportional to the displacement (A), the velocity reaches its maximum at the mean position (C), and the acceleration is zero at the extreme points, making it minimum there (D). Option (B) is incorrect as it states that acceleration and displacement are opposite in direction, which is not true in SHM.

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