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JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Elasticity & SHM

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

Answer: (A)

Solution

The restoring force obeys , so it is directly proportional to the displacement; the first statement holds. The acceleration is directed opposite to the displacement; the second holds. The speed is greatest where the displacement is zero, that is at the mean position; the third holds. The acceleration is largest, not smallest, at the extreme points, so the fourth fails. Only the first three statements are correct.

JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Single correct option

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