Question

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:

• A. (A), (B) and (C) Only
• B. (C) and (D) only
• C. (A), (C) and (D) only
• D. A), (B) and (D) only

Hint:

In Simple Harmonic Motion, recall that acceleration is maximum at the extreme points and velocity is maximum at the mean position.

Answer 1

The Correct Option is A

In SHM, the restoring force is proportional to the displacement, which makes statement (A) correct. Statement (B) is also correct since in SHM, the displacement and acceleration are indeed opposite. Statement (C) is true, as the velocity reaches its maximum when the particle passes through the mean position. However, statement (D) is incorrect because the acceleration is actually maximum at the extreme points, not minimum.