Question

For a particle executing linear simple harmonic motion:

• A. The acceleration is uniform
• B. The acceleration varies linearly with time
• C. The acceleration varies in a manner independent of velocity
• D. The acceleration is non uniform.

Answer 1

The correct option is D The acceleration is non uniform.

Force acting on a particle executing SHM is directly proportional to negative of displacement,

$F\propto -x$

$ma\propto -x$

$a\propto -\frac{x}{m}$

Acceleration is directly proportional to the negative of displacement. So, the acceleration is non-uniform.

The correct option is D.