A student says that he had applied a force `F=-ksqrtx` on a particle and the particle moved in simple harmonic motion. He refuses to tell whether k is a constant or not. Assume that he has worked only with positive x and no other force acted on the particle

Options

A. As x increases k increases
B. As x increases k decreases
C. As x increases k remains constant
D. The motion cannot be simple harmonic

Answer

A

Explanation

For SHM `Fprop-x`, for this `kpropsqrtx`