The displacement of a particle along the x- axis it given by `x = a sin^(2) omega t` The motion of the particle corresponds to

Options

A. Simple harmonic motion of frequency `omega//2pi`
B. Simple harmonic motion of frequency `omega//pi`
C. Simple harmonic motion of frequency `3omega//2pi`
D. Non simple harmonic motion

Answer

D

Explanation

`x=asin^(2) omegat`
`implies x=a((1-cos2omegat)/(2))`
It is an oscillatory motion but not simple harmonic since frequency `=(2omega)/(2pi)=(omega)/(pi)`.