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

Options

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

Answer

B

Explanation

`x = a sin^(2) omega t` but `sin^(2) omega t = (1 + cos 2 omega t)/(2)`
`x = (a)/(2) + (a)/(2) cos 2 omega t`
Angular frequency `2 pi n = 2 omega rArr n = (omega)/(pi)`