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The displacement of a particle along the...

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

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

Text Solution

Verified by Experts

The correct Answer is:
D
`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)`.
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