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When a particle oscillates in simple har...

When a particle oscillates in simple harmonic motion, both in potential energy and kinetic energy vary sinusoidally with time. If `v` be the frequency of the motion of the particle, the frequency associated with the kinetic energy is `:`

A

`4v`

B

`2v`

C

`v` is highest when the spring comes back to natural position

D

`(v)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`x=A sin wt`
`K.E.=(1)/(2)KA^(2)W^(2)cos^(2)wt`
`PE=(1)/(2)mA^(2)w^(2)sin^(2)wt`
frequency of kinetic energy is `2V` Ans. `(B)`
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