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What is the displacement of a SHM partic...

What is the displacement of a SHM particle of amplitude 3 cm, where its velocity is `(1)/(3)` of its maximum velocity ?

A

`2sqrt(2) cm`

B

`sqrt(2) cm`

C

`3sqrt(2)cm`

D

`(5)/(sqrt(2))cm`

Text Solution

Verified by Experts

The correct Answer is:
A
`v=omega sqrt(A^(2)-x^(2))=(omegaA)/(3)`
`therefore A^(2)-x^(2)=(A^(2))/(9) therefore x^(2)=8`
`therefore x= 2sqrt(2) cm`
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