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The velocity v and displacement x of a p...

The velocity v and displacement x of a particle executing simple harmonic motion are related as
`v (dv)/(dx)= -omega^2 x`.
`At x=0, v=v_0.` Find the velocity v when the displacement becomes x.

A

`v=sqrt(v_(0)^(2)+omega^(2)x^(2))`

B

`v=sqrt(v_(0)^(2)-omega^(2)x^(2))`

C

`v=3sqrt(v_(0)^(3)+omega^(3)x^(3))`

D

`v=v_(0)-(omega^(3)x^(3)e^(x^(3)))^(1//3)`

Text Solution

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The correct Answer is:
B
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