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A particle of mass m in a unidirectional...

A particle of mass m in a unidirectional potential field have potential energy `U(x)=alpha+2betax^(2)`, where `alpha` and `beta` are positive constants. Find its time period of oscillations.

A

`2pi sqrt((2beta)/(m))`

B

`2pi sqrt((m)/(2 beta))`

C

`pi sqrt((m)/(beta))`

D

`pi sqrt((beta)/(m))`

Text Solution

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The correct Answer is:
C
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