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A particle of mass m is executing oscill...

A particle of mass m is executing oscillations about the origin on X-axis. Its potential energy is`U(x) = -K|x|^3`, where K is a positive constant. If the amplitude of oscillation is a, then its time period T is: 

A

proportional to `1//sqrt(a)`

B

independent of a

C

proportional to `sqrt(a)`

D

proportional to `a^(3//2)`

Text Solution

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The correct Answer is:
A
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