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A particle of mass (m) is executing osci...

A particle of mass (m) is executing oscillations about the origin on the (x) axis. Its potential energy is `V(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/sqrtA`

B

independent of A.

C

proportional to `sqrtA`

D

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

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The correct Answer is:
A
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