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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//sqrt a`

B

independent of a

C

proportional to `sqrt a`

D

proportional to `a^3//2`

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