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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/sqrt2`

B

Independent to a

C

Proportional to `sqrta`

D

Proportional to `a^(3/2)`

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The correct Answer is:
A
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