Question

Select One Option Correct from the following : A particle of mass m is executing oscillations about the origin on the 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 $\frac{1}{\sqrt{a}}$.
(B)independent of a .
(C)proportional to $\sqrt{a}$ .
(D)proportional to $a^{3/2}$.

Answer 1

c option is correct I think

Answer 2

OPTION $\huge\bold\red{C}$ IS CORRECT...