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. inderpendent of a
C. proportional to `sqrta`
D. proportional to `a^(3//12)`