Physics

Problem

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

, find its time period

T

. a. proportional to

1/\sqrt{a}

b. independent of

a

c. proportional to

\sqrt{a}

d. proportional to

a^{3/2}