Question

A particle of mass 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/√a
(b) proportional to √a
(c) independent a³/² (d) None of these

Answer 1

Answer:

A particle of mass 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/√a

(b) proportional to √a

(c) independent a³/² (d) None of thjso

us is the correct option