question_answer

A particle of mass m is executing oscillations about the origin on the X-axis with amplitude A. Its potential energy is given as \[U(x)=\alpha {{x}^{4}}\] where a is a positive constant. The x coordinate of the particle where the potential energy is one third of the kinetic energy is

A) \[\pm A/2\]

B) \[\pm A/\sqrt{2}\]

C) \[\pm A/3\]

D) \[\pm A/\sqrt{3}\]