question_answer

The average value of potential energy for one complete oscillation cycle of a body of mass m executing S.H.M. having angular frequency \[\omega \] and maximum amplitude a is given by:

A) \[\frac{1}{2}m{{\omega }^{2}}{{a}^{2}}\]

B) \[\frac{1}{4}m{{\omega }^{2}}{{a}^{2}}\]

C) \[\frac{1}{8}m{{\omega }^{2}}{{a}^{2}}\]

D) \[\frac{1}{16}m{{\omega }^{2}}{{a}^{2}}\]