A particle of mass m is executing SHM about the origin on x-axis with frequency $\sqrt{\frac{\mathrm{ka}}{\mathrm{\pi m}}}$, where k is a constant and a is the amplitude. Find its potential energy, if x is the displacement at time t:

• A

  ${\mathrm{kax}}^2$

• B

  ${\mathrm{ka}}^2\mathrm{x}$

• C

  $2{\mathrm{\pi kax}}^2$

• D

  $2{\mathrm{\pi kx}}^3$