A particle of mass ' \(m\) ' is executing S.H.M. about the origin on \(x\)-axis with frequency \(\sqrt{\frac{ka}{\pi m}}\), where ' \(k\) ' is a constant and ' \(a\) ' is the amplitude of S.H.M. If ' \(x\) ' is a displacement of a particle, at time ' \(t\) ', potential energy of the particle will be