A particle of mass \[m\] is moving in a circular path of constant radius \[r\] such that its centripetal acceleration \[{{a}_{c}}\] is varying with time t as, \[{{a}_{c}}={{k}^{2}}r{{t}^{2}}\], The power delivered to the particle by the forces acting on it is [IIT 1994]

• A.             \[2\pi m{{k}^{2}}{{r}^{2}}t\]
• B.               \[m{{k}^{2}}{{r}^{2}}t\]
• C.             \[\frac{m{{k}^{4}}{{r}^{2}}{{t}^{5}}}{3}\]
• D.               Zero