# A particle of mass 𝑚 is moving in a circular path of constant radius 𝑟 such that its centripetal acceleration 𝑎𝑐 is varying with time as 𝑎𝑐 = 𝑘 2 𝑟𝑡 4 , where 𝑘 is a constant. The power delivered to the particle by the forces acting on its is

Question : A particle of mass 𝑚 is moving in a circular path of constant radius 𝑟 such that its centripetal acceleration 𝑎𝑐 is varying with time as 𝑎𝑐 = 𝑘 2 𝑟𝑡 4 , where 𝑘 is a constant. The power delivered to the particle by the forces acting on its is

(A) $mk^{2}r^{2}t^{2}$

(B) $\dfrac{1}{3}mk^{2}r^{2}t^{2}$

(C) zero

(D) $2mk^{2}r^{2}t^{2}$