$A$ particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $a$ varies with time $t$ as $a = k^{2} r t^{2}$,where $k$ is a constant. The power delivered to the particle by the force acting on it is given as:
- A$zero$
- B$m k^{2} r^{2} t^{2}$
- C$m k^{2} r^{2} t$
- D$m k^{2} r t$
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