$A$ body of mass $m$ is moving with speed $V$ along a circular path of radius $r$. Now,the speed is reduced to $\frac{V}{2}$ and the radius is increased to $3r$. For this change,the initial centripetal force needs to be:

  • A
    decreased by $\frac{11}{12}$ times.
  • B
    increased by $\frac{11}{12}$ times.
  • C
    decreased by $\frac{1}{12}$ times.
  • D
    increased by $\frac{1}{12}$ times.

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