A particle is moving with uniform speed along the circumference of a circle of radius $R$ under the action of a central fictitious force $F$ which is inversely proportional to $R ^{3}$. Its time period of revolution will be given by

  • [JEE MAIN 2021]
  • A

    $T \propto R ^{2}$

  • B

    $T \propto R ^{\frac{3}{2}}$

  • C

    $T \propto R ^{\frac{5}{2}}$

  • D

    $T \propto R ^{\frac{4}{3}}$

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