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A particle is moving with a uniform speed in a circular orbit of radius \( R \) in a central force inversely proportional to the \( n^{\text {th }} \) power of \( R \). If the period of rotation of the particle is \( T \), then
[JEE (Main) 2018]
(a) \( T \propto R^{\left(\frac{n+1}{2}\right)} \)
(b) \( T \propto R^{\frac{n}{2}} \)
(c) \( T \propto R^{\frac{3}{2}} \) For any \( n \)
(d) \( T \propto R^{\frac{n}{2}+1} \)
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