A body moves in a circular orbit of radius \( R \) under the action of a central force. Potentia...

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Potentia
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Potentia (2021)
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A body moves in a circular orbit of radius \( R \) under the action of a central force. Potential due to the central force is given by \( V(r)=k r \) ( \( k \) is a positive constant). Period of revolution of the body is proportional to
[KVPY 2014]
(a) \( R^{\frac{1}{2}} \)
(b) \( R^{-\frac{1}{2}} \)
(c) \( R^{-\frac{3}{2}} \)
(d) \( R^{-\frac{5}{2}} \)
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