A particle moves in a circular orbit of radius \( r \) under a central attractive force \( F=-\f...

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A particle moves in a circular orbit of radius \( r \) under a central attractive force \( F=-\frac{k}{r}, k \) is constant. The time period of its motion shall be proportional to
[AMU (Med.) 2012]
(a) \( r^{1 / 2} \)
(b) \( r \)
(c) \( r^{3 / 2} \)
(d) \( r^{2 / 3} \)
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