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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 th power of R . If the period of rotation of the particle is T , then -

1. T ∝ R 3/2 for any n
2. T ∝ 1 2 n R +
3. T ∝ R ( n +1)/2
4. T ∝ R n /2 Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : Gravitation, Exercise # 4, Q. No. 10 ]

Correct answer: T ∝ R ( n +1)/2

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