Q

If gravitational force varies inversely as the nth power of distance, the period of a planet in a circular orbit of radius R is proportional to:

RRB Group-D 15/11/2018 / Shift I 2018
✓ Answer: C R^((n+1)/2)
For circular motion, m4π²R/T² ∝ R⁻ⁿ, so T² ∝ Rⁿ⁺¹ and T ∝ R^((n+1)/2).
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