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CGP EDU Academic Team
Published on: September 12, 2026
Suppose the gravitational force varies inversely as the $n^{\text{th}}$ power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
Text Solution
Verified by ExpertsThe correct answer is:
A
$m \omega^{2} R \propto \frac{1}{R^{n}}$ ⇒ ⇒ $m\left(\frac{4\pi^{2}}{T^{2}}\right)R \propto \frac{1}{R^{n}}$ ⇒ ⇒ $T^{2} \propto R^{n+1}$
∴ ∴ $T \propto R^{\left(\frac{n+1}{2}\right)}$
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