GravitationMedium
Question
In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius $R$ is proportional to:
Options
A.$R^{2}$
B.$R^{3}$
C.$R^{1/2}$
D.$R^{3/2}$
Solution
Sol. [Key Concept: Kepler's third law — T² ∝ r³]
In planetary motion
$$\begin{matrix} & T^{2} \propto R^{3} \\ & T \propto R^{3/2} \end{matrix}$$
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