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CGP EDU Academic Team
Published on: September 12, 2026
Two planets revolve round the sun with frequencies $N_1$ and $\mathrm{N}_2$ revolutions per year. If their average orbital radii be $R_1$ and $R_{2}$ respectively, then $R_1 / R_2$ is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
According to Kepler's law $T^{2} \propto R^{3}$
If N is the frequency then $N^{2} \propto (R)^{-3}$
or $\frac{N_2}{N_1} = \left(\frac{R_2}{R_1}\right)^{-3/2} \implies \frac{R_1}{R_2} = \left(\frac{N_2}{N_1}\right)^{2/3}$
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