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JEE Main 2024 (1 Feb, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2024 (1 Feb, Shift 2)

Q23JEE Main 2024 · 1 FEB · SHIFT 2Medium

Satellites - Orbital Velocity & Period

A light planet is revolving around a massive star in a circular orbit of radius $R$ with a period of revolution T. If the force of attraction between planet and star is proportional to $R^{-3/2}$ then choose the correct option:

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Answer: (c)

$m\omega^2 R \propto R^{-3/2} \Rightarrow \omega^2 \propto R^{-5/2}$
$T^2 \propto \frac{1}{\omega^2} \propto R^{5/2}$
So the answer is (c).

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