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Gravitation

JEE Main level, numerical answer, medium

181 of 223

Question 181 of 223

Two satellites ${S}_{1}$ and ${S}_{2}$ are revolving in circular orbits around a planet with radius ${R}_{I}=3200km$ and ${R}_{2}=800km$ respectively. The ratio of speed of satellite ${S}_{1}$ to the speed of satellite ${S}_{2}$ in their respective orbits would be $\dfrac{1}{x}$ where $x=$

Show answer and solution

Answer: 2

Orbital velocity of a satellite in circular motion around a planet,

{v}_{o}=\sqrt{\dfrac{GM}{R}}\propto \dfrac{1}{\sqrt{R}}

Now,

\dfrac{{v}_{1}}{{v}_{2}}=\sqrt{\dfrac{{R}_{2}}{{R}_{1}}}=\sqrt{\dfrac{800}{3200}}=\dfrac{1}{2}

Hence, the value of

x=2

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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