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Gravitation

JEE Main level, single correct, medium

142 of 223

Question 142 of 223

Planet $A$ has mass $M$ and radius $R.$ Planet $B$ has half the mass and half the radius of Planet $A.$ If the escape velocities from the Planets $A$ and $B$ are ${v}_{A}$ and ${v}_{B},$ respectively, then $\dfrac{{v}_{A}}{{v}_{B}}=\dfrac{n}{4}.$ The value of $n$ is:

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Answer: (A) $4$

{v}_{e}=\sqrt{\dfrac{2GM}{R}}

∴\dfrac{{v}_{A}}{{v}_{B}}=\dfrac{\sqrt{\dfrac{2GM}{R}}}{\sqrt{\dfrac{2GM/2}{R/2}}}=1=\dfrac{n}{4}

\Rightarrow n=4

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Gravitation (Gravitational potential and Potential Energy), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.