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JEE Main 2024 (31 Jan, Shift 2) · Escape Velocity

Escape Velocity question from JEE Main 2024 (31 Jan, Shift 2)

Q19JEE Main 2024 · 31 JAN · SHIFT 2Easy

Escape Velocity

The mass of the moon is $\frac{1}{144}$ times the mass of a planet and its diameter is $\frac{1}{16}$ times the diameter of a planet. If the escape velocity on the planet is $v$ , the escape velocity on the moon will be:

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Answer: (d)

$v_e \propto \sqrt{\frac{M}{R}}$ ; moon has $\frac{M}{144}$ and $\frac{R}{16}$
$v_m = v\sqrt{\frac{16}{144}} = \frac{v}{3}$
So the answer is (d) $\frac{v}{3}$ .

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