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JEE Main 2022 (29 Jun, Shift 1) · Escape Velocity

Escape Velocity question from JEE Main 2022 (29 Jun, Shift 1)

Q39JEE Main 2022 · 29 JUN · SHIFT 1Easy

Escape Velocity

The escape velocity of a body on a planet 'A' is 12 kms ${}^{-1}$ . The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is:

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Answer: (a)

$v_e \propto R\sqrt{\rho}$
$v_B = 12 \times \frac{1}{2} \times \sqrt{4} = 12$ km/s
So the answer is (a) 12 km/s.

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