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MHT CET 2021 (23 Sep, Shift 1) · Escape Velocity

Escape Velocity question from MHT CET 2021 (23 Sep, Shift 1)

Q43MHT CET 2021 · 23 SEP · SHIFT 1Easy

Escape Velocity

The radius of a planet is twice the radius of the earth. Both have almost equal average mass densities. If ' $V_P$ ' and ' $V_E$ ' are escape velocities of the planet and the earth respectively, then

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Answer: (c)

$v_e \propto R\sqrt{\rho}$
Same density, $R_P = 2R_E \Rightarrow V_P = 2V_E$
So the answer is (c).

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