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NEET 2013 · Escape Velocity

Escape Velocity question from NEET 2013

Q70NEET 2013Easy

Escape Velocity

The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. VP and VE are escape velocities of the planet and the earth, respectively, then

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Answer: (b)

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

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