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NEET 2012 (AIPMT, Mains) · Escape Velocity

Escape Velocity question from NEET 2012 (AIPMT, Mains)

Q72NEET 2012 · AIPMT · MAINSEasy

Escape Velocity

If $v_e$ is escape velocity and $v_o$ is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by

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Answer: (d)

Close to the surface: $v_o = \sqrt{\frac{GM}{R}}$ and $v_e = \sqrt{\frac{2GM}{R}}$ .
Dividing: $\frac{v_e}{v_o} = \sqrt{2}$ .
So the answer is (d) $v_e = \sqrt{2}\cdot v_o$ .

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