question_answer

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    [AIPMT (M) 2012]

A) \[{{v}_{o}}=\sqrt{2}{{v}^{e}}\]

B) \[{{v}_{o}}={{v}^{e}}\]

C) \[{{v}_{e}}=\sqrt{2{{v}^{e}}}\]

D) \[{{v}_{e}}=\sqrt{2}{{v}_{o}}\]

Correct Answer: D

Solution :

Orbital velocity of satellite

(i)

and escape velocity of satellite

...(ii)

Hence,