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Q.

If v_e and v_o represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then

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a

$v_{e} = v_{o}$

b

$\sqrt{2} v_{o} = v_{e}$

c

$v_{e} = v_{0} / \sqrt{2}$

d

$v_{e}$ and $v_{o}$ are not related

answer is B.

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Detailed Solution

$v_{e} = \sqrt{2 g R}$ and $v_{0} = \sqrt{g R}$
$∴ \sqrt{2} v_{0} = v_{e}$

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