A) \[\sqrt{2}\]
B) 1/\[\sqrt{2}\]
C) 2
D) ½
Correct Answer: A
Solution :
Orbital velocity is given by \[{{v}_{o}}=\sqrt{gR}\] ?(i) And escape velocity is given by \[{{v}_{es}}=\sqrt{2gR}\] ?(ii) The ratio of escape velocity to orbital velocity from Eqs. (i) and (ii) \[\frac{{{v}_{es}}}{{{v}_{0}}}=\frac{\sqrt{2gR}}{\sqrt{gR}}=\sqrt{2}\]
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