A) \[{{v}_{es}}\]
B) \[3{{v}_{es}}\]
C) \[\sqrt{3}{{v}_{es}}\]
D) \[\sqrt{5}{{v}_{es}}\]
Correct Answer: C
Solution :
Velocity of body in inter planetary space \[v'=\sqrt{{{v}^{2}}-v_{es}^{2}}\] where \[{{v}_{es}}=\] escape velocity and v = velocity of projection \ \[v'=\sqrt{{{(2{{v}_{es}})}^{2}}-v_{es}^{2}}=\sqrt{3v_{es}^{2}}\]Þ \[v'=\sqrt{3}\ {{v}_{es}}\]
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