A) \[\sqrt{3}v\]
B) \[\sqrt{2}v\]
C) \[v\]
D) \[\sqrt{5}v\]
E) \[\sqrt{12}v\]
Correct Answer: A
Solution :
Escape velocity, \[{{v}_{e}}=\sqrt{\frac{2G{{M}_{e}}}{{{R}_{e}}}}\] Given, \[{{M}_{p}}=6{{M}_{e}},{{R}_{p}}=2{{R}_{e}}\] \[\therefore \] \[{{v}_{p}}=\sqrt{\frac{2G\,6{{M}_{e}}}{(2{{R}_{e}})}}=\sqrt{3}{{v}_{e}}\]
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