A) \[4\,{{v}_{o}}\]
B) \[2\,{{v}_{o}}\]
C) \[0.5\,{{v}_{o}}\]
D) \[{{v}_{o}}\]
E) \[2/3\,{{v}_{o}}\]
Correct Answer: C
Solution :
\[{{v}_{o}}=\sqrt{\frac{GM}{R}}\] \[v_{o}^{}=\sqrt{\frac{GM}{R+3R}}=\sqrt{\frac{GM}{4R}}\] \[\Rightarrow \] \[v_{o}^{}=\frac{1}{2}{{v}_{o}}=0.5\,{{v}_{o}}\]
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