A) 12 V
B) 6 V
C) \[\frac{4}{3}V\]
D) \[\frac{3}{2}V\]
Correct Answer: B
Solution :
\[v=\sqrt{\frac{GM}{R}}\]Þ \[\frac{{{v}_{A}}}{{{v}_{B}}}=\sqrt{\frac{{{R}_{B}}}{{{R}_{A}}}}=\sqrt{\frac{R}{4R}}\]\[=\frac{1}{2}\] \\[\frac{{{v}_{A}}}{{{v}_{B}}}=\frac{3V}{{{v}_{B}}}=\frac{1}{2}\]\[\therefore \,\,{{v}_{B}}=6\,V\]
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