A) \[\sqrt{\frac{2GM}{R}}\]
B) \[\sqrt{\frac{2\sqrt{2}GM}{R}}\]
C) \[2\sqrt{\frac{GM}{R}}\]
D) \[2\sqrt{2}\sqrt{\frac{GM}{R}}\]
Correct Answer: B
Solution :
[b] \[\frac{1}{2}m{{v}^{2}}_{\min }-\frac{GMm}{R\sqrt{2}}\times 2=0\] \[\Rightarrow {{v}_{\min }}-\sqrt{\frac{2GM\sqrt{2}}{R2}}\]
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