A) \[\sqrt{\frac{2\sqrt{3}Gm}{a}}\]
B) \[\sqrt{\frac{\sqrt{3}Gm}{a}}\]
C) \[\sqrt{\frac{6\sqrt{3}Gm}{a}}\]
D) \[\sqrt{\frac{3\sqrt{3}Gm}{a}}\]
Correct Answer: C
Solution :
[c] \[\frac{-Gmm'}{r}\times 3+\frac{1}{2}m'{{v}_{e}}^{2}=0\] or \[\frac{-3Gm}{(\frac{a}{2}/\cos {{30}^{\operatorname{o}}})}+\frac{1}{2}{{v}_{e}}^{2}=0{{v}_{e}}=\sqrt{\frac{6\sqrt{3}Gm}{a}}\]
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