A) \[\sqrt{\frac{Gm}{r}}\]
B) \[\sqrt{\frac{Gm}{3r}}\]
C) \[\sqrt{\frac{Gm}{r\sqrt{3}}}\]
D) \[\sqrt{\frac{3Gm}{r}}\]
Correct Answer: C
Solution :
Net gravitation for on A \[=\frac{G{{m}^{2}}}{{{(2r\cos 30)}^{2}}}\times \cos 30\times 2=\frac{m{{v}^{2}}}{r}\] \[=\frac{2G{{m}^{2}}\cos 30}{4{{r}^{2}}\cos 30\times \cos 30}=\frac{m{{v}^{2}}}{r}\] \[v=\sqrt{\frac{Gm}{r\sqrt{3}}}\]You need to login to perform this action.
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