A) \[2\sqrt{\frac{G({{M}_{1}}+{{M}_{2}})}{md}}\]
B) \[2\sqrt{\frac{G({{M}_{1}}+{{M}_{2}})}{d}}\]
C) \[2\sqrt{\frac{G({{M}_{1}}-{{M}_{2}})}{md}}\]
D) \[2\sqrt{\frac{G({{M}_{1}}-{{M}_{2}})}{d}}\]
Correct Answer: B
Solution :
By the Law of conservation of energy \[-\frac{G{{M}_{1}}m}{d/2}-\frac{G{{M}_{2}}m}{d/2}+\frac{m{{v}^{2}}}{2}=0\] Where v is the sought velocity \[v=2\sqrt{\frac{G({{M}_{1}}+{{M}_{2}})}{d}}\] Hence, the correction option is [b].You need to login to perform this action.
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