A) \[5.75\text{ }R\]from centre of moon
B) 16 R from surface of moon
C) 5 3 R from centre of earth
D) 54 R from centre of earth
Correct Answer: D
Solution :
\[{{E}_{earth}}={{E}_{moon}}\] |
\[\Rightarrow \,\,\,\frac{GM}{{{x}^{2}}}=\frac{GM/81}{{{(60R-x)}^{2}}}\] |
\[\Rightarrow \,\,\,\,\frac{1}{x}=\frac{1}{9(60R-x)}\] |
\[\Rightarrow \,\,\,x=54\,R\] from centre of earth. |
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