A) \[GMm/12{{R}^{2}}\]
B) \[GMm/3{{R}^{2}}\]
C) \[GMm/8R\]
D) \[GMm/6R\]
Correct Answer: D
Solution :
Change in potential energy in displacing a body from \[{{r}_{1}}\] to \[{{r}_{2}}\] is given by \[\Delta U=GMm\,\left[ \frac{1}{{{r}_{1}}}-\frac{1}{{{r}_{2}}} \right]=GMm\,\left( \frac{1}{2R}-\frac{1}{3R} \right)=\frac{GMm}{6R}\]
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