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Two concentric shells have masses M and m and their radii are R and r respectively, where R > r. What is the gravitational potential at their common centre?

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$- \frac{GM}{R}$

$- \frac{GM}{r}$

$- G [\frac{M}{R} - \frac{m}{r}]$

$- G [\frac{M}{R} + \frac{m}{r}]$

answer is D.

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Detailed Solution

$V = - \frac{GM}{R} + (- \frac{Gm}{r}) = - G [\frac{M}{R} + \frac{m}{r}]$

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