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Electric Potential Due to Shell

Two spheres e...

Question

Two spheres each of mass M and radius R are separated by a distance of r. The gravitational potential at the midpoint of the line joining the centres of the sphere is

A

- \frac{G M}{r}

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B

- \frac{2 G M}{r}

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C

- \frac{G M}{2 r}

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D

- \frac{4 G M}{r}

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Solution

The correct option is A $- \frac{4 G M}{r}$
$V = V_{1} + V_{2}$
$= + 2 V_{1}$
$= 2 (- \frac{G M}{r / 2}) = - 4 \frac{G M}{r}$

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