Gravitaional potential at a point

Question

By which curve will the variation of gravitational potential of a hollow sphere of radius R with distance be depicted

Moderate

Solution

For hollow sphere

${\mathrm{V}}_{\text{in}}=\frac{-\mathrm{GM}}{\mathrm{R}},{\mathrm{V}}_{\text{sufface}}=\frac{-\mathrm{GM}}{\mathrm{R}},{\mathrm{V}}_{\text{out}}=\frac{-\mathrm{GM}}{\mathrm{r}}$

i.e. potential remain constant inside the sphere and it is equal to potential at the surface and increase when the point moves away from the surface of sphere.

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