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(C) The gravitational potential $V$ of a spherical body of mass $M$ and radius $R$ is given by:$1$. Inside the Earth $(r < R)$: $V_{in} = -\frac{GM}{2

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(C) The gravitational potential $V$ of a spherical body of mass $M$ and radius $R$ is given by:$1$. Inside the Earth $(r $2$. At the surface $(r = R)$: $V_{surface} = -\frac{GM}{R}$.$3$. Outside the Earth $(r > R)$: $V_{out} = -\frac{GM}{r}$. This follows an inverse relationship.Comparing these with the given graphs, the potential starts from a negative value at the center, decreases parabolically to a more negative value at the surface, and then increases towards zero as $r$ approaches infinity. Option $C$ correctly represents this behavior.

The diagram showing the variation of gravitational potential of Earth with distance from the centre of Earth is

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