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(A) The gravitational field intensity $(I)$ is defined as the negative gradient of the gravitational potential $(V)$.Mathematically,this is expressed

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$I = -dV/dr$

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(A) The gravitational field intensity $(I)$ is defined as the negative gradient of the gravitational potential $(V)$.Mathematically,this is expressed as $I = -\frac{dV}{dr}$.For a point mass $m$ at a distance $r$,the potential is $V = -\frac{Gm}{r}$ and the intensity is $I = \frac{Gm}{r^2}$.Differentiating $V$ with respect to $r$ gives $\frac{dV}{dr} = \frac{d}{dr}(-\frac{Gm}{r}) = \frac{Gm}{r^2}$.Thus,$I = -\frac{dV}{dr}$ holds true.

What is the relationship between gravitational field intensity $(I)$ and gravitational potential $(V)$ at a point?

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