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(B) The relationship between the gravitational field $I$ and the gravitational potential $V$ is given by the formula $I = -\frac{dV}{dr}$.This implies

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The gravitational field is not necessarily zero

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(B) The relationship between the gravitational field $I$ and the gravitational potential $V$ is given by the formula $I = -\frac{dV}{dr}$.This implies that the gravitational field is the negative gradient of the gravitational potential.However,it is a common misconception that $V = 0$ implies $I = 0$. For example,consider the gravitational potential at the center of a spherical shell or between two point masses; the potential can be zero at a point where the field is non-zero.Therefore,the gravitational field is not necessarily zero just because the gravitational potential is zero.

Column-$I$	Column-$II$
$(1)$ Can never be positive.	$(a)$ Escape velocity
$(2)$ Reason for negative potential energy of galaxies.	$(b)$ Gravitational potential energy
	$(c)$ The nature of force between different galaxies is attractive.

In a gravitational field,at a point where the gravitational potential is zero,

Similar Questions

Match Column-$I$ with Column-$II$.
Column-$I$ Column-$II$
$(1)$ Can never be positive. $(a)$ Escape velocity
$(2)$ Reason for negative potential energy of galaxies. $(b)$ Gravitational potential energy
$(c)$ The nature of force between different galaxies is attractive.

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What is gravitational potential energy? Why is gravitational potential negative,and what does it mean?

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