In some region, the gravitational field is zero. The gravitational potential in this region

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

Two bodies of masses M_(1) and M_(2) , are placed at a distance R apart. Then at the position where the gravitational field due to them is zero, the gravitational potential is

Where is the gravitational field zero and where is the gravitational potential zero, in case of Earth?

What is gravitational field. How it is related to gravitational potential?

Assertion : Two spherical shells have masses m_(1) and m_(2) . Their radii are r_(1) and r_(2) . Let r be the distance of a point from centre. Then gravitational field strength and gravitational potential both are equal to zero for O lt r lt r_(1) Reason : In the region r_(1) lt r lt r_(2) , gravitational field strength due to m_(2) is zero. But gravitational potential due to m_(2) is constant (but non-zero).