Question

Two bodies of masses m and M are placed a distance d apart. The gravitational potential at the position where the gravitational field due to them is zero is V, then

(a) V = -G/d (m +M)

(b) V = -Gm/d

(c) V= -Gm/d 

(d) V = -G/d (√m+√m)²

Answer 1

Correct option (d) V = -G/d (√m+√m)²

Explanation

If P is the point of zero intensity, then 

Now potential at point P, 

Substituting the value of x and d – x we get