A solid sphere of uniform density and radius 4 units is located with its centre at the origin O of coordinates. Two sphere of equal radii 1 unit, with their centres at A(-2,0 ,0) and B(2,0,0) respectively, are taken out of the solid leaving behind spherical cavities as shown if fig Then:

The gravitational field due to this object at the orgin is zero.
The gravitational force at point B(2, 0, 0) is zero.
The gravitational force at point B(2, 0, 0) is zero.
Both (1) & (3)

Options

A. The gravitational field due to this object at the orgin is zero.
B. The gravitational force at point B(2, 0, 0) is zero.
C. The gravitational force at point B(2, 0, 0) is zero.
D. Both (1) & (3)

Answer

D