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:

Options

A. The gravitational force due to this object at the origin is zero.
B. The gravitational force at the point `B(2,0,0)` is zero
C. The gravitational potential is the same at all points of the circle `y^(2)+z^(2)=36`.
D. The gravitational potential is the same at all points of the circle `y^(2)+z^(2)=4`.

Answer

A, C, D