A solid sphere of uniform density and radius 4 unit is located with its center at the origin \( ...
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2A solid sphere of uniform density and radius 4 unit is located with its center at the origin \( O \) of coordinates. Two spheres of equal radii 1 unit, with their centers at \( A(-2,0,0) \) and \( B(2,0,0) \), respectively, are taken out of the solid leaving behind spherical cavities as shown in the below figure, then
(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 on the circle \( y^{2}+z^{2}=4 \)
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