A solid sphere of uniform density and radius 4 units is located with its centre at the origin \(...

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A solid sphere of uniform density and radius 4 units is located with its centre at the origin \( O \). Two spheres of equa
P 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 cavitie:
W as shown in figure-6.104. Then :
Figure 6.104
(A) The gravitational field due to this object at origin is zero
(B) The gravitational field at the point \( B(2,0,0) \) is zero
(C) The gravitational potential is the same at all points on 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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