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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:

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 potential is same at all points of the circle `y^(2)+z^(2)=36`

D

Both (1) & (3)

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The correct Answer is:
D
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