GravitationHard
Question
A solid sphere of uniform density and radius 4 units is located with its centre 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 figure. Then : -
Options
A.The gravitational field due to this object at the 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 of circle y2+ z2 = 36
D.The gravitational potential is the same at all points on the circle y2+ z2 = 4
Solution
Due to symmetry the gravitational field at the origin is zero. The equipotential line will take the shape of a circle in yz plane.
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