A solid sphere of uniform density and radius 4 units 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 figure then
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(c, d)
The gravitational field is zero at the center of a solid sphere. The small spheres can be considered as
negative mass m located at A and B. The gravitational force due to these masses on a mass at O is equal
and opposite, hence the resultant force on mass at O is zero. (C and D) are correct because plane of these
circles is y-z. i.e. perpendicular to x-axis i.e. potential at any point on these two circles will he equal due
to the positive mass M and negative masses –m and –m.
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