1.

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 force due to this object at the origin is zeroB. the gravitational force at the point B `(2,0,0)` is zeroC. the gravitational potential is the same at all poitns of the circle `y^(2)+z^(2)=36`D. the gravitational potential is the same at all points of the circle `y^(2)+z^(2)=4`

Answer» Correct Answer - A::C::D
(A) Net gravitational field at centre due to solid sphere (having cavites) is equal to zero.
let point P is in y-z plane (o,y,z) then equipotential curve must be circle y-z plane `bot^(2)` to the diameter passing through eavities.


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