InterviewSolution
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InterviewSolution
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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 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 points of the circly `y^(2) + z^(2) = 36`D. the gravitaitonal potential is the same at all points on the circle `y^(2) + z^(2) = 4`. |
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Answer» Correct Answer - A::B::D The mass of the sphere with cavities is symmetrically situsted w.r.t. the origin. The circle `y^(2) + z(2) = 36` has a radius `6` and all the points on it are at a distance `6` from the centre of sphere where the whole mass of the sphere can be supposed to be concentrated. the circle is outside the sphere. the sinilar axplanation is valid for `y^(2) + z^(2) = 4`. The gravitational pull at the centre of sphere is zero. |
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