Home Physics Gravitation Mix A solid sphere of uniform density and radius…
Physics Gravitation Mix MCQ (Single Correct)

A solid sphere of uniform density and radius 4 units is located with its centre at the origin of coordinates, 0. Two spheres of equal radii of 1 unit, with their centers at A (-2, 0, 0) and B (2, 0, 0) respectively, are taken out of the solid sphere, leaving behind spherical cavities as shown in the figure.

A
The gravitational force due to this object at the origin is zero.
B
The gravitational force at the point B (2,0,0) is zero.
C
The gravitational potential is the same at all points of the circle y 2 + z 2 = 36.
D
The gravitational potential is the same at all points on the circle y 2 + z 2 = 4.

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The correct answer is:
CHECK THE SOLUTION.

(a, c, d)

Use arguments of symmetry as the yz plane divides the object symmetrically.

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