JEE Main Physics question

PhysicsGravitationJEE Main

A spherical hollow is made in a lead sphere of radius such that its surface touches the outside surface of the lead sphere and passes through the centre. The mass of the lead sphere before hollowing was . The force of attraction that this sphere would exert on a particle of mass which lies at a distance from the centre of the lead sphere, on the straight line joining the centres of the sphere and the hollow, is

Answer: (D)

Solution

The cavity (radius , centred at from the original centre) has mass and lies at distance from the external point. The net force is the full sphere's force minus the cavity-filling

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Question ID VK-154396