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 |
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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 |
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a) |
b) |
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c) |
d) |
(d)
Gravitational force between sphere of mass and the particle of mass at is
If is the mass of the removed part of sphere, then
Gravitational force between the removed part and the particle of mass at B is
Required force,