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Figure shows a spherical cavity inside a...

Figure shows a spherical cavity inside a lead sphere. The surface of the cavity passes through the centre of the sphere and touches the right side of the sphere. The mass of the sphere before hollowing was `M`. With what gravitational force does the hollowed out lead sphere attract a particle of mass `m` that lies at a distance `d` from the centre of the lead sphere on the straight line connecting the centres of the spheres and of the cavity.

A

`(7GMm)/(18R^(2))`

B

`(7GMm)/(36R^(2))`

C

`(7GMm)/(9R^(2))`

D

`(7GMm)/(72R^(2))`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

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    `-(2GM)/( r)`
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    A
    `2/5 MR^(2)`
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