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A uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell

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A uniform metal sphere of radius R and mass m is surrounded by a thin uniform spherical shell of same mass and radius 4R. The centre of the shell C falls on the surface of the inner sphere. Find the gravitational fields at points A and B.

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(i) At point A, field strength due to shell will be zero 

Net field is only due to metal sphere. Distance between centre of metal sphere and point A is 4R.

(ii) At point B, net field is due to both, due to shell and due to metal sphere.

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