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Two concentric spherical shells have mas...

Two concentric spherical shells have masses `m_(1)`, `m_(2)` and radii `R_(1)`,`R_(2) (R_(1) lt R_(2))`. Calculate the force by this system on a particle of mass `m`, if it is placed at a distance `((R_(1) + R_(2)))/(2)` from the centre.

Text Solution

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The gravitational force on .m. due to the shell of `M_(2)` is zero. The gravitational force on .m. due to the shell of `M_(1)` is given by
`=(GM_(1)m)/((R_(1)+R_(2))/(2))^(2) = (4GM_(1)m)/((R_(1)+R_(2))^(2))`
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