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A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass and radius 2R as shown. A small particle of mass m is relased from rest from a height h`(lt lt R)` above the shell. There is a hole in the shell. Q. With what approximate speed will it collide at B?A. `sqrt((2GM)/(R))`B. `sqrt((GM)/(2R))`C. `sqrt((3GM)/(2R))`D. `sqrt((GM)/(R))`

Answer» Correct Answer - D
Given that `(h lt lt R)` so the velocity at A is also zero
loss in PE = gain KE `therefore(GMm)/(2R)=(1)/(2)mv^(2)impliesv=sqrt((GM)/(R))`


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