1.

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`. A. `(GM)/(16a^(2))`B. `(GM)/(8a^(2))`C. `(GM)(2a^(2))`D. `(GM)/(34a^(2))`

Answer» Correct Answer - A
`E_(P)=(GM)/((4a)^(2))=(GM)/(16a^(2))` and `E_(P^(2)) =(GM)/((6a)^(2))+(GM)/(5a^(2))=(61GM)/(900a^(2))`


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