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Question: Two concentric shells of mass \(M _ { 1 }\) and \(M _ { 2 }\) are having radii \(r _ { 1 }\) and \...

Two concentric shells of mass M1M _ { 1 } and M2M _ { 2 } are having radii r1r _ { 1 } and r2r _ { 2 }Which of the following is the correct expression for the gravitational field on a mass m.

A

I=G(M1+M2)r2I = \frac { G \left( M _ { 1 } + M _ { 2 } \right) } { r ^ { 2 } } for r<r1r < r _ { 1 }

B

I=G(M1+M2)r2I = \frac { G \left( M _ { 1 } + M _ { 2 } \right) } { r ^ { 2 } } for r<r2r < r _ { 2 }

C

I=GM2r2I = G \frac { M _ { 2 } } { r ^ { 2 } } forr1<r<r2r _ { 1 } < r < r _ { 2 }

D

r1<r<r2r _ { 1 } < r < r _ { 2 }

Answer

r1<r<r2r _ { 1 } < r < r _ { 2 }

Explanation

Solution

Gravitational field on a mass m due to outer shell (radius r1r _ { 1 }) behaves like point mass placed at the centre so r1<r<r2r _ { 1 } < r < r _ { 2 }