Two concentric shells of masses M₁ and M₂ are having radii r₁ and r₂. (r₂>r₁) Which of the following is the correct expression for the gravitational field on a mass m at a distance r from their common center

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$F = G \frac{(M_{1} + M_{2})}{r^{2}} w h e n r < r_{1}$

$F = G (\frac{M_{1} + M_{2}}{r^{2}}) w h e n r < r_{2}$

$F = G \frac{M_{2}}{r^{2}} w h e n r_{1} < r < r_{2_{}}$

$F = G \frac{M_{1}}{r^{2}} w h e n r_{1} < r < r_{2}$

answer is D.

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Detailed Solution

when m is in between the two shells field due to inner shell is only present for outer shell it is zero.

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