First slide

Gravitational field intensity

Question

Two concentric shells of masses $M_{1}$ and $M_{2}$ are having radii $r_{1}$ and $r_{2}$ $(r_{2} > r_{1})$ . Which of the following is the correct expression for the gravitational field on a mass m?

Moderate

A

$F = \frac{G (M_{1} + M_{2})}{r^{2}}, f o r r < r_{1}$
B

$F = \frac{G (M_{1} + M_{2})}{r^{2}}, f o r r < r_{2}$
C

$F = \frac{G M_{2}}{r^{2}}, f o r r_{1} < r < r_{2}$
D

$F = \frac{G M_{1}}{r^{2}}, f o r r_{1} < r < r_{2}$

Solution

when r is in between $r_{1}$ and $r_{2}$ field will be only due to $M_{1}$ not due to $M_{2}$ as it is within $M_{2}$

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