Two concentric shells of uniform density of mass M 1 2 re situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (give

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Two concentric shells of uniform density of mass M 1 ​ 2 ​ re situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (given OA = p , OB = q and OC = r )

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Shell theorem for two concentric shells of masses $M_{1}$ (inner) and $M_{2}$ (outer):

At A (outside both shells): $F_{A} = \frac{G ( M _{1} + M _{2} ) m}{p ^{2}}$

At B (between the shells, only the inner shell acts): $F_{B} = \frac{G M _{1} m}{q ^{2}}$

At C (inside both shells): $F_{C} = 0$

Ans. (D)

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