Two concentric shells of uniform density of mass \( M_{1} \) and \( \mathrm{M}_{2} \) are situat...
Two concentric shells of uniform density of mass \( M_{1} \) and \( \mathrm{M}_{2} \) are situated as shown in the figure. The forces
\( \mathrm{P} \) experienced by a particle of mass \( \mathrm{m} \) when placed at
W) positions \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) respectively are (given \( \mathrm{OA}=\mathrm{p} \), \( \mathrm{OB}=\mathrm{q} \) and \( \mathrm{OC}=\mathrm{r}) \)
(a) \( 0, \mathrm{G} \frac{\mathrm{M}_{1} \mathrm{~m}}{\mathrm{q}^{2}} \) and G \( \frac{\left(\mathrm{M}_{1}+\mathrm{m}_{2}\right) \mathrm{m}}{\mathrm{p}^{2}} \)
(b) \( \mathrm{G} \frac{\left(\mathrm{M}_{1}+\mathrm{M}_{2}\right) \mathrm{m}}{\mathrm{p}^{2}}, \mathrm{G} \frac{\left(\mathrm{M}_{1}+\mathrm{M}_{2}\right) \mathrm{m}}{\mathrm{q}^{2}} \) and \( \mathrm{G} \frac{\mathrm{M}_{1} \mathrm{~m}}{\mathrm{r}^{2}} \)
(c) \( G \frac{M_{1} m}{q^{2}}, \frac{G\left(M_{1}+M_{2}\right) m}{p^{2}}, G \frac{M_{1} m}{q^{2}} \) and 0
(d) \( \frac{\mathrm{G}\left(\mathrm{M}_{1}+\mathrm{M}_{2}\right) \mathrm{m}}{\mathrm{p}^{2}}, \mathrm{G} \frac{\mathrm{M}_{1} \mathrm{~m}}{\mathrm{q}^{2}} \) and 0
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