Two concentric shells have masses M and m and | vedclass

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(C) For a point at distance $x$ from the centre,where $r < x < R$:$1$. The point lies outside the inner shell (radius $r$,mass $m$). The potential due

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$ - G\left[ \frac{M}{R} + \frac{m}{x} \right] $

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(C) For a point at distance $x$ from the centre,where $r $1$. The point lies outside the inner shell (radius $r$,mass $m$). The potential due to the inner shell is $V_1 = -\frac{Gm}{x}$.$2$. The point lies inside the outer shell (radius $R$,mass $M$). The potential inside a spherical shell is constant and equal to the potential at its surface,so $V_2 = -\frac{GM}{R}$.$3$. The total gravitational potential $V$ is the sum of the potentials due to both shells: $V = V_1 + V_2 = -\frac{Gm}{x} - \frac{GM}{R} = -G \left[ \frac{M}{R} + \frac{m}{x} \right]$.

Two concentric shells have masses $M$ and $m$ and their radii are $R$ and $r$ respectively,where $R > r$. If $x$ is the distance from the common centre,what is the gravitational potential at a point for which $r < x < R$?

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