A shell of mass M and radius R has a point ma | vedclass

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(C) The gravitational potential energy $U(r)$ of a point mass $m$ at a distance $r$ from the center of a spherical shell of mass $M$ and radius $R$ is

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(C) The gravitational potential energy $U(r)$ of a point mass $m$ at a distance $r$ from the center of a spherical shell of mass $M$ and radius $R$ is given by $U(r) = m \cdot V(r)$,where $V(r)$ is the gravitational potential due to the shell.For $r For $r \geq R$,the gravitational potential is $V = -\frac{GM}{r}$. Thus,$U(r) = -\frac{GMm}{r}$,which varies inversely with $r$.The graph of $U(r)$ versus $r$ will be a horizontal line for $r \leq R$ and a curve following the inverse law for $r > R$. This matches the graph shown in option $C$.

$A$ shell of mass $M$ and radius $R$ has a point mass $m$ placed at a distance $r$ from its centre. The gravitational potential energy $U(r)$ vs $r$ graph will be:

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