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  4. 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 will be

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Q. 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 $r$ will be

Gravitation

Solution:

Gravitational $P.E. = m \times$ gravitational potential
$U = mV $
So the graph of $U$ will be same as that of $V$ for a spherical shell.