A sphere of mass M and radius R_2 has a co

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A sphere of mass $M$ and radius $R_2$ has a concentric cavity of radius $R_1$ as shown in figure. The force $F$ exerted by the sphere on a particle of mass $m$ located at a distance r from the centre of sphere varies as $(0 \le r \le \,\infty )$

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A sphere of mass $M$ and radius $R_2$ has a concentric cavity of radius $R_1$ as shown in figure. The force $F$ exerted by the sphere on a particle of mass $m$ located at a distance r from the centre of sphere varies as $(0 \le r \le \,\infty )$

$F = 0$ when $0 \le r \le {R_1}$
because intensity is zero inside the cavity.
$F$ increase when ${R_1} \le r \le {R_2}$
$F \propto \frac{1}{{{r^2}}}$ when $r > {R_2}$