Physics - Gravitation Question with Solution | TestHub

From a solid sphere of mass$\mathrm{M}$and radius$\mathrm{R},$a spherical portion of radius$\frac{\mathrm{R}}{2}$is removed, as shown in the figure. Taking gravitational potential$\mathrm{V}=0$at$\mathrm{r}=\mathrm{\infty },$the potential at the centre of the cavity thus formed is:

$\left(\mathrm{G}=Universal\mathrm{g}\mathrm{r}\mathrm{a}\mathrm{v}\mathrm{i}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{i}\mathrm{o}\mathrm{n}\mathrm{a}\mathrm{l}\mathrm{ }\mathrm{c}\mathrm{o}\mathrm{n}\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{n}\mathrm{t}\right)$