Physics - Rotation Question with Solution | TestHub

The linear mass density of a rod of length L varies from one end to the other as ${\lambda }_0\left(1+\frac{{\mathrm{x}}^2}{{\mathrm{L}}^2}\right)$, where x is the distance from one end, where ${\lambda }_0$ is a constant. The rod is suspended from a ceiling by two massless strings with tensions ${\mathrm{T}}_1$ and ${\mathrm{T}}_2$ in them (see figure). Then, which of the following statement(s) is/are correct ?