Physics Question from JEE Main 2026 · 21 January, Shift 1

Two identical thin rods of mass $M$ kg and length $L$ m are connected as shown in figure. Moment of inertia of the combined rod system about an axis passing through point $P$ and perpendicular to the plane of the rods is $\frac{x}{12} ML^2$ kg m$^2$. The value of $x$ is _____.