Physics Question from JEE Main 2026 · 28 January, Shift 1

Two circular discs of radius $10 \, \text{cm}$ each are joined at their centres by a rod, as shown in the figure. The length of the rod is $30 \, \text{cm}$ and its mass is $600 \, \text{g}$. The mass of each disc is also $600 \, \text{g}$. If the applied torque between the two discs is $43\times10^{5} \, \text{dyne}\cdot\text{cm}$, then the angular acceleration of the system about the given axis $AB$ is _____ $\text{rad s}^{-2}$.