Physics Question from JEE Main 2025 · 7 April, Shift 2

Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratio of lengths, radii and thermal conductivities of these rods are : $\frac{L_A}{L_B} = \frac{1}{2}$, $\frac{r_A}{r_B} = 2$, and $\frac{K_A}{K_B} = \frac{1}{2}$. The free ends of rods A and B are maintained at $400 \, \text{K}$, $200 \, \text{K}$, respectively. The temperature of rods interface is _____ $\text{K}$, when equilibrium is established.