<p>Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratios of lengths, radii and thermal conductivites of these rods are:&nbsp;<span class="equation">\(\frac{L_A}{L_B}=\frac{1}{2}, \frac{r_A}{r_B} = 2\)</span>&nbsp;and <span class="equation">\(\frac{K_A}{K_B} = \frac{1}{2}\)</span>​​​​​​​.&nbsp;The free ends of rods A and B are maintained at 400 K , 200 K , respectively. The temperature of rods interface is ______________ K, when equilibrium is established.​​​​​​​</p>