Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity 2 K while that…

Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity $\displaystyle 2 K$ while that in the middle has thermal conductivity $\displaystyle K$. The left end of the combination is maintained at temperature $\displaystyle 3 T$ and the right end at $\displaystyle T$. The rods are thermally insulated from outside. In steady state, temperature at the left junction is $\displaystyle T_1$ and that at the right junction is $\displaystyle T_2$. The ratio $\displaystyle T_1 / T_2$ is