Physics - Heat & Thermo Question with Solution | TestHub

Metal rods $X$ and $Y$ of identical cross-sectional area, lengths 60 cm and 30 cm, have thermal conductivities ${\lambda }_X$ and ${\lambda }_Y$. They are well lagged and joined end to end as shown in Figure 4.43. One end of $X$ is maintained at $100^{\circ }$C and the opposite end of $Y$ at $0^{\circ }$C. When steady conditions have been reached, the temperature of the junction is found to be $25^{\circ }$C. What is the value of $\frac{{\lambda }_X}{{\lambda }_Y}$?