Physics - Heat & Thermo Question with Solution | TestHub

A metal rod $AB$ of length $10x$ has its one end $A$ in ice at $0^{\circ }\mathrm{C}$ and the other end $B$ in water at $100^{\circ }\mathrm{C}$. If a point $P$ on the rod is maintained at $400^{\circ }\mathrm{C}$, then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is $540{\mathrm{calg}}^{-1}$ and latent heat of melting of ice is $80{\mathrm{calg}}^{-1}$. If the point $P$ is at a distance of $\lambda x$ from the ice end $A$, find the value of $\lambda$. [Neglect any heat loss to the surrounding.]