Heat And Thermodynamics

A conducting rod of length \(1 \mathrm{~m}\) has area of cross-section \(10^{-3} \mathrm{~m}^2\). One end is immersed in baiting water \(\left(100^{\circ} \mathrm{C}\right)\) and the other end in Ice \(\left(0^{\circ} \mathrm{C}\right)\). If coefficient of thermal conductivity of \(\mathrm{rod}\) is \(96 \mathrm{~cal} / \mathrm{sm}^{\circ} \mathrm{C}\) and latent heat for ice is \(8 \times 10^{-4} \mathrm{cal} / \mathrm{kg}\) then the amount of ice which will melt in one minute is