Two rods of the same length 1 and same rectangular cross-section A, but different thermal conduc- tivities, k₁ and k2, are welded end-to-end, and coupled to thermal reservoirs at the two ends. The temperatures of the two ends are held constant at 0°C and 100°C, as shown. Heat flows from right to left. What is the temperature at the junction if k₁ = 2k2. 0°C k₁ k₂ 100°C

Two rods of the same length 1 and same rectangular cross-section A, but different thermal conduc- tivities, k₁ and k2, are welded end-to-end, and coupled to thermal reservoirs at the two ends. The temperatures of the two ends are held constant at 0°C and 100°C, as shown. Heat flows from right to left. What is the temperature at the junction if k₁ = 2k2. 0°C k₁ k₂ 100°C