Two slabs, A and B

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Two slabs, A and B, each 1.0 cm1.0\,\text{cm} thick, are firmly joined to form a composite wall. The thermal conductivities are kA=0.04 W m−1K−1k_A = 0.04\,\text{W m}^{-1}\text{K}^{-1} and kB=0.12 W m−1K−1k_B = 0.12\,\text{W m}^{-1}\text{K}^{-1}. The outer faces are maintained at 100∘C100^{\circ}\text{C} and 0∘C0^{\circ}\text{C}, respectively. Assuming steady-state one-dimensional conduction and neglecting edge effects, the temperature at the interface of the two slabs is closest to (a) 50∘C50^{\circ}\text{C} (b) 75∘C75^{\circ}\text{C} (c) 25∘C25^{\circ}\text{C} (d) 33∘C33^{\circ}\text{C}

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