Three rods of copper

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Three rods of copper, brass, and steel are welded together to form a Y-shaped structure. The cross-sectional area of each rod is

4\,\text{cm}^2

. The ends of the copper, brass, and steel rods are maintained at

100^\circ\text{C}

80^\circ\text{C}

, and

60^\circ\text{C}

, respectively. Assume that there is no heat loss from the rod surfaces. Their lengths are

46\,\text{cm}

13\,\text{cm}

, and

12\,\text{cm}

, respectively.

k_{\text{Cu}}=0.92

k_{\text{steel}}=0.12

, and

k_{\text{brass}}=0.26\,\text{cal}\,\text{cm}^{-1}\text{s}^{-1}\,{}^\circ\text{C}^{-1}

. (a) What is the temperature of the junction point? (b) What is the heat current in the copper rod?