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  4. Two metal cubes A and B of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of A and B are 300 W / m ° C and 200 W / m ° C, respectively. After steady state is reached, the temperature of the interface will be

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Q. Two metal cubes $A$ and $B$ of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of $A$ and $B$ are $300\, W / m ^{\circ} C$ and $200\, W / m\,{ }^{\circ} C$, respectively. After steady state is reached, the temperature of the interface will bePhysics Question Image

Thermal Properties of Matter

Solution:

Temperature of interface
$T=\frac{K_{1} \theta_{1}+K_{2} \theta_{2}}{K_{1}+K_{2}}$
$=\frac{300 \times 100+200 \times 0}{300+200}=60^{\circ} C$