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Question

A solid cylinder of radius $R$ made of a material with thermal conductivity $K_1$ is surrounded by a cylindrical shell with an inner radius $R$ and an outer radius $2R$, made of a material with thermal conductivity $K_2$. The two ends of the combined system are maintained at different temperatures. There is no loss of heat across the cylindrical surface, and the system is in a steady state. The effective thermal conductivity of the system is

$K_1 + K_2$

$\frac{K_1 K_2}{K_1 + K_2}$

$\frac{3K_1 + K_2}{4}$

$\frac{K_1 + 3K_2}{4}$

Solution

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