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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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A cylinder of radius R\mathrm{R} made of a material of thermal conductivity K1\mathrm{K}_1 is surrounded by a cylindrical shell of inner radius R\mathrm{R} and outer radius 2R2 \mathrm{R} made of a material of thermal conductivity K2\mathrm{K}_2. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is -
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Correct option: B
(K1+3 K2)/4\left(\mathrm{K}_1+3 \mathrm{~K}_2\right) / 4
Option B is correct because the effective thermal conductivity is calculated considering the parallel combination of the two cylinders' thermal resistances.

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