A cylinder of radius made of a material of thermal conductivity is surrounded by a…

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

Problem

A cylinder of radius RR made of a material of thermal conductivity K1K_1 is surrounded by a cylindrical shell of inner radius RR and outer radius 2R2R made of a material of thermal conductivity K2K_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. Find the effective thermal conductivity of the system. (1) K1+K2K_1 + K_2 (2) K1K2/(K1+K2)K_1 K_2 / (K_1 + K_2) (3) (K1+3K2)/4(K_1 + 3K_2) / 4 (4) (3K1+3K2)/4(3K_1 + 3K_2) / 4

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