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Inner surface of a cylindrical shell of length and of material of thermal conductivity k...

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Inner surface of a cylindrical shell of length and of material of thermal conductivity k is kept at constant temperature T and the outer surface of the cylinder is kept at constant temperature T such that T T as shown in figure Heat flows from inner surface to outer surface to outer surface radially outward Inner and outer radii of the shell are R and 2R respectively Due to lack of space this cylinder has to be replaced by a smaller cylinder of length inner and outer radii and R respectively and thermal conductivity of material nk If rate of radially outward heat flow remains same for same temperature of inner and outer surface i e T and T then find the value of n R 2 8 T 010 42R

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