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A wall consists of alternate blocks with a length d and coefficients of thermal-conductivity ${lambda _1}$ and ${lambda _2}$ . The area of cross- section of the blocks is same. The effective thermal conductivity of the wall is :

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$lambda = frac{{{lambda _1}{lambda _2}}}{{{lambda _1} + {lambda _2}}}$

$lambda = 2left( {{lambda _1} + {lambda _2}} right)$

$lambda = frac{{{lambda _1} + {lambda _2}}}{2}$

$lambda = frac{{{lambda _1} + {lambda _2}}}{4}$

answer is C.

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Detailed Solution

$Heat,,current,,Q = {Q_1} + {Q_2}$

$frac{{lambda times 2A({T_1} - {T_o})}}{d} = frac{{{lambda _1}Aleft( {{T_1} - {T_0}} right)}}{d} + frac{{{lambda _z}Aleft( {{T_1} - {T_0}} right)}}{d}lambda ,,,,,,,,= frac{{{lambda _1} + {lambda _2}}}{2}$

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