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Question

Two walls of thickness d1 and d2, thermal conductivities K1 and K2 are in contact. In the steady state, if the temperature at the outer surfaces are T1 and T2, the temperature at the contact of the walls will be

A
K1T1+K2T2d1+d2
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B
K1T1d2+K2T2d1K1d2+K2d1
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C
(K1d1+K2d2)T1T2T1+T2
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D
K1d1T1+K2d2T2K1d1+K2d2
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Solution

The correct option is B K1T1d2+K2T2d1K1d2+K2d1

Heat flow across both the walls will be same.
K1Ad1(TT1)=K2Ad2(T2T)

K1Td2K1T1d2=K2T2d1K2Td1

T=K1T1d2+K2T2d1K1d2+K2d1

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