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A slab consists of two parallel layers of copper and brass of the same thickness and having thermal conductivities in the ratio 1:4. If the free face of brass is at 100oC and that of copper at 0oC, the temperature (in oC) of the interface is 

Option: 1 80

Option: 2 26

Option: 3 60

Option: 4 40

Answers (1)

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As we have learnt,

 

Equivalent Thermal Conductivity in Parallel -

\frac{K_{1}A_{1}+K_{2}A_{2}+..........K_{n}A_{n}}{A_{1}+A_{2}+..............A_{n}}

-

 

 \\4K(100-\theta) = K(\theta - 0) \Rightarrow 400 - 4\theta = \theta \\ \theta = 80\degree C

 

Posted by

HARSH KANKARIA

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