Transmission Of Heat Question 72

Question: A slab consists of two parallel layers of two different materials of same thickness having thermal conductivities K1 and K2. The equivalent conductivity of the combination is

[BHU 2001]

Options:

A) $ K _{1}+K _{2} $

B) $ \frac{K _{1}+K _{2}}{2} $

C) $ \frac{2K _{1}K _{2}}{K _{1}+K _{2}} $

D) $ \frac{K _{1}+K _{2}}{2K _{1}K _{2}} $

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Answer:

Correct Answer: B

Solution:

In parallel combination equivalent conductivity $ K=\frac{K _{1}A _{1}+K _{2}A _{2}}{A _{1}+A _{2}}=\frac{K _{1}+K _{2}}{2} $ (As $ A _{1}=A _{2} $ )