A slab consists of two layers of different materials of the same thickness and having thermal conductivities…

A slab consists of two layers of different materials of the same thickness and having thermal conductivities \(K_1\) and \(K_2\) are connected in series. The equivalent thermal conductivity of the slab is
  1. \(\frac{2 K_1 K_2}{K_1+K_2}\)
  2. \(\sqrt{K_1 K_2}\)
  3. \(\frac{K_1 K_2}{K_1+K_2}\)
  4. \(K_1+K_2\).

Solution

$\begin{aligned} & \text { (a) : In series combination, } \frac{t}{K_1}+\frac{t}{K_2}=\frac{2 t}{K} \\ & \Rightarrow \frac{1}{K_1}+\frac{1}{K_2}=\frac{2}{K} \Rightarrow K=\frac{2 K_1 K_2}{K_1+K_2} \text {. }\end{aligned}$ ~

Asked in: NEET 2016 (Phase 2)

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