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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Thermal Properties of Matter

AIIMS 2008 · Physics · Thermal Properties of Matter

A slab consists of two layers of different materials of the same...

A slab consists of two layers of different materials of the same thickness and having thermal conductivities K1K_1 and K2K_2 are connected in series. The equivalent thermal conductivity of the slab is

Options

  1. A(\frac{2 K_1 K_2}{K_1+K_2})
  2. B(\sqrt{K_1 K_2})
  3. C(\frac{K_1 K_2}{K_1+K_2})
  4. DK1+K2K_1+K_2.

Correct answer

A. (\frac{2 K_1 K_2}{K_1+K_2})

Step-by-step solution

 (a) : In series combination, tK1+tK2=2tK⇒1K1+1K2=2K⇒K=2K1K2K1+K2. \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}
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