Question:
Two identical metal wires of thermal conductivities $\mathrm{K}_{1}$ and $\mathrm{K}_{2}$ respectively are connected in series. The effective thermal conductivity of the combination is :
Correct Option: 1
Solution:
$\mathrm{R}_{\mathrm{eff}}=\frac{l}{\mathrm{~K}_{1} \mathrm{~A}}+\frac{l}{\mathrm{~K}_{2} \mathrm{~A}}=\frac{2 l}{\mathrm{~K}_{\mathrm{eq}} \mathrm{A}}$
$\mathrm{K}_{\mathrm{eq}}=\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$
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