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:
\
$\mathrm{R}_{\text {eff }}=\frac{l}{\mathrm{~K}_{1} \mathrm{~A}}+\frac{l}{\mathrm{~K}_{2} \mathrm{~A}}=\frac{2 l}{\mathrm{~K}_{\mathrm{eq}} \mathrm{A}}$
$\mathrm{K}_{\mathrm{eq}}=\frac{2 \mathrm{~K}_{1} \mathrm{~K}_{2}}{\mathrm{~K}_{1}+\mathrm{K}_{2}}$