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  • Two identical metal wires of thermal conductivities and respectively are connected in series. The effective thermal conductivity of the combination is :

Two identical metal wires of thermal conductivities K_{1} and K_{2} respectively are connected in series. The effective thermal conductivity of the combination is :
 
Option: 1 \frac{K_{1}+K_{2}}{2K_{1}K_{2}}
Option: 2 \frac{K_{1}K_{2}}{K_{1}+K_{2}}
Option: 3 \frac{K_{1}+K_{2}}{K_{1}K_{2}}  
Option: 4 \frac{2K_{1}K_{2}}{K_{1}+K_{2}}

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 \begin{array}{l} \mathrm{R}_{\mathrm{eq}}=\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}} \end{array}

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