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10-2.Transmission of Heat
normal
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
A
$\frac{2 K _{1} K _{2}}{ K _{1}+ K _{2}}$
B
$\frac{ K _{1}+ K _{2}}{2 K _{1} K _{2}}$
C
$\frac{ K _{1}+ K _{2}}{ K _{1} K _{2}}$
D
$\frac{ K _{1} K _{2}}{ K _{1}+ K _{2}}$
Solution
$R _{ eff }=\frac{l}{ K _{1} A }+\frac{l}{ K _{2} A }=\frac{2 l}{ K _{ eq } A }$
$K _{ eq }=\frac{2 K _{1} K _{2}}{ K _{1}+ K _{2}}$
Standard 11
Physics
