Question

Two conductors $A$ and $B$ each of cross-section area $5c{m}^2$ are connected in series. Variation of temperature (in ${}^{\circ }C$ ) along the length (in $cm$ ) is as shown in the figure. If thermal conductivity of $A$ is $200J{m}^{-1}{s}^{-1}{}^{\circ }{C}^{-1}$ and thermal conductivity of $B$ is $k$ (in $J{m}^{-1}{s}^{-1}{}^{\circ }{C}^{-1}$ ), then find $\sqrt{\frac{k}{8\sqrt{3}}}.$

Answer 1

Answer: 5

$\frac{T_2-T_1}{\left(\frac{l_1}{K_{1}A}\right)}=\frac{T_3-T_2}{\left(\frac{l_2}{K_{2}A}\right)}$
$K_1\left(\tan 60^{\circ }\right)=K_2\left(\tan 45^{\circ }\right)$