10-2.Transmission of Heat
medium

Two rods $A$ and $B$ of different materials are welded together as shown in  figure.Their thermal conductivities are $K_1$ and $K_2$  The thermal conductivity of the composite rod will be

A

$\frac{{3{K_1}{K_2}}}{2}$

B

$\frac{{{K_1} + {K_2}}}{3}$

C

$\;\frac{{{K_1}{K_2}}}{{3({K_1} + {K_2})}}$

D

$\;\frac{{{K_1} + {K_2}}}{2}$

(NEET-2017)

Solution

Eqiuivalent thermal conductivity of the composite rod in parallel combination will be,

$K = \frac{{{K_1}{A_1} + {K_2}{A_2}}}{{A{ _1} + {A_2}}} = \frac{{{K_1} + {K_2}}}{2}$

Standard 11
Physics

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