Gujarati
Hindi
10-2.Transmission of Heat
hard

A composite rod made of three rods of equal length and cross-section as shown in the fig. The thermal conductivities of the materials of the rods are $K/2, 5K$ and $K$ respectively. The end $A$ and end $B$ are at constant temperatures. All heat entering the face Agoes out of the end $B$ there being no loss of heat from the sides of the bar. The effective thermal conductivity of the bar is

A

$15K/16$

B

$6K/13$

C

$5K/16$

D

$2K/13.$

Solution

by given concept

$\frac{3 l}{K}=\frac{l}{k / 2}+\frac{l}{5 k}+\frac{l}{k}$

$\frac{3 l}{K}=\frac{2 l}{k}+\frac{l}{5 k}+\frac{l}{k}=\frac{10 l+l+5 l}{5 k}=\frac{16 l}{5 k}$

$K=\frac{15 k}{16}$

Standard 11
Physics

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