First slide

Conduction

Question

The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure. What will be the temperature at the junction of the copper and steel.

Easy

A

$75^{o} C$
B

$67^{o} C$
C

$33^{o} C$
D

$25^{o} C$

Solution

Rate of heat flow far both the rods are same.
$\frac{Q}{t} = KA (\frac{θ_{1} - θ_{2}}{l}) = constant$
$\frac{9 K (100 - θ)}{18} = \frac{K (θ - 0)}{6}$
$300 - 3 θ = θ$
$θ = 75^{o} C$

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