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

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25⁰C

75⁰C

33⁰C

67⁰C

answer is A.

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Detailed Solution

Let the temperature at the junction be T

heat current along the rod will be same.

$\frac{dQ}{dt} = \frac{9 kA (100 - T)}{18} = \frac{kA (T - 0)}{6}$

$\Rightarrow T = 75 ° C$

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