Question
Four rods of same material and having the same cross section and length have been joined, as shown. The temperature of junction of four rods will be........ $^oC$

Answer

$\frac{{{\rm{KA}}(90 - \theta )}}{l} = \frac{{{\rm{KA}}(\theta  - 30)}}{l} + \frac{{{\rm{KA}}(\theta  - {\rm{0}})}}{l} + \frac{{{\rm{KA}}(\theta  - 60)}}{l}$

$90-\theta=3 \theta-90^{\circ}$

$\theta=45^{\circ}$ $C$

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