Four rods of same material and having the same cross section and … - Vidyadip

MCQ

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........ $^oC$

A
$20$
B
$30$
✓
$45$
D
$60$

✓

Answer

Correct option: C.

$45$

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

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

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

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