Five identical rods are joined as shown in figure- Point A and C are maintained at temperature 120- C and 20- C respectively- The temperature of junction B will be

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Conduction Law

Five identica...

Question

Five identical rods are joined as shown in figure. Point A and C are maintained at temperature $120^{\circ}$ C and $20^{\circ}$ C respectively. The temperature of junction B will be

100^{\circ}

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80^{\circ}

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70^{\circ}

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0^{\circ}

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Solution

The correct option is C $70^{\circ}$ C
Effective resistance between B, C is equal to resistance of each rod
$(H e a t c u r r e n t)_{A C} = (H e a t c u r r e n t)_{A B} \frac{(120 - 20)}{2 R} = \frac{(120 - θ)}{R} \Rightarrow θ = 70^{\circ} C$

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