# Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at 45^(@)C and the end is at 0^

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Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at 45^(@)C and the end is at 0^(@)C, then what is the junction temperature T?

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According to the question.
So, H= H_(1) + H_(2)
rArr (KA(T-0))/L = (KA(45-T))/L=KA(45-T)/L
rArr T= 45-T+45 -T rArr 3T=90 rArr T= 30^(@)`C