Three rods of identical cross-sectional ...

Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC right angled at B as shown in the figure. The points A and B are maintained at temperature T and `(sqrt2)T` respectively in the steady state. Assuming that only heat conduction takes place, temperature of point C will be

`(3T)/(sqrt(2) + 1)`

`(T)/(sqrt(2) + 1)`

`(T)/(3sqrt(2) - 1)`

`(T)/(sqrt(2) - 1)`

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