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Four identical rods AB, CD, CF and DE ar...

Four identical rods `AB, CD, CF and DE` are joined as shown in figure. The length, cross-sectional area and thermal conductivity of each rod are `l, A and K` respectively. The ends `A, E and F` are maintained at temperature `T_(1)` , `T_(2)` and `T_(3)` respectively. Assuming no loss of heat to the atmosphere, find the temperature at `B`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

`H_1 + H_2 = H_3`
`((T_3-T)/(3R//2)) + ((T_2-T)/(3R//2)) = (T-T_1)/R`
`:. T = ((3T_1+2(T_2+T_3))/7)` .
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