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`.

Answer

A, B, C

Explanation

`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)` .