Engineering
Physics
Conduction of Heat
Question

Six identical conducting rods having uniform cross-section area are fixed to make a regular hexagon as shown. The ends A and C are maintained at constant temperature 2T0 and 6T0. After the steady state is reached, pick up the correct relation between temperatures TB, TD, TE and TF of ends B, D, E and F respectively : (Neglect convection and radiation losses)

TD = TB > TE > TF

TB > TF = TE > TD

TD > TE = TB > TF

TD > TE > TF = TB

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Solution

TB = 4T0                 
TD = 5T0
TE = 4T0
TF = 3T0