Three cylindrical rods A, B, and C of equal lengths and equal diameters are joined in series as shown in the figure. Their thermal conductivities are 2K, K, and 0.5 K respectively.
A
B
C
100°C 0 c
In the steady-state, the free ends of roads A and C are at 100° C and 0°C respectively. Neglecting loss of heat from the curved surface of rods.
Based on the above information, answer the following:
(i) Determine the temperature of the junction between rods A and B.
(ii) Determine the temperature of the junction between rods B and C.
(iii) Determine the equivalent thermal conductivity of the combination.
(iv) Define the coefficient of thermal conductivity of a solid. Write its SI unit.
(v) Two roads A and B are of equal length. Each rod has the ends at temperatures T1 and T2. What is the condition that will ensure the equal rate of flow of heat through rods A and B?
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