# Temperature at midway between 2 rods

Classical Mechanics Level 3

Two long, thin, solid cylinders are identical in size, but they are made of different substances with two different thermal conductivities. The two cylinders are connected in series between a reservoir at temperature $$T_{hot}$$ and a reservoir at temperature $$T_{cold}$$. The temperature at the boundary between the two cylinders is $$T_b$$. One can conclude that :-

(A) $$T_b$$ is closer to $$T_{hot}$$ than it is to $$T_{cold}$$

(B) $$T_b$$ is closer to $$T_{cold}$$ than it is to $$T_{hot}$$

(C) $$T_b$$ is closer to the temperature of the reservoir that is connected through the cylinder of lower thermal conductivity

(D) $$T_b$$ is closer to the temperature of the reservoir that is connected through the cylinder of higher thermal conductivity

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