A system of rods is assembled such that each rod has a length $l$ and cross-sectional area $S$ . The mode of heat transfer is conduction and the system is in steady state. The temperature of junction $A$ and $C$ is maintained at $T, 2 T$ respectively. Now answer the following question.

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Temperature of junction $B$ is $1.6 T$

Temperature of junction $D$ is $1.4 T$

The rate of heat flow along $B D$ is $\frac{21}{5} \frac{k T S}{l}$

The rate of heat flow along $B D$ is $\frac{1}{5} \frac{k T S}{l}$

answer is A, B, C.

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Detailed Solution

Let temperature
$k (T_{C} - T_{B}) = k (T_{B} - T_{D}) + k (T_{B} - T_{A})$
$2 k (T_{D} - T_{A}) + k (T_{D} - T_{A}) + k (T_{D} - T_{C}) = 0$

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