Question

All the rods have same conductance ' $K$ ' and same area of cross section '$A$'. If ends $A$ and $C$ are maintained at temperature $2 T_{0}$ and $T_{0}$ respectively then which of the following is/are correct?

• A. Rate of heat flow through $A B C, A O C$ and $A D C$ is same
• B. Rate of heat flow through $B O$ and $O D$ is not same
• C. Total rate of heat flow from $A$ to $C$ is $\frac{3 K A T_{0}}{2 a}$
• D. Temperature at junctions $B, O$ and $D$ are same

Answer 1

Answer: (D)

By symmetry
$I_{A B}=I_{B C}$ and $I_{A D}=I_{D C}$
$\therefore $ No current in $B O$ and $O D$
$\therefore T_{B}=T_{O}=T_{D}$