Five rods of same dimensions are arranged as shown in figure. They have thermal conductivitites $K_{1},$ $K_{2},$ $K_{3},$ $K_{4}$ and $K_{5} .$ When points $A$ and $B$ are maintained at same temperatures, no heat flows through the central rod if

Question

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivitites

K_{1},

K_{2},

K_{3},

K_{4}

and

K_{5} .

When points

A

and

B

are maintained at same temperatures, no heat flows through the central rod if

Toppr Admin · Accepted Answer

No heat will pass if TC-TD and all lengths are equalk1-TD-x2212-TB-k2-TC-x2212-TB-k3-TD-x2212-TA-k4-TC-x2212-TA-Since TC-TDk1k3-k2k4Thus- k1k4-k2k3

Five rods of same dimensions are arranged as shown in the fig.They have thermal conductivities, k1,k2,k5,k4 and k3 when points A and B are maintained at different temperatures. No heat flows through the central rod if:k1k4=k2k3k1=k4 and k2=k3k1k4=k2k3k1k2=k3k4