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Question

Question: Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities K<sub...

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities K1, K2, K3, K4 and K5 when points A and B are maintained at different temperatures. No heat flows through the central rod if –

A

K1K4 = K2K3

B

K1 = K4 and K2 = K3

C

K1K4=K2K3\frac{K_{1}}{K_{4}} = \frac{K_{2}}{K_{3}}

D

K1K2 = K3K4

Answer

K1K4 = K2K3

Explanation

Solution

Wheatstone balance bridge

K1K2\frac{K_{1}}{K_{2}} = K3K4\frac{K_{3}}{K_{4}} \ K1K4 = K2K3