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Question: The ratio of thermal conductivity of two rods of different materials is 5 : 4. The two rods of same ...

The ratio of thermal conductivity of two rods of different materials is 5 : 4. The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio–

A

5 : 4

B

1 : 9

C

9 : 1

D

4 : 5

Answer

5 : 4

Explanation

Solution

K1K2\frac{K_{1}}{K_{2}} = 54\frac{5}{4}

Q R = LKA\frac{L}{KA}

\ L µ K

L1L2\frac{L_{1}}{L_{2}} = K1K2\frac{K_{1}}{K_{2}} = 54\frac{5}{4}