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Q.

Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are $K_{1} a n d K_{2}$ .

The thermal conductivity of the composite rod will be

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a

$\frac{3 (K_{1} + K_{2})}{2}$

b

$K_{1} + K_{2}$

c

$2 (K_{1} + K_{2})$

d

$\frac{K_{1} + K_{2}}{2}$

answer is D.

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Detailed Solution

Equivalent thermal conductivity of the composite rod in parallel combination will be,

$K = \frac{K_{1} A_{1} + K_{2} A_{2}}{A_{1} + A_{2}} = \frac{K_{1} + K_{2}}{2}$

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Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K1 and K2. The thermal conductivity of the composite rod will be