Question

# A wall has two layers and , each made of different materials. Both the layers have the same thickness. The thermal conductivity of the material of is twice that of . Under thermal equilibrium, the temperature difference across the wall is . The temperature difference across the layer is

A
B
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D
Medium

## Solution

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Correct option is B)

## Consider two walls '' and '' of thickness '' each, and thermal conductivity of '' and '' respectively. The temperatures at the left of = The temperatures at the right of = The temperature at the junction = Heat flow is a constant in steady state: Equating heat flow for both walls we get: Which simplifies to: Also given that the temperature difference between the walls is Combining the two equation in and eliminating We get

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