The wall of a house is made of two different materials of same thickness. The temperature of the outer wall is $T_{2}$ and that of inner wall is $T_{1} < T_{2}$ The temperature variation inside the wall is as shown in the figure. Then

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Thermal conductivity of inner wall is greater than that of outer

Thermal conductivities of the two are equal

Thermal conductivity of outer wall is greater than that of inner

No conclusion can be drawn about thermal conductivities

answer is B.

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Detailed Solution

The slope of temperature variation is more in inner

$\frac{dQ}{dt} = \frac{KA}{ℓ} \cdot ΔT \Rightarrow ΔT = \frac{ℓ}{KA} \cdot \frac{dQ}{dt}$

Slop $α \frac{1}{K}$

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