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A wall has two layers A and B, each made...

A wall has two layers A and B, each made od=f different material. Both the layers have the same thickness. The thermal conductivity for A is twice that B and, under steady condition, the temperature difference across the wall is `36^(@)`C. The temperature difference across the layer A is

A

`6^(@)C`

B

`9^(@)C`

C

`18^(@)C`

D

`27^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
The two are in series.
`K_(A)=3K_(B)`
i.e., thermal resistance of A (say `R_(A)`) is one third that of B (say `R_(8)`)
i.e., `R_(B)=3R_(A)`
`:.` Thermal current =`36/(4R_(A))=9/(R_(A))`
`:.` Temperature difference across 'A' `=(9/(R_(A))).R_(A)=9^(@)C`
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