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

A wall has two layers A and B, each made of different material. Both the layers have the same thickness. The thermal conductivity of the material of A is twice that of B . Under thermal equilibrium, the temperature difference across the wall is `36^@C.` The temperature difference across the layer A is

A

`6^(@)C`

B

`12^(@)C`

C

`18^(@)C`

D

`24^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B

`K_(A)=2K_(B)=2K`
Heat current through both layers will be same
`((36-T)/(d))K_(A)A=((T-0)/(d))K_(B)A`
`(36-T)2K=TK`
`T=72/(3)=24`
`DeltaT` = temp difference = 36 - 24 = 12
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