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A wall is made of equally thick layers ...

A wall is made of equally thick layers A and B of different matierals. Thermal conduvtivity of A is twice that of B. In the stedy state, 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
Thermal resistance,
`R = l/(KA) prop 1/K rArr K_A = 2K_B`
`:. R_A = (R_B)/2`
So, let `R_A = R "then" R_B = 2R`
Now, `H_A = H_B`
`:. (TD)_A/R_A = (TD)_B/R_B or (TD)_A = (R_A/R_B)(TD)_B`
`= (R/(2R))(36^@C) = 18^@C` .
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