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A slab consists of two parallel layers o...

A slab consists of two parallel layers of two different materials of same thickness having thermal conductivities `K_(1)` and `K_(2)`, the equivalent conductivity of the combination is :

A

`K_(1)+K_(2)`

B

`(K_(1)+K_(2))/(2)`

C

`(2K_(1)K_(2))/(K_(1)+K_(2))`

D

`(K_(1)+K_(2))/(2K_(1)K_(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
In parallel `(1)/(R_(p))=(1)/(R_(1))+(1)/(R_(2))`
`(1/l)/(k_(p).2A)=(1/l)/(k_(1)A)+(1/l)/(k_(2)A)`
`rArr" "k_(p)=(k_(1)+k_(2))/(2)`
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