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A wall consists of alternating blocks wi...

A wall consists of alternating blocks withlength 'd' and coefficient of thermal conductivity `k_(1)` and `k_(2)`. The cross sectional area of the blocks are the same. The equivalent coefficient of thermal conductivity of the wall between left and right is:-

A

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

B

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

C

`(K_(1)+K_(2))/(3)`

D

`(3K_(1)+K_(2))/(K_(1)+K_(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Parallel combination of blocks
`C_("eq")=C_(1)+C_(2)+C_(1)+C_(2)+C_(1)+C_(2)`
`=3C_(1)+3C_(2)`
`(Kepsilon_(0)6A)/(d)=(3K_(1)Aepsilon_(0))/(d)+(3Aepsilon_(0)K_(2))/(d)`
`6K=3K_(1)+3K_(2)`
`K=1/(2)[K_(1)+K_(2)]`
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