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A wall consists of alternating blocks of...

A wall consists of alternating blocks of length 'd' and coefficient of thermal conductivity `k_(1)` and `k_(2)` respectively as shown in figure. 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
Equivalent
`k=(sumk_(i)A_(i))/(sumA_(i))`
`=(k_(1)A+k_(2)A+k_(1)A+K_(2)A+k_(1)A+k_(2)A)/(6A)`
`=(3(k_(1)+k_(2)A))/(6A)=(k_(1)+k_(2))/(2)`
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