1.

A wall has two layers A and B, each made of defferent material. A has thickness 10 cm, while B has thickness 20 cm, their coefficients of conductivities are in the ratio of 3:1. A constant temperature difference of 35^(@)C exists across the wall. The difference of temperature across the layer A is :

Answer»

`28^(@)C`
`19^(@)C`
`5^(@)C`
`13.5^(@)C`

Solution :Let `DeltaT_(1)` and `DeLtaT_(2)` be the temperature dIfference a LAYER A and B respectively.

In STEADY state
`H_(1)=H_(2)`.
`(k_(1)A(DeltaT_(1)))/(l_(1))=(k_(2)A(DeltaT_(2)))/(l_(2))`
`(3kDeltaT_(1))/(10)=(kDeltaT_(2))/(20)`
`(DeltaT_(1))/(DeltaT_(2))=1/6""rArr""DeltaT_(2)=6DeltaT_(1)`
Also `DeltaT_(1)+DeltaT_(2)=35`
`DeltaT_(2)=6DeltaT_(1)=35""rArr""DeltaT_(1)=5^(@)C`.
Thus correct choice is (c ).


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