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Two slabs `A` and `B` of equal surface area are placed one over the other such that their surfaces are completely in contact. The thickness of slab `A` is twice that of `B`. The coefficient of thermal conductivity of slab `B` is maintained at `25^(@)C`. The temperature at the contact of their surface is
A. `62.5^(@)C`
B. `45^(@)C`
C. `55^(@)C`
D. `85^(@)C`

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(a) temperature at the contact of the surface
`=(k_(2)d_(2)theta_(1)+k_(2)d_(1)theta_(2))/(k_(1)d_(2)+k_(2)d_(2))`
`=(2k_(2)d_(2)xx100+2d_(2)xxk_(2)xx35)/(2k_(2)d_(2)+k_(2)2d_(2))`
`=(200+50)/4=62.5^(@)C`

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