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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 A is twice that of B . The first surface of slab A is maintained at 100^ C , while the second surface of slab B is maintained at 25^ C . The temperature at the contact of their surfaces is

Options

  1. A62.5^ C
  2. B45^ C
  3. C55^ C
  4. D85^ C

Correct answer

A. 62.5^ C

Step-by-step solution

The temperature at the contact of the surface aligned & = K₁ d₂ ₁+K₂ d₁ ₂ K₁ d₂+K₂ d₁ & = 2 K₂ d₂ 100+2 d₂ K₂ 25 2 K₂ d₂+K₂ 2 d₂ & = 200+50 4 =62.5^ C aligned

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