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COMEDK2020PhysicsThermal Properties of Matter

A compound slab is made of two parallel plates of copper and brass of the same thickness and having thermal conductivities in the ratio 4: 1 . The free face of copper is at 0^ C . The temperature of the interface is 20^ C . What is the temperature of the free face of brass?

Options

  1. A0^ C
  2. B20^ C
  3. C40^ C
  4. D100^ C

Correct answer

D. 100^ C

Step-by-step solution

Given, K_ copper : K_ brass =4: 1 K_ copper K_ brass = 4 1 Let the temperature of the free surface of brass = Rate of flow of heat will be equal in both the plates as connected in series. i.e. H=K_ brass A( -20) l =K_ copper A(20-0) l array cl -20 20 & = K_ copper K_ brass = 4 1 -20 & =80 & =100^ C array

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