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KCET2007PhysicsThermal Properties of Matter

Two identical rods A C and C B made of two different metals having thermal conductivities in the ratio 2: 3 are kept in contact with each other at the end C as shown in the figure. A is at 100^ C and B is at 25^ C . Then the junction C is at

Options

  1. A55^ C
  2. B60^ C
  3. C75^ C
  4. D50^ C

Correct answer

A. 55^ C

Step-by-step solution

Let the temperature of the junction be . Heat flow through the rod is given by aligned & Q &= K A ( ₁- ₂ ) d & Here, K₁(100- ) &=K₂( -25) & K₁ K₂ &= -25 100- & But & K₁ K &= 2 3 (given) & 2 3 &= -25 100- & 3 -75 &=200-2 & 5 &=275 & &=55^ C aligned

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