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Three rods made from the same material and having the same cross-sectional area, form the sides of an isosceles triangle A B C , right-angled at B . The points A and B are maintained at temperature T and 2 T , respectively. In steady-state, the temperature of the point C is T C . Assuming that only heat conduction takes place along the lengths of the rods, the value of T C T is

Options

  1. A1 2 2 - 1
  2. B3 2 + 1
  3. C1 3 2 - 1
  4. D1 2 + 1

Correct answer

B. 3 2 + 1

Step-by-step solution

Δ Q Δ t BC = Δ Q Δ t CA ⇒ kA 2 T - T C a = kA T C - T 2 a Solve to get T C T = 3 2 + 1

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