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Concepts Of Physics MCQ Edition [Volume 2]PhysicsHeat Transfer

A semicircular rod is connected at its ends to a straight rod made of the same material and having the same cross-sectional area. The straight rod acts as a diameter for the semicircular rod. The junctions are maintained at different temperatures. Determine the ratio of the heat transferred through a cross section of the semicircular rod to the heat transferred through a cross section of the straight rod in a given t

Options

  1. A: 2
  2. B: 1
  3. C1 :
  4. D2 :

Correct answer

D. 2 :

Step-by-step solution

Let the radius of the semicircular rod be R . The length of the straight rod is equal to the diameter of the semicircle, so L₁ = 2R . The length of the semicircular rod is L₂ = R . Let the temperatures at the two junctions be T₁ and T₂ . The rate of heat transfer through a rod of length L , cross-sectional area A , and thermal conductivity k is given by H = kA(T₁ - T₂) L . The heat transferred through the semicircular rod in a given time interval t is: Q₂ = kA(T₁ - T₂)t R The heat transferred through the straight r

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