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NTA Abhyas JEE Main2020PhysicsThermal Properties of MatterPractice

Two rods (one semi-circular and other straight) of the same material and of same cross-sectional area are joined as shown in the diagram. The points A and B are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of the straight rod in a given time is

Options

  1. A2 : π
  2. B1   :   2
  3. Cπ : 2
  4. D3 : 2

Correct answer

A. 2 : π

Step-by-step solution

dQ dt = KA Δ θ l ⁡ For both rods K, A and Δ θ are same. ∴ dQ dt ∝ 1 l ⁡ So, dQ / dt semicircular dQ / dt straight = l ⁡ straight l ⁡ semicircular = 2 r π r = 2 π

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