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Manipal MET2014PhysicsThermal Properties of Matter

Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperature. 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:
  2. B1: 2
  3. C: 2
  4. D3: 2

Correct answer

A. 2:

Step-by-step solution

d Q d t = K A I , for both rods K, A and are same d Q d t 1 l so (d Q / d t)_ semi-circular (d Q / d t)_ straight = l_ straight l_ semi-circular = 2 r r = 2

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