Physics-
General
Easy

Question

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

  1. 2 : pi    
  2. 1 : 2    
  3. pi : 2    
  4. 3 : 2    

The correct answer is: 2 : pi


    fraction numerator d Q over denominator d t end fraction equals fraction numerator K A capital delta theta over denominator l end fraction, For both rods K, A and Dq are same Þ fraction numerator d Q over denominator d t end fraction proportional to fraction numerator 1 over denominator l end fractionSo fraction numerator left parenthesis d Q divided by d t right parenthesis subscript s e m i c i r c u l a r end subscript over denominator left parenthesis d Q divided by d t right parenthesis subscript s t r a i g h t end subscript end fraction equals fraction numerator l subscript s t r a i g h t end subscript over denominator l subscript s e m i c i r c u l a r end subscript end fraction equals fraction numerator 2 r over denominator pi r end fraction equals fraction numerator 2 over denominator pi end fraction

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