Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in fig. The point A and B are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semicircular rod to the heat transferred through a cross-section of the straight rod in a given time is
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a
2:π
b
1 : 2
c
π : 2
d
3 : 2
answer is A.
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Detailed Solution
We know that dQdt=KAT1−T2d∴ dQdt∝1dSo, (dQ/dt)1(dQ/dt)2=1(πr/2r)=2rπr=2π