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Question

A semicircular rod is joined at its end to a straight rod of the same material and the same cross -sectional area. The straight rod forms a diameter of the other rod. The junctions are maintained at different temperatures. Find 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 time.


Solution

We know Q=kA(θ1θ2)d

Q1=kA(θ1θ2)d1

Q2=kA(θ1θ2)d2

Q1Q2=KA(θ1θ2)πrKA(θ1θ2)2r=2rπr=2π

where d1=πr  d2=2r


Physics
Concepts of Physics
Standard XII

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