1.

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 point A and B are maintained at different temperature. Find 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. A. `(2)/(pi)`B. `(1)/(pi)`C. `pi`D. `(pi)/(2)`

Answer» Correct Answer - A
`(dQ)/(dt) = (KA Delta theta)/(l) `, for both rods `K, A` and `Delta theta` are same
`rArr (dQ)/(dt) prop 1/l ` so `((dQ//dt)_("semicircular"))/((dQ//dt)_("straight"))`
`=(l_("straight"))/(l_("semicircular")) = (2r)/(pi r) = 2/(pi)`.


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