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.

Options

A. `2:pi`
B. `1:2`
C. `pi:2`
D. `3:2`

Answer

A

Explanation

Since , `(dQ)/(dt)=(KA triangle T)/(l)`
`implies (dQ)/(dt) prop 1/l implies (((dQ)/(dt))_("semicircular"))/(((dQ)/(dt))_("straight"))=(l_("straight"))/(l_("semicircular"))=(2r)/(pi r) = (2)/(pi)`