Calculate the rate of flow of the heat through a tapering rod of length \( l \), tapering from r...
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Calculate the rate of flow of the heat through a tapering rod of length \( l \), tapering from radius \( r_{1} \) to \( r_{2} \) when temperatures of the end are maintained at \( T_{1} \) and \( T_{2} \). Thermal conductivity of the material of the rod is \( K .\left(T_{1}T_{2}\right) \)
(a) \( \frac{T_{1}+T_{2}}{l} \cdot \pi k\left(r_{1} r_{2}\right) \)
(b) \( \frac{T_{2}+T_{1}}{2 l} \cdot \pi k\left(r_{1}+r_{2}\right) \)
(c) \( \frac{T_{1}-T_{2}}{l} \cdot \pi k\left(r_{1} \cdot r_{2}\right) \)
(d) \( \frac{T_{2}+T_{1}}{l} \cdot \pi k \sqrt{r_{1} r_{2}} \)
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