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A tapering rod of length L has cross sec...

A tapering rod of length L has cross sectional radii of a and `b(lt a)` at its two ends. Its thermal conductivity is k. The end with radius a is maintained at a higher temperature `T_(1)` and the other end is maintained at a lower temperature `T_(2)`. The curved surface is insulated.
(i) At which of the two points` – 1` and `2 –` shown in the figure will the temperature gradient be higher?
(ii) Calculate the thermal resistance of the rod.

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The correct Answer is:
(a) At point 2 (ii) `(L)/(kpiab)`
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