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Two ends of a conducting rod of varying cross-sections are maintained at 200 ºC and 0 ºC respectively. In steady state –

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Temperature difference across AB and CD are equal

Temperature difference across AB is greater than that of across CD

Temperature difference across AB is less than that of across CD

Temperature difference may be equal or different depending on the thermal conductivity of the rod

answer is C.

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Detailed Solution

In steady state, $\frac{d Q}{d t} = K A \frac{d θ}{d x}$

Heat flow rate is constant

The greater the area, the lesser is the temperature gradient at that point, and vice versa.

area at AB > area at CD.

Hence temperature gradient at AB < temperature gradient at CD.

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