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Q.

Two ends of a conducting rod of varying cross section are maintained at 200ºC and 0ºC respectively.  In the steady state,
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a

temperature difference across AB is less than that across CD.

b

temperature difference across AB is greater than that across CD.

c

temperature difference across AB and CD are equal.

d

temperature difference may be equal (or) different depending on the thermal conductivity of the rod

answer is C.

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Detailed Solution

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Qt=KAθl=θRθ=(R)(H)
Temperature difference  thermal resistance 
(θ1θ2)1A
Area of cross – section CD is less than that of AB, hence temperature differences more across CD.

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Two ends of a conducting rod of varying cross section are maintained at 200ºC and 0ºC respectively.  In the steady state,