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Two ends of a conducting rod of varying ...

Two ends of a conducting rod of varying cross-section are maintained at `200^(@)Cand0^(@)C` respectively. In steady state :

A

temperature differences across AB and CD are equal

B

temperature difference across AB is greater than that across CD

C

temperature difference across AB is less than that across CD

D

temperature difference may be equal or different depending upon thermal conductivity of the rod.

Text Solution

Verified by Experts

The correct Answer is:
C
Rate of flow of heat `(dQ)/(dt)` or H is equal throughout the rod,
Temperature difference is given by
`DeltaT` = (H) (Thermal Resistance)
or `DeltaTprop` Thermal Resistance R
where `R=1/(KA)orRprop1/A`
Area across CD is less. Therefore, `DeltaT` across CD will be more.
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