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A long metallic bar is carrying heat fro...

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature `theta` along the length x of the bar from its hot end is best described by which of the following figure.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B

Let us assume that `theta ` is the temperature at a distance x from left side of the rod. So rate of flow of heat through the rod would be

`((T_1 -theta)/(x) ) = ( (theta - T_2)/(L - x) )`
` theta = ( (T_2 - T_1)/(L) ) x + T_1`
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