question_answer

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 figures?     AIEEE  Solved  Paper-2009

A)

B)

C)

D)

Correct Answer: B

Solution :

\[\frac{{{T}_{1}}-{{T}_{2}}}{\frac{L}{KA}}=\frac{{{T}_{1}}-{{T}_{x}}}{\frac{x}{KA}}\] \[\Rightarrow \]\[{{T}_{x}}={{T}_{1}}-\left( \frac{{{T}_{1}}-{{T}_{2}}}{L} \right)x\]