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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?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

best_answer

As we have learned @2078 

Heat Flow rate is given by 

 \frac{d\theta }{dt} = \frac{KA(\theta _1-\theta )}{x}\Rightarrow \theta _1 - \theta = \frac{x }{KA}\cdot \frac{d\theta }{dt}

or \theta = \theta _1 - \frac{x }{KA}\cdot \left ( \frac{d\theta }{dt} \right )

\theta _1 =  temprature of hot end 

and 

\theta = temprature at distance x from hot end 

\theta \rightarrow x  is a straight line with -ve slope 

 

 

 


Option 1)

Option 2)

Option 3)

Option 4)

Posted by

SudhirSol

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