1. Tardigrade
  2. Question
  3. Physics
  4. A conductor of length L is placed along the x-axis, with one of its ends at x=0 and the other at x=L . If the rate of flow of heat energy through the conductor is constant and its thermal resistance per unit length is also constant, then which of the following graphs is/are correct?

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Q. A conductor of length $ \, L$ is placed along the x-axis, with one of its ends at $x=0$ and the other at $x=L$ . If the rate of flow of heat energy through the conductor is constant and its thermal resistance per unit length is also constant, then which of the following graphs is/are correct?

NTA AbhyasNTA Abhyas 2022

Solution:

We know that heat is flowing $\frac{d Q}{d t}=-\frac{K A \left(T - T_{0}\right)}{x}$
$T=-\left(\frac{d Q}{d t}\right)\frac{x}{K A}+T_{0}$
Therefore the graph of the negative slope but positive intercept