A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ along the length x of the bar from its hot end is best described by which of the following figures? (a) (b) (c) (d)

Answer: (a). In steady state with no side loss, H = -KA(dθ)/(dx) is the same at every section. So (dθ)/(dx) is constant: θ falls linearly with x. So the answer is (a), a straight line sloping down.

A long metallic bar is carrying heat from one of its ends to the… | JEE Main 2009 (AIEEE)

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Heat Conduction

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?

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Answer: (a)

In steady state with no side loss, $H = -KA\frac{d\theta}{dx}$ is the same at every section.
So $\frac{d\theta}{dx}$ is constant: $\theta$ falls linearly with $x$ .
So the answer is (a), a straight line sloping down.

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Heat Conduction question from JEE Main 2009 (AIEEE)

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