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A metallic ro...

Question

A metallic rod is connected between two bodies at temperature $T_{h}$ and $T_{c} (T_{h} > T_{c})$ . $P, Q$ and $R$ are the points on the metallic rod along the length (point $P$ being closer to body at temperature $T_{h}$ ) where temperature readings are noted as $T_{1}, T_{2}$ and $T_{3}$ respectively when the rod has reached steady state. Find the correct option.

A

T_{1} > T_{2} < T_{3}

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B

T_{1} > T_{2} > T_{3}

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C

T_{1} < T_{2} < T_{3}

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D

T_{1} < T_{2} > T_{3}

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Solution

The correct option is B $T_{1} > T_{2} > T_{3}$

As $x$ increases, temperature decreases due to energy transfer from hot body to cold body.
Since, $P$ is closer to hot body, $T_{1}$ is greater than $T_{2}$ and $T_{3}$ and $R$ being closer to cold body, so $T_{3}$ is less than $T_{2}$ and $T_{1}$ .
$∴$ We can conclude that $T_{1} > T_{2} > T_{3}$

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