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NEET 1995 (AIPMT) · Heat Conduction

Heat Conduction question from NEET 1995 (AIPMT)

Q55NEET 1995 · AIPMTMedium

Heat Conduction

Heat is flowing through two cylindrical rods of the same material. The diameters of the rods are in the ratio $1 : 2$ and the lengths in the ratio $2 : 1$ . If the temperature difference between the ends is same, then ratio of the rate of flow of heat through them will be

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Answer: (d)

$H \propto \frac{A}{L} \propto \frac{d^2}{L}$ (same material and $\Delta T$ ).
$\frac{H_1}{H_2} = \left(\frac{1}{2}\right)^2 \times \frac{1}{2} = \frac{1}{8}$
So the answer is (d) $1:8$ .

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