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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoHeat TransferMedium2 min

PhysicsMediuminteger

Two cylindrical rods have lengths in the ratio $l_{1} : l_{2} = 3 : 1$ and radii in the ratio $r_{1} : r_{2} = 1 : 3$ , with the same temperature difference between their ends. Find $\frac{k _{1}}{k _{2}}$ if the rates of heat flow are equal.

Answer:

Solution:

Rate $\propto \frac{k r ^{2}}{l}$ . $\frac{k _{1}}{k _{2}} = \frac{l _{1}}{l _{2}} \times \frac{r _{2}^{2}}{r _{1}^{2}} = 3 \times 9 = 27$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Heat Transfer

⏱ 2m

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