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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoConductionEasy2 minai-gemini

PhysicsEasysingle choice

A metal rod of length $L$ and uniform cross-sectional area $A$ has a thermal conductivity $K$ . If one end is maintained at temperature $T_{1}$ and the other at $T_{2}$ ( $T_{1} > T_{2}$ ), what is the rate of heat flow through the rod?

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Answer:

Solution:

The rate of heat flow ( $Q / t$ ) through a conductor is given by Fourier's Law of Heat Conduction. $\frac{Q}{t} = - K A \frac{d T}{d x}$ For a uniform rod with steady state, $\frac{d T}{d x} = \frac{T _{2} - T _{1}}{L} = - \frac{T _{1} - T _{2}}{L}$ . Thus, the rate of heat flow is $\frac{Q}{t} = K A \frac{T _{1} - T _{2}}{L}$ .

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:Conduction

⏱ 2mℹ️ Source: ai-gemini

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