Fig. shows a system of two concentric spheres of radii r₁and r₂ kept at temperatures T₁ and T₂ respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

Question

Infinity Learn · Accepted Answer

We know that  $$Q=$$−KAdTdror     $$Q=$$−$$K4$$$$π$$$$r2dTdr$$ ∵$$A=4$$$$π$$$$r2$$        ∴ $$drr2=$$−$$4$$$$π$$KQdTIntegrating this expression within proper limits, we get           ∫$$r1I2$$ $$drr2=$$−$$4$$$$π$$KQ∫$$T1T2$$ dTor     $$1r1$$−$$1r2=4$$$$π$$$$KQT1$$−$$T2r2$$−$$r1r1r2=4$$$$π$$$$KQT1$$−$$T2or$$   $$Q=4$$$$π$$$$KT1$$−$$T2r1r2r2$$−$$r1$$∝$$r1r2r2$$−$$r1$$.

Fig. shows a system of two concentric spheres of radii r₁and r₂ kept at temperatures T₁ and T₂ respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

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Fig. shows a system of two concentric spheres of radii r1 and r2 kept at temperatures T1 and T2 respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to

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Fig. shows a system of two concentric spheres of radii r₁and r₂ kept at temperatures T₁ and T₂ respectively. The radial rate of flow of heat in a substance between the two concentric spheres is proportional to