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

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$\frac{r_{1} r_{2}}{(r_{2} - r_{1})}$

$\frac{r_{2} - r_{1}}{r_{1} r_{2}}$

In $\frac{r_{2}}{r_{1}}$

$r_{2} - r_{1}$

answer is A.

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Detailed Solution

$R a d i a l h e a t f l o w r a t e \infty \frac{1}{R_{T}} w h e r e R_{T} = T h e r m a l r e s i s \tan c e o f t h e m a t e r i a l b e t w e e n t h e s p h e r e s .$

Now $R_{T} = \frac{r_{2} - r_{1}}{4 πk r_{1} r_{2}}$

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