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A metallic sphere having inner and outer radii ‘a’ and ‘b’ respectively has thermal conductivity $K = K_{0} / r^{2} (a \leq r \leq b)$ where $K_{0}$ is a constant. The thermal resistance between inner and outer surface is

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b−a4πK0

b2−ah4πK0ab

4πK0b−a

None of these

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detailed solution

Correct option is A

dRt = drk.A=drk0r2 . 4πr2=dr4πk0∴ Rt= ∫abdr4πk0= b−a4πk0.

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A metallic sphere having inner and outer radii ‘a’ and ‘b’ respectively has thermal conductivity K=K0/r2a ≤ r≤bwhere K0 is a constant. The thermal resistance between inner and outer surface is

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A metallic sphere having inner and outer radii ‘a’ and ‘b’ respectively has thermal conductivity $K = K_{0} / r^{2} (a \leq r \leq b)$ where $K_{0}$ is a constant. The thermal resistance between inner and outer surface is