A hollow metallic sphere of radius 20cm surrounds a concentric metallic sphere of radius 5cm. The space between the two spheres is filled with a nonmetallic material. The inner and outer spheres are maintained at $50^{0} C a n d 10^{0} C$ respectively and it is found that 100J of heat passes from the inner sphere to the outer sphere per second. Find the thermal conductivity of the material between the spheres

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answer is 3.

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Detailed Solution

$\frac{Q}{t} = \frac{(T_{2} - T_{1})}{R} \frac{Q}{t} = \frac{4 π k (T_{2} - T_{1})}{\frac{1}{r_{1}} - \frac{1}{r_{2}}}$

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