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A small sphere (emissivity=0.9, radius =...

A small sphere (emissivity`=0.9, radius =r_(1)`) is located at the centre of a spherical asbestos shell (thickness`=5.0` cm , outer radius `=r_(2)`) The thickness of the shell is small compared to the inner and outer radii of the shell. The temperature of the small sphere is 800 K while the temperature of the inner surface of the shell is 600 K The temperature of small sphere is maintained constant. Assuming that `r_(2)/r_(1)=10.0` and ignoring any air inside the shell, find the temperature (in k) of the outer surface of the shell Take : `K_(asbestor)=0.085 W//m^(@)` C `sigma = 17/3 xx10^(-8) W//m^(2)k^(4)`

A

`642.9^(@)C`

B

`557.7^(@)C`

C

`689.3^(@)C`

D

`519.4^(@)C`

Text Solution

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The correct Answer is:
B
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