Q.
A point source of heat of power P is placed at the centre of a spherical shell of mean radius R. The material of the shell has thermal conductivity K. If the temperature difference between the outer and the inner surface of the shell is not to exceed T, then the thickness of the shell should not be less than
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a
2πR2KTP
b
4πR2KTP
c
πR2KTP
d
πR2KT4P
answer is B.
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Detailed Solution
Rate of flow of heat or power P=KAΔθΔx=K4πR2TΔxThickness of shell is 4πR2KTP
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