Two thin metallic spherical shells of radii 
and 
, respectively are placed with their centers coinciding. A material of thermal conductivity 
is filled in the space between the shells. The inner shell is maintained at 
and the outer shell at 
. If the rate at which heat flows radially through the material is 
, find the value of 
(in units of 
).
Text Solution
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Given, radius of two thin metallic spherical shells,
Temperature of inner shell, 
,
Temperature of outer shell, 
,
Rate of heat flow, 
.
Consider a shell of thickness 
, rate of heat flow through shell will be
Integrating both sides,
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