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Two thin metallic spherical shells of ra...

Two thin metallic spherical shells of radii `r_(1) and r_(2) (r_(1)lt r_(2))` are placed with their centres coinciding. A material of thermal conductivity K is filled in the space between the shells. The inner shells. Is maintained at temperature `theta_(1)` .and the outer shell at temperature `theta_(2) (theta_(1)lttheta_(2))`. Calculate the rate at which heat flows radially through the material.

A

`(K(theta_(2)-theta_(1)))/(r_(2)-r_(1))`

B

`(K(theta_(2)-theta_(1))(r_(2)-r_(1)))/(4pir_(1)r_(2))`

C

`(4pi K r_(1)r_(2)(theta_(2)-theta_(1)))/(r_(2)-r_(1))`

D

`(pir_(1)r_(2)(theta_(2)-theta_(1)))/(r_(2)-r_(1))`

Text Solution

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The correct Answer is:
C
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