Two thin metallic spherical shells of radii r 1 and r 2 r 1 < r 2 are placed with their centres…

Two thin metallic spherical shells of radii r1 and r2r1<r2 are placed with their centres coinciding. A material of thermal conductivity K is filled in the space between the shells. The inner shell is maintained at temperature θ1 and the outer shell at temperature θ2θ1<θ2. The rate at which heat flows radially through the material is :
  1. Kθ2-θ1r2-r1
  2. Kθ2-θ1r2-r14πr1r2
  3. πKr1r2θ2-θ1r2-r1
  4. 4πKr1r2θ2-θ1r2-r1

Solution


Equivalent resistance (R)=r2-r1 K4πr2r1
Thus, Heat flow =4πKr1r2θ2-θ1r2-r1

Asked in: JEE Main 2021 (31 Aug Shift 2)

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