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Question: Answered & Verified by Expert

The temperature θ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top and bottom temperatures θ1 and θ2 (as shown in figure) is given by :

PhysicsThermal Properties of MatterJEE MainJEE Main 2021 (26 Feb Shift 1)
Options:
  • A θ1R2-θ2R1R2-R1
  • B θ2R2-θ1R1R2-R1
  • C θ1R2+θ2R1R1+R2
  • D θ1R1+θ2R2R1+R2
Solution:
1256 Upvotes Verified Answer
The correct answer is: θ1R2+θ2R1R1+R2

Heat flow rate will be same through both

 θ1-θR1=θ-θ2R2

R2θ1-R2θ=R1θ-R1θ2

θ=R2θ1+R1θ2R1+R2

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