JEE Physics · Hard

Kinetic Theory and Thermodynamics: Thermodynamics Advanced MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Thermodynamics AdvancedHardQuestion 31082

Question

In a Carnot refrigerator operating in reverse, COP is related to Carnot engine efficiency by:
  1. A
    COP = η
  2. B
    COP = η/(1−η)
  3. C
    COP = (1−η)/η
    Correct
  4. D
    COP = 1/η

Correct answer

COP = (1−η)/η

Explanation

η = 1 − T₂/T₁ and COP = T₂/(T₁−T₂). So COP = (T₂/T₁)/(1−T₂/T₁) = (1−η)/η.