Q12 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

The relation between efficiency η of a heat engine and the co-efficient of performance α of a refrigerator is

  • A
    η=11-α
  • Correct answer
    B
    η=11+α
  • C
    η=1+α
  • D
    η=1-α

Solution

η=dwdQ but α=dQ2dw=Q2Q1-Q2⇒ 1α=Q1Q2-1 ⇒1α+1=Q1Q2⇒ α+1α=Q1Q2⇒Q2Q1=αα+1 

η=Q1-Q2Q1=1-Q2Q1=1-α1+α=1+α-α1+α

η=11+α

Hence, the correct answer is option: 'B'.

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