Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.…

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Efficiency of a reversible heat engine will be highest at –273 °C temperature of cold reservoir.

Reason R : The efficiency of Carnot’s engine depends not only on temperature of cold reservoir but it depends on the temperature of hot reservoir too and is given as η=1-T2T1

In the light of the above statements, choose the correct answer from the options given below :

  1. A is true but R is false
  2. Both A and R are true but R is NOT the correct explanation of A
  3. A is false but R is true
  4. Both A and R are true and R is the correct explanation of A

Solution

As we know, η=1-TsinkTsourcemaximum value of η=1⇒1=1-TsinkTsource⇒Tsink=0 K=273 °C

Therefore, both A and R are true and R is the correct explanation of A.

Asked in: JEE Main 2023 (30 Jan Shift 2)

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