A Carnot engine has an efficiency of 1 6 . When the temperature of the sink is reduced by 62   ℃ …

A Carnot engine has an efficiency of 16. When the temperature of the sink is reduced by 62  , its efficiency is doubled. The temperatures of the source and the sink are, respectively,
  1. 124 ,62  
  2. 37 , 99 
  3. 99 , 37 
  4. 62 ,124 

Solution

η=1-TsinkTsource
16=1-T1T2 ….(1)
13=1-T1-62T2 ….(2)
From equation (1) and (2)
T2=372 K or 99 
And T1=310 K or 37 

Asked in: JEE Main 2019 (12 Apr Shift 2)

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