A heat engine has an efficiency of 1 6 . When the temperature of sink is reduced by 62 ° C , its…

A heat engine has an efficiency of 16. When the temperature of sink is reduced by 62°C, its efficiency get doubled. The temperature of the source is :
  1. 124°C
  2. 37°C
  3. 62°C
  4. 99°C

Solution

η=1-TLTH ......(i)

2η=1-TL-62TH=1-TLTH+62 TH

⇒η=62 TH⇒16=62 TH⇒TH=6×62=372 K

In C∘⇒372-273=99°C

Asked in: JEE Main 2021 (25 Jul Shift 2)

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