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JEE Main201912 Apr 2019Evening ShiftPhysicsThermodynamicsActual

A Carnot engine has an efficiency of 1 6 . When the temperature of the sink is reduced by 62 ℃ , its efficiency is doubled. The temperatures of the source and the sink are, respectively,

Options

  1. A124 ℃ , 62 ℃
  2. B37 ℃ , 99 ℃
  3. C99 ℃ , 37 ℃
  4. D62 ℃ , 124 ℃

Correct answer

B. 37 ℃ , 99 ℃

Step-by-step solution

η = 1 - T s i n k T s o u r c e 1 6 = 1 - T 1 T 2 ….(1) 1 3 = 1 - T 1 - 62 T 2 ….(2) From equation (1) and (2) T 2 = 372 K o r 99 ℃ And T 1 = 310 K o r 37 ℃

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