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MHT CET Medical202623 April 2026Morning ShiftPhysicsThermodynamicsActual

Carnot engine has an efficiency of 1 7 . When the temperature of the sink is reduced by 60 K, its efficiency is doubled. The temperature of the source is

Options

  1. A47^ C
  2. B147^ C
  3. C43^ C
  4. D143^ C

Correct answer

B. 147^ C

Step-by-step solution

The efficiency of a Carnot engine is given by = 1 - T₂ T₁ Given = 1 7 1 7 = 1 - T₂ T₁ T₂ T₁ = 6 7 When the sink temperature is reduced by 60 K, the efficiency is doubled: 2 7 = 1 - T₂ - 60 T₁ T₂ - 60 T₁ = 5 7 Subtracting the second equation from the first: T₂ T₁ - T₂ - 60 T₁ = 6 7 - 5 7 60 T₁ = 1 7 T₁ = 420 K Converting to Celsius: T₁ = 420 - 273 = 147^ C Answer: 147^ C

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