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  1. Two Carnot engines A and B are operated in series. The engine A receives heat from the source at temperature T1 and rejects the heat to the sink at temperature T. The second engine B receives the heat at temperature T and rejects to its sink at temperature T2. For what value of T the efficiencies of the two engines are equal?
    1. T1 + T2
      2
    2. T1 - T2
      2
    3. T1 T2
    4. T1 T2
Correct Option: D

Efficiency of engine A, η1 = 1 -
T
T1

Efficiency of engine B , η2 = 1 -
T2
T

Here, η1 = η2
T
=
T2
⇒ T = √T1 T2
T1T



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