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JEE PHYSICS MCQ: THERMODYNAMICS

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Analyzing +4 | -1
Two Carnot engines A and B are operated in series. The engine AA receives heat from the source at temperature T1T_1 and rejects the heat to the sink at temperature T\mathrm{T}. The second engine BB receives the heat at temperature TT and rejects to its sink at temperature T2T_2. For what value of TT the efficiencies of the two engines are equal?
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Correct option: D
T1T2\sqrt{T_1 T_2}
Option D (T1T2\sqrt{T_1 T_2}) is correct. Equating the efficiencies of the two Carnot engines and solving for T gives the geometric mean of T1 and T2.

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