Verified Solution • 2025–26 Session moderate

QNEET-2013-Ph-1588: NEET 2013 Physics - Class 11 NEET-2013-Ph-1588 Solution: Two Carnot engines A and B are operated in series. The engine A …

Two Carnot engines A and B are operated in series. The engine A receives heat from the source at temperature T1T_1 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 T2T_2. For what values of T the efficiencies of the two engines are equal T1+T22\frac{T_1+T_2}{2} T1−T22\frac{T_1-T_2}{2} T1T2\sqrt{T_1T_2} T1T2\frac{T_1}{T_2}

Multiple Choice Options

  • A T1−T22{{{T_1} - {T_2}} \over 2} 2 T 1 _ _ T 2 _ _
  • B T1T2{T_1}{T_2} T 1 _ T 2 _
  • C T1T2\sqrt {{T_1}{T_2}} T 1 _ T 2 _ _
  • D T1+T22{{{T_1} + {T_2}} \over 2} 2 T 1 _ + T 2 _ _

Step-by-Step Verified Solution

Efficiency of engine A, _ 1 = 1 _ T T 1 Efficiency of engine B, _ 2 = 1 _ T 2 T Here, _ 1 = _ 2 _ T T 1 = T 2 T _ T = T 1 T 2

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