NEET2013Physics-Thermodynamics

NEET 2013 Physics Carnot Engine MCQ Question

Type: MCQ-conceptual-Hard-Class 11

Two Carnot engines A and B are operated in series. The engine A receives heat from the source at temperature T₁ and rejects 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?

A

T₁ - T₂/2

B

T₁T₂

C

√T₁T₂

D

T₁ + T₂

Correct Answer

Option C

Detailed Explanation

For equal efficiencies, η₁ = η₂, which leads to the condition T = √(T₁T₂) using the efficiency formula η =¹⁻ T_sink/T_source.

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