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Two Carnot engine A and B are operated in series. The engine A receives that 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?
Options
(a) T₁ + T₂ / 2
(b) T₁ – T₂ / 2
(c) T₁ T₂
(d) √(T₁ T₂)
Correct Answer:
√(T₁ T₂)
Explanation:
Efficiency of engine A, ?¬ツチ = 1 – T / T₁,
Efficiency of engine B, ?¬ツツ = 1 – T₂ / T,
Here, ?¬ツチ = ?¬ツツ
T / T₁ = T₂ / T ⇒ T = √T₁T₂
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Topics: Thermodynamics
(179)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A current I flows along the length of an infinitely long, straight, thin walled pipe.
- The resistances of the four arms P,Q,R and S in a Wheatstone’s bridge
- In Young’s double slit experiment, the locus of the point P lying in a plane
- As per Bohr model, the minimum energy (in eV) required to remove an electron
- Hard X-rays for the study of fractures in bones should have a minimum wavelength
Topics: Thermodynamics (179)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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