AP EAMCET · PHYSICS · Thermodynamics
The ratio of the efficiencies of two Carnot engines A and B is 1.25 and the temperature difference between the source and the sink is same in both the engines. The ratio of the absolute temperature of the sources of the engines \(A\) and \(B\) is
- A \(2: 3\)
- B \(2: 5\)
- C \(3: 4\)
- D \(4: 5\)
Answer & Solution
Correct Answer
(D) \(4: 5\)
Step-by-step Solution
Detailed explanation
\( \eta = \frac{T_H - T_C}{T_H} = \frac{\Delta T}{T_H} \) \( \frac{\eta_A}{\eta_B} = \frac{\frac{\Delta T}{T_{H_A}}}{\frac{\Delta T}{T_{H_B}}} = \frac{T_{H_B}}{T_{H_A}} \) \( \frac{T_{H_B}}{T_{H_A}} = 1.25 = \frac{5}{4} \) \( \frac{T_{H_A}}{T_{H_B}} = \frac{4}{5} \)
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