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MHT CET · Physics · Thermodynamics

The relation between efficiency \((\eta)\) of Carnot engine and coefficient of performance ( \(\eta_1\) ) of refrigerator is

  1. A \(\eta=\frac{1}{1+\eta_1}\)
  2. B \(\eta=\frac{1}{1-\eta_1}\)
  3. C \(\eta=\frac{\eta_1}{1-\eta_1}\)
  4. D \(\eta=\frac{1+\eta_1}{\eta_1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\eta=\frac{1}{1+\eta_1}\)

Step-by-step Solution

Detailed explanation

\(\eta_1 = \frac{Q_C}{Q_H - Q_C}\) \(\eta_1 = \frac{Q_C/Q_H}{1 - Q_C/Q_H}\)
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