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JEE Mains · Physics · STD 11 - Kinetic theory of gases
  • JEE Mains 2023
  • Medium
  • MCQ

Let \(\gamma_1\) be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and \(\gamma_2\) be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, \(\frac{\gamma_1}{\gamma_2}\) is

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Answer & Solution

Correct Answer

(C) \(\frac{25}{21}\)

Step-by-step Solution

Detailed explanation

For monoatomic gas

\(\gamma_1=\frac{5}{3}\)

For diatomic gas at low temperatures

\(\gamma _2=\frac{7}{5}\)

\(\therefore \frac{\gamma_1}{\gamma_2}=\frac{\frac{5}{3}}{\frac{7}{5}}=\frac{25}{21}\)

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