Match the following ( $f$ is number of degrees of freedom)

Match the following ( $f$ is number of degrees of freedom)
  1. A-III, B-IV, C-I, D-II
  2. A-II, B-I, C-III, D-IV
  3. A-IV, B-III, C-I, D-II
  4. A-II, B-III, C-IV, D-I

Solution

$\gamma=\frac{C_P}{C_V}=\left(1+\frac{2}{f}\right)$
Mono atomic $(\mathrm{f}=3), \gamma=\left(1+\frac{2}{3}\right)=\frac{5}{3}$
Diatomic-rigid $(f=5), \gamma=\left(1+\frac{2}{5}\right)=\frac{7}{5}$
Diatomic-non-rigid $(\mathrm{f}=7), \gamma=\left(1+\frac{2}{7}\right)=\frac{9}{7}$
Polyatomic, $\gamma=\frac{4+\mathrm{f}}{3+\mathrm{f}}$

Asked in: AP EAMCET 2024 (21 May Shift 2)

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