To find out degree of freedom, the correct expression is:

Options

A. `f = (2)/(gamma - 1)`
B. `f = (gamma + 1)/(2)`
C. `f = (2)/(gamma + 1)`
D. `f = (1)/(gamma + 1)`

Explanation

To find the degree of freedom (F) using the expression related to the ratio of specific heats (γ), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship**: We start with the known relationship between the ratio of specific heats (γ) and the degree of freedom (F):
\[ \gamma = 1 + \frac{2}{F} \]

2. **Rearrange the equation**: To express F in terms of γ, we can rearrange the equation:
\[ \gamma - 1 = \frac{2}{F} \]

3. **Cross-multiply to isolate F**: By cross-multiplying, we can isolate F:
\[ F(\gamma - 1) = 2 \]

4. **Solve for F**: Now, we can solve for F:
\[ F = \frac{2}{\gamma - 1} \]

5. **Conclusion**: Thus, the correct expression to find the degree of freedom (F) is:
\[ F = \frac{2}{\gamma - 1} \]

### Final Answer:
The correct expression for the degree of freedom is \( F = \frac{2}{\gamma - 1} \).