If `v_1 and v_2` are the frequencies of two turning forks, then beat frequency is

Options

A. `(v_1)/(v_2)`
B. `v_1 + v_2`
C. `(v_2)/(v_1)`
D. `v_1 - v_2`

Explanation

To find the beat frequency when two tuning forks with frequencies \( v_1 \) and \( v_2 \) are struck, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Beat Frequency**:
The beat frequency is the result of the interference of two waves with slightly different frequencies. It is perceived as a fluctuation in sound intensity.

2. **Formula for Beat Frequency**:
The formula for calculating the beat frequency \( f_{\text{beat}} \) is given by:
\[ f_{\text{beat}} = |v_1 - v_2| \]
Here, \( v_1 \) and \( v_2 \) are the frequencies of the two tuning forks.

3. **Applying the Formula**:
To find the beat frequency, we take the absolute difference between the two frequencies. This ensures that the result is always a positive value, as frequency cannot be negative.

4. **Conclusion**:
Therefore, the beat frequency is:
\[ f_{\text{beat}} = |v_1 - v_2| \]

### Final Answer:
The beat frequency is \( |v_1 - v_2| \).

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