gen-define-beat-frequency-and-give-one-short-worked-example-d1ed

Define beat frequency and give one short worked example.

## Beat Frequency **Definition:** Beat frequency is the periodic variation in amplitude that occurs when two waves of slightly different frequencies interfere with each other. It equals the absolute difference between the two frequencies. **Formula:** $$f_{\text{beat}} = |f_1 - f_2|$$ where $f_1$ and $f_2$ are the frequencies of the two interfering waves. --- ## Worked Example Two tuning forks are struck simultaneously. One has a frequency of 256 Hz and the other has a frequency of 260 Hz. What is the beat frequency heard? **Solution:** $$f_{\text{beat}} = |f_1 - f_2| = |256 - 260| = 4 \text{ Hz}$$ **Answer:** A listener will hear 4 beats per second (the sound gets louder and softer 4 times each second).