A tuning fork produces 4 beats per second when sounded togetehr with a fork of frequency 364 Hz. When the first fork is loaded with a little wax ten the number of beats becomes two per second. What is the frequency of the first fork?

Explanation

To solve the problem, we need to determine the frequency of the first tuning fork (let's call it \( f_1 \)) based on the information provided about the beats produced with a second fork of known frequency \( f_2 = 364 \) Hz.

### Step-by-Step Solution:

1. **Understanding Beat Frequency**:
The beat frequency is given by the absolute difference between the frequencies of two tuning forks. Mathematically, it can be expressed as:
\[
f_{\text{beat}} = |f_1 - f_2|
...