A tunning fork of unknown frequency gives 4 beats per second when sounded with a fork of frequency 320 Hz. When loaded with little wax, it gives 3beats per second. Find the unknown frequency. [

Explanation

To find the unknown frequency of the tuning fork, we can follow these steps:

### Step 1: Understand the Beat Frequency
The beat frequency is the absolute difference between the frequencies of two tuning forks. In this case, we have one tuning fork with a known frequency of 320 Hz and an unknown frequency \( F_1 \).

### Step 2: Set Up the Equations
When the unknown tuning fork is sounded with the 320 Hz fork, it produces 4 beats per second. This can be expressed as:
\[
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