Two tuning forks `A and B` produce ` 4 beats//s` when sounded together . `A` resonates to `32.4 cm` of stretched wire and `B` is in resonance with `32 cm` of the same wire . Determine the frequencies of the two tuning forks .

Explanation

To solve the problem, we need to determine the frequencies of two tuning forks A and B based on the information provided about their resonance lengths and the number of beats produced when they are sounded together.

### Step-by-Step Solution:

1. **Understanding the Relationship Between Frequency and Length**:
The frequency of a tuning fork is inversely proportional to the length of the wire it resonates with. This means:
\[
f \propto \frac{1}{L}
...