A stationary observer receives sound waves from two tuning forks, one of which approaches and the other recedes with the same velocity. As this takes place, the observer hears beats of frequency `upsilon=2Hz`. Find the velocity of each tuning fork if their oscillation frequency is `upsilon_0=680Hz` and the velocity of sound in air is `upsilon_s=340(m)/(s)`.

Explanation

To solve the problem, we will use the concept of beats and the Doppler effect. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Problem
We have two tuning forks, one approaching the observer and the other receding from the observer. The observer hears beats, which is the difference in frequency between the two sound waves. The beat frequency is given as \( \nu = 2 \, \text{Hz} \), and the natural frequency of the tuning forks is \( \nu_0 = 680 \, \text{Hz} \).

### Step 2: Apply the Doppler Effect
The apparent frequency heard by the observer when the tuning fork is approaching is given by:
\[
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