A stationary observer receives sonic oscillations from two tuning forks one of which approaches and the other recedes with the same velocity. As this takes place, the observer hears the beats of frequency `f = 2.0 H_(Z)`. Find the velocity of each tuning fork if their oscillation frequency is `f_(o) = 680 H_(Z)` and the velocity of sound in air is `upsilon = 340 m//s`.

Explanation

To solve the problem, we will use the principles of the Doppler effect and the concept of beats. Here are the steps:

### Step 1: Understand the Problem
We have two tuning forks, one approaching and one receding from a stationary observer. The frequency of the tuning forks is \( f_0 = 680 \, \text{Hz} \), and the observer hears beats with a frequency of \( f = 2 \, \text{Hz} \). The speed of sound in air is \( v = 340 \, \text{m/s} \). We need to find the velocity \( v_s \) of each tuning fork.

### Step 2: Apply the Doppler Effect
The frequency observed from the tuning fork approaching the observer (source 1) is given by:
\[
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