If `f_(1) and f_(2)` be the fundamental frequencies of the two segments into which a stretched string is divided by means of a bridge , then find the original fundamental frequency `f` of the complete string.

Explanation

To find the original fundamental frequency \( f \) of the complete string when it is divided into two segments with fundamental frequencies \( f_1 \) and \( f_2 \), we can follow these steps:

### Step 1: Understand the relationship between frequency and length
The fundamental frequency \( f \) of a stretched string is inversely proportional to its length. This means that:
\[ f \propto \frac{1}{L} \]
where \( L \) is the length of the string.
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