A stretched sonometer wire is in unison with a uning fork. When the length is increased by 2% the number of beats per second is 5. Find the frequency of the forks.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the relationship between frequency and length
The fundamental frequency \( f \) of a stretched string is given by the formula:
\[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \]
where \( L \) is the length of the string, \( T \) is the tension, and \( \mu \) is the linear mass density of the string. For a constant tension and mass density, frequency is inversely proportional to the length of the string.
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