A bridge is placed under the string of a sonometer at a point near the middle when the two are plucked simultaneously 3 beats per second are produced with a stretching load of 4kg. Find the number of beats per second when the load is increased to 16kg.

Explanation

To solve the problem, we need to find the number of beats per second produced when the load on the string is increased from 4 kg to 16 kg. We will use the relationship between the tension in the string and the frequency of the sound produced.

### Step 1: Understand the relationship between frequency and tension
The fundamental frequency \( f \) of a vibrating string is given by the formula:
\[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \]
where:
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