The fundamental frequency of a sonometer wire increases by ` 6 Hz` if its tension is increased by ` 44 %` , keeping the length constant . Find the change in the fundamental frequency of the sonometer wire when the length of the wire is increased by `20 %` , keeping the original tension in the wire constant.

Explanation

To solve the problem step by step, we will use the principles of frequency, tension, and length of a sonometer wire.

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