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## 11. A tight etc string has a frequency that 540 Hz together its third harmonic. What will certainly be its an essential frequency if it is fingered in ~ a len

11. A tight etc string has a frequency the 540 Hz as its third harmonic. What will certainly be its fundamental frequency if that is fingered at a length of only 70% of its initial length

The frequency is

Explanation:

From the question we space told that

The 3rd harmonic frequency the the tight etc string is

Let the original size be l

then the size at which it is fingered is 0.7 L

Generally the an essential is mathematically represented as

Now when it finger in ~ 70% the original length is

Here v the velocity the sound

therefore

Also the basic frequency for the original size can also be stood for as

substituting worths

So

=>

=>

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