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11. A tight etc string has a frequency the 540 Hz together its 3rd harmonic. What will certainly be its an essential frequency if it is fingered at a len

11. A tight etc string has a frequency the 540 Hz together its 3rd harmonic. What will be its fundamental frequency if it is fingered at a length of only 70% of its original length

The frequency is

Explanation:

From the concern we are told the

The 3rd harmonic frequency that the tight guitar string is

Let the original length be l

climate the size at which it is fingered is 0.7 L

Generally the fundamental is mathematically stood for as

Now once it finger in ~ 70% that original length is

Here v the velocity that sound

so

Also the fundamental frequency because that the original length can additionally be represented as

substituting worths

So

=>

=>

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