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One harmonic of a note produced by a flute has a wavelength L and an

associated frequency f. If the wavelength of another harmonic of this

note is 2L. What is the associated frequency?

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harnoorsandhu333

Answer:

Explanation:

To find the associated frequency \( f \) when the wavelength of another harmonic is \( 2L \), we can use the relationship between frequency \( f \), wavelength \( \lambda \), and the speed of sound \( v \) in the medium, which is typically air.

The formula relating these quantities is:

\[ f = \frac{v}{\lambda} \]

Given that the wavelength \( \lambda \) is \( 2L \), we can substitute it into the formula:

\[ f = \frac{v}{2L} \]

So, the associated frequency is inversely proportional to the wavelength:

\[ \text{Associated frequency} = \frac{\text{Speed of sound}}{\text{Wavelength}} = \frac{v}{2L} \]

This is true for any harmonic, as the relationship between frequency and wavelength remains the same.

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