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.
