Answer:
The length of the resonating air column is 15 cm.
Explanation:
Given;
fundamental frequency of the air column, F₀ = 550 Hz
Assume speed of sound in air, v = 330 m/s
The wavelength of the air column is calculated as;
[tex]\lambda = \frac{V}{F_o} \\\\\lambda = \frac{330}{550} \\\\\lambda = 0.6 \ m[/tex]
The length of the resonating air column is calculated as;
In fundamental mode for closed pipe;
[tex]L = \frac{\lambda }{4} \\\\L = \frac{0.6}{4} \\\\L = 0.15 \ m\\\\L = 15 \ cm[/tex]
Therefore, the length of the resonating air column is 15 cm.
