To determine the wavelength of the first overtone of a closed pipe, we can use the fact that the first overtone of a closed pipe is the second harmonic. The second harmonic is an integer multiple of the fundamental frequency.
The fundamental frequency of the closed pipe is given as 120 Hz. The first overtone, which is the second harmonic, would be twice the frequency of the fundamental. Therefore, the frequency of the first overtone is 2 * 120 Hz = 240 Hz.
To find the wavelength, we can use the formula:
λ = v / f
where λ is the wavelength, v is the speed of sound, and f is the frequency.
The speed of sound in air at room temperature is approximately 343 meters per second.
Plugging in the values:
λ = 343 m/s / 240 Hz ≈ 1.429 meters
Therefore, the wavelength of the first overtone of the closed pipe is approximately 1.429 meters.