Question

the clarinet is well‑modeled as a cylindrical pipe that is open at one end and closed at the other. for a clarinet's whose air column has an effective length of 0.381 m, determine the wavelength ????m

Answer 1

The wavelength of the sound produced by a clarinet, modeled as a cylindrical pipe that is open at one end and closed at the other with an effective length of 0.381 m, is 1.524 meters.

Step-by-step explanation:

The clarinet is well-modeled as a cylindrical pipe that is open at one end and closed at the other. The fundamental wavelength that such a pipe can support is four times its length, because the length of the pipe represents one-quarter of the wavelength. Given the effective length of a clarinet's air column as 0.381 m, the wavelength (λ) can be calculated as:

λ = 4 × Length

λ = 4 × 0.381 m

λ = 1.524 m

Therefore, the wavelength of the sound produced by the clarinet in its fundamental mode of vibration is 1.524 meters.