Question

The vocal tract is a resonator, and the transmission of a sound through an acoustic resonator is highly dependent upon frequency. Sounds at the resonance frequency are less attenuated than other sounds, and are therefore radiated with a higher relative amplitude, or with a greater relative loudness than other sounds. The vocal tract has four or five important resonances called formants. Each formant is associated with a standing wave, that is, with a static pattern of pressure oscillations whose amplitude is at a maximum at the glottal end and near a minimum at the lip opening. The lowest formant corresponds to a quarter of a wavelength, which is to say that a quarter of its wavelength fits within the vocal tract. Similarly, the second, third and fourth formants correspond respectively to a three-quarters wavelength, one and a quarter wavelengths and one and three-quarters wavelengths. Which of the following is not a formant wavelength?
A. 3A/4.
B. A/4.

Answer 1

Answer:

Your question is not complete. this option completes your question

Which of the following is not a formant wavelength?  

A. 3λ/4.

B.λ /4.

c.  λ/2

D. 7λ/4

Explanation:

A formant wavelength will be such that the total length of pipe = nλ/2 + λ/4.

When the above condition is satisfied then only a node is formed at the closed end and antinode at the open end.

Among the given options:

(a) 7λ/4 = nλ/2 + λ/4, satisfied for n = 3

(b) 3λ/4 = nλ/2 + λ/4, satisfied for n = 1

(c) λ/2  λ/2 = nλ/2 + λ/4, not satisfied for any value of n, HENCE NOT A FORMANT WAVELENGTH (ANSWER)

(d) λ/4 = nλ/2 + λ/4, satisfied for n = 0