Discussion
Considering source/filter theory of voice production, for given vocal tract length 17.5 cm and velocity of sound equals to 350 m/s, second formant frequency will be :
Answer: B
The second formant frequency is 1500 Hz.
In the source/filter model the vocal tract for a neutral vowel acts as a tube closed at the glottis and open at the lips. Its resonances (formants) fall at odd multiples of a quarter wavelength:
\[ F_{n} = \frac{(2n - 1)\,c}{4L} \]
With c = 350 m/s and L = 17.5 cm = 0.175 m, the second formant (n = 2) is:
\[ \begin{aligned} F_{2} &= \frac{3 \times 350}{4 \times 0.175} \\ &= \frac{1050}{0.7} = 1500\ \text{Hz} \end{aligned} \]
The first formant is 500 Hz, the value in option D, and the third is 2500 Hz. 1000 Hz and 2000 Hz are even multiples of 500 Hz, which a tube closed at one end does not produce.
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