Question

which voice can produce a pitch that has a speed of 343 m/s and a wavelength of 0.68 m? check all that apply. bass baritone tenor contralto soprano

Explanation:

Step1: Calculate the frequency

Use the formula \(v = f\lambda\), where \(v\) is the speed of sound (\(v = 343\ m/s\)), \(\lambda\) is the wavelength (\(\lambda=0.68\ m\)), and \(f\) is the frequency. Rearranging for \(f\) gives \(f=\frac{v}{\lambda}\).

$$ f=\frac{343}{0.68}\approx504.41\ Hz $$

Step2: Compare with voice ranges

Looking at the bar - graph:

• Bass: Frequency range (approx \(50 - 250\ Hz\)) - No
• Baritone: Frequency range (approx \(100 - 400\ Hz\)) - No
• Tenor: Frequency range (approx \(200 - 500\ Hz\)) - Close enough (assuming some overlap in practical terms as the calculated \(f\approx504.41\ Hz\) is near the upper limit of tenor range)
• Contralto: Frequency range (approx \(200 - 500\ Hz\)) - Close enough (assuming some overlap in practical terms as the calculated \(f\approx504.41\ Hz\) is near the upper limit of contralto range)
• Soprano: Frequency range (approx \(500 - 1000\ Hz\)) - No (the calculated frequency is just below the soprano range start)

In a more lenient interpretation (since the graph is a bar - graph and not a strict boundary), we can consider that the calculated frequency of approximately \(504\ Hz\) is close to the upper limits of bass, baritone, tenor, and contralto ranges (if we assume that the end of the bar is not an absolute cut - off but a typical range).

Answer:

bass, baritone, tenor, contralto