Question

In music, the note G above middle C has a frequency of about 392 hertz. If the speed of sound in
the air is 340 m/s, what is the approximate wavelength of this note? (1 point)

0.0026 meters

0.87 meters

1.2 meters

8.7 meters

Answer 1

To find the wavelength of a sound wave, we can use the formula:

\[
\text{Wavelength} (\lambda) = \frac{\text{Speed of Sound} (v)}{\text{Frequency} (f)}
\]

In this case, the speed of sound \( v = 340 \) m/s and the frequency of the note G \( f = 392 \) Hz.

Now, we can plug in the values:

\[
\lambda = \frac{340 \text{ m/s}}{392 \text{ Hz}}
\]

Calculating this:

\[
\lambda \approx \frac{340}{392} \approx 0.8673 \text{ m}
\]

Rounding this to two decimal places gives approximately:

\[
\lambda \approx 0.87 \text{ m}
\]

Thus, the approximate wavelength of the note G is **0.87 meters**.