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)

Question

Responses

8.7 meters
8.7 meters

0.87 meters
0.87 meters

1.2 meters
1.2 meters

0.0026 meters

Answer 1

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

\[ \text{Wavelength} = \frac{\text{Speed of Sound}}{\text{Frequency}} \]

In this case, the speed of sound is 340 m/s, and the frequency is 392 Hz. Now we can plug in these values:

\[ \text{Wavelength} = \frac{340 , \text{m/s}}{392 , \text{Hz}} \approx 0.867 , \text{m} \]

Rounding to two decimal places, the wavelength is approximately 0.87 meters.

So the correct response is:

0.87 meters