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Sound travels at 340 m/s in dry air at room temperature. What is the wavelength of sound waves with a frequency of 220 Hz under those conditions?

A. 1.55 m
B. 0.65 m
C. 4.5 mm
D. 75 km

Answer :

To find the wavelength of sound waves, we use the formula:

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

Let's plug in the given values:

1. The speed of sound in dry air at room temperature is 340 meters per second (m/s).
2. The frequency of the sound waves is 220 Hertz (Hz).

Now, divide the speed of sound by the frequency to find the wavelength:

[tex]\[ \text{Wavelength} = \frac{340 \, \text{m/s}}{220 \, \text{Hz}} \][/tex]

[tex]\[ \text{Wavelength} \approx 1.55 \, \text{meters} \][/tex]

Therefore, the wavelength of the sound waves is approximately 1.55 meters. So, the correct option is:

A. 1.55 m

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