A sound wave travels through air at 343 m/s. If its frequency is 686 Hz, what is

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Question: A sound wave travels through air at 343 m/s. If its frequency is 686 Hz, what is its wavelength? (2023)

Options:

Correct Answer: 0.5 m

Solution:

Wavelength λ = v/f = 343 m/s / 686 Hz = 0.5 m.

A sound wave travels through air at 343 m/s. If its frequency is 686 Hz, what is its wavelength? (2023)

A sound wave travels through air at 343 m/s. If its frequency is 686 Hz, what is its wavelength? (2023)

Step 1: Identify the speed of sound in air, which is given as 343 meters per second (m/s).
Step 2: Identify the frequency of the sound wave, which is given as 686 hertz (Hz).
Step 3: Use the formula for wavelength, which is Wavelength (λ) = Speed (v) / Frequency (f).
Step 4: Substitute the values into the formula: λ = 343 m/s / 686 Hz.
Step 5: Perform the division: 343 divided by 686 equals 0.5.
Step 6: Conclude that the wavelength of the sound wave is 0.5 meters.

Wave Properties – Understanding the relationship between speed, frequency, and wavelength of sound waves.
Formula Application – Applying the formula for wavelength (λ = v/f) correctly to solve for wavelength.