A sound wave of frequency f travels in air with speed v = 343 m/s. What is its wavelength when f = 343 Hz?

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Multiple Choice

A sound wave of frequency f travels in air with speed v = 343 m/s. What is its wavelength when f = 343 Hz?

Explanation:
The wavelength comes from the simple relation v = fλ, which says how far a wave travels in one cycle (the wavelength) times how many cycles pass per second (the frequency) gives the speed of the wave. With v = 343 m/s and f = 343 Hz, the wavelength is λ = v/f = 343/343 = 1 meter. So the wave’s spacing of crests is 1 meter. If you tried other wavelengths, they would correspond to different speeds or frequencies, so they wouldn’t match the given numbers.

The wavelength comes from the simple relation v = fλ, which says how far a wave travels in one cycle (the wavelength) times how many cycles pass per second (the frequency) gives the speed of the wave. With v = 343 m/s and f = 343 Hz, the wavelength is λ = v/f = 343/343 = 1 meter. So the wave’s spacing of crests is 1 meter. If you tried other wavelengths, they would correspond to different speeds or frequencies, so they wouldn’t match the given numbers.

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