A sound wave travels through air at a speed of 343 m/s. If the frequency of the

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Question: A sound wave travels through air at a speed of 343 m/s. If the frequency of the sound is 686 Hz, what is the wavelength? (2022)

Options:

Correct Answer: 1 m

Exam Year: 2022

Solution:

Using the wave speed formula v = f * λ, we can rearrange to find λ = v/f. Thus, λ = 343 m/s / 686 Hz = 0.5 m.

A sound wave travels through air at a speed of 343 m/s. If the frequency of the sound is 686 Hz, what is the wavelength? (2022)

A sound wave travels through air at a speed of 343 m/s. If the frequency of the sound is 686 Hz, what is the wavelength? (2022)

Step 1: Identify the speed of the sound wave, which is given as 343 m/s.
Step 2: Identify the frequency of the sound wave, which is given as 686 Hz.
Step 3: Use the wave speed formula, which is v = f * λ, where v is speed, f is frequency, and λ is wavelength.
Step 4: Rearrange the formula to solve for wavelength (λ). This gives us λ = v / f.
Step 5: Substitute the values into the formula: λ = 343 m/s / 686 Hz.
Step 6: Perform the division: 343 divided by 686 equals 0.5.
Step 7: Conclude that the wavelength (λ) is 0.5 meters.

Wave Speed Formula – The relationship between wave speed (v), frequency (f), and wavelength (λ) is given by the formula v = f * λ, which can be rearranged to find wavelength.