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

Practice Questions

Q1
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)
  1. 0.5 m
  2. 1 m
  3. 2 m
  4. 3 m

Questions & Step-by-Step Solutions

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.
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