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A sound wave travels through air at a speed of 340 m/s. If the frequency of the

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Question: A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound is 1700 Hz, what is the wavelength?

Options:

  1. 0.2 m
  2. 0.5 m
  3. 1 m
  4. 2 m

Correct Answer: 0.2 m

Solution: 

Using the formula v = fλ, we can rearrange to find λ = v/f. Thus, λ = 340 m/s / 1700 Hz = 0.2 m.

A sound wave travels through air at a speed of 340 m/s. If the frequency of the

Practice Questions

Q1
A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound is 1700 Hz, what is the wavelength?
  1. 0.2 m
  2. 0.5 m
  3. 1 m
  4. 2 m

Questions & Step-by-Step Solutions

A sound wave travels through air at a speed of 340 m/s. If the frequency of the sound is 1700 Hz, what is the wavelength?
Correct Answer: 0.2 m
  • Step 1: Identify the speed of sound in air, which is given as 340 m/s.
  • Step 2: Identify the frequency of the sound wave, which is given as 1700 Hz.
  • Step 3: Write down the formula that relates speed (v), frequency (f), and wavelength (λ): v = fλ.
  • Step 4: Rearrange the formula to solve for wavelength (λ): λ = v / f.
  • Step 5: Substitute the values into the formula: λ = 340 m/s / 1700 Hz.
  • Step 6: Perform the division: λ = 0.2 m.
  • Wave Speed, Frequency, and Wavelength – This concept involves understanding the relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) using the formula v = fλ.
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