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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 170 Hz, what is the wavelength?

Options:

  1. 1 m
  2. 2 m
  3. 3 m
  4. 4 m

Correct Answer: 2 m

Solution: 

The wavelength λ is given by λ = v/f. Thus, λ = 340/170 = 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 170 Hz, what is the wavelength?
  1. 1 m
  2. 2 m
  3. 3 m
  4. 4 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 170 Hz, what is the wavelength?
  • 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 170 Hz.
  • Step 3: Use the formula for wavelength, which is λ = v/f, where v is the speed and f is the frequency.
  • Step 4: Substitute the values into the formula: λ = 340 m/s / 170 Hz.
  • Step 5: Perform the division: 340 divided by 170 equals 2.
  • Step 6: Conclude that the wavelength λ is 2 meters.
  • Wave Properties – Understanding the relationship between speed, frequency, and wavelength of sound waves.
  • Formula Application – Applying the formula λ = v/f correctly to find the wavelength.
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