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A sound wave travels through air at a speed of 340 m/s. If its frequency is 1700

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Question: A sound wave travels through air at a speed of 340 m/s. If its frequency is 1700 Hz, what is its wavelength? (2022)

Options:

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

Correct Answer: 0.5 m

Exam Year: 2022

Solution: 

Wavelength (λ) = speed (v) / frequency (f) = 340 m/s / 1700 Hz = 0.2 m.

A sound wave travels through air at a speed of 340 m/s. If its frequency is 1700

Practice Questions

Q1
A sound wave travels through air at a speed of 340 m/s. If its frequency is 1700 Hz, what is its wavelength? (2022)
  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 its frequency is 1700 Hz, what is its wavelength? (2022)
  • Step 1: Identify the speed of the sound wave, which is given as 340 m/s.
  • Step 2: Identify the frequency of the sound wave, which is given as 1700 Hz.
  • Step 3: Use the formula for wavelength, which is Wavelength (λ) = speed (v) / frequency (f).
  • Step 4: Substitute the values into the formula: λ = 340 m/s / 1700 Hz.
  • Step 5: Perform the division: 340 divided by 1700 equals 0.2.
  • Step 6: Conclude that the wavelength (λ) is 0.2 meters.
  • Wave Properties – Understanding the relationship between speed, frequency, and wavelength of sound waves.
  • Formula Application – Applying the formula λ = v / f to calculate wavelength.
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