A sound wave travels at 340 m/s. If its frequency is 170 Hz, what is its wavelen

Practice Questions

Q1
A sound wave travels at 340 m/s. If its frequency is 170 Hz, what is its wavelength?
  1. 0.5 m
  2. 1 m
  3. 2 m
  4. 3 m

Questions & Step-by-Step Solutions

A sound wave travels at 340 m/s. If its frequency is 170 Hz, what is its wavelength?
Correct Answer: 2 m
  • Step 1: Understand the wave equation, which is v = fλ. Here, v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
  • Step 2: Identify the values given in the question. The speed of the sound wave (v) is 340 m/s and the frequency (f) is 170 Hz.
  • Step 3: Rearrange the wave equation to solve for wavelength (λ). This gives us λ = v / f.
  • Step 4: Substitute the values into the equation. So, 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 Equation – The relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) is given by the equation v = fλ.
  • Units of Measurement – Understanding the units of speed (m/s), frequency (Hz), and wavelength (m) is crucial for solving wave problems.
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