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A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength

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Question: A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound wave in air (speed of sound = 340 m/s)?

Options:

  1. 0.77 m
  2. 0.85 m
  3. 0.90 m
  4. 1.00 m

Correct Answer: 0.77 m

Solution: 

The wavelength λ can be calculated using the formula λ = v/f, where v is the speed of sound and f is the frequency. Thus, λ = 340 m/s / 440 Hz = 0.77 m.

A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength

Practice Questions

Q1
A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound wave in air (speed of sound = 340 m/s)?
  1. 0.77 m
  2. 0.85 m
  3. 0.90 m
  4. 1.00 m

Questions & Step-by-Step Solutions

A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound wave in air (speed of sound = 340 m/s)?
Correct Answer: 0.77 m
  • Step 1: Identify the given values. The frequency (f) of the sound wave is 440 Hz and the speed of sound (v) in air is 340 m/s.
  • Step 2: Write down the formula to calculate the wavelength (λ). The formula is λ = v / f.
  • Step 3: Substitute the values into the formula. Replace v with 340 m/s and f with 440 Hz: λ = 340 m/s / 440 Hz.
  • Step 4: Perform the division. Calculate 340 divided by 440 to find the wavelength.
  • Step 5: The result of the division is approximately 0.77 m. This is the wavelength of the sound wave.
  • Wave Properties – Understanding the relationship between frequency, wavelength, and speed of sound.
  • Formula Application – Applying the formula λ = v/f correctly to find the wavelength.
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