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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 at a temperature of 20°C?

Options:

  1. 0.78 m
  2. 0.34 m
  3. 0.50 m
  4. 0.25 m

Correct Answer: 0.78 m

Solution: 

The speed of sound in air at 20°C is approximately 343 m/s. The wavelength λ is given by λ = v/f. Thus, λ = 343/440 ≈ 0.78 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 at a temperature of 20°C?
  1. 0.78 m
  2. 0.34 m
  3. 0.50 m
  4. 0.25 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 at a temperature of 20°C?
  • Step 1: Identify the frequency of the sound wave. In this case, the frequency (f) is 440 Hz.
  • Step 2: Find the speed of sound in air at 20°C. The speed (v) is approximately 343 m/s.
  • Step 3: Use the formula for wavelength (λ), which is λ = v / f.
  • Step 4: Substitute the values into the formula: λ = 343 m/s / 440 Hz.
  • Step 5: Calculate the wavelength: λ ≈ 0.78 m.
  • Wave Properties – Understanding the relationship between frequency, wavelength, and the speed of sound.
  • Speed of Sound – Knowledge of how temperature affects the speed of sound in air.
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