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 in air (speed of sound = 340 m/s)? (2021)

Options:

Correct Answer: 0.77 m

Exam Year: 2021

Solution:

Wavelength λ is given by λ = v/f. 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 of the sound in air (speed of sound = 340 m/s)? (2021)

A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength of the sound in air (speed of sound = 340 m/s)? (2021)

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: Use the formula for wavelength (λ), which is λ = v / f.
Step 3: Substitute the values into the formula: λ = 340 m/s / 440 Hz.
Step 4: Perform the division: 340 divided by 440 equals approximately 0.7727.
Step 5: Round the result to two decimal places: 0.7727 m is approximately 0.77 m.
Step 6: Conclude that the wavelength of the sound in air is approximately 0.77 meters.

Wave Properties – Understanding the relationship between frequency, wavelength, and wave speed.
Sound Waves – Application of the wave equation in the context of sound waves in air.