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)?
Practice Questions
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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)?
0.77 m
0.85 m
0.90 m
1.00 m
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.
Questions & Step-by-step Solutions
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Q
Q: 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)?
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.
Steps: 5
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.
