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A tuning fork produces a sound wave of frequency 440 Hz. What is the wavelength
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?
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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 at a temperature of 20°C?
0.78 m
0.34 m
0.50 m
0.25 m
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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.
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 at a temperature of 20°C?
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.
Steps: 5
Show Steps
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.
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