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A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a s
A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?
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Q1
A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?
0.5 m
1 m
2 m
4 m
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Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 680 Hz = 0.5 m.
Questions & Step-by-step Solutions
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Q
Q: A sound wave travels at a speed of 340 m/s in air. What is the wavelength of a sound wave with a frequency of 680 Hz?
Solution:
Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 680 Hz = 0.5 m.
Steps: 7
Show Steps
Step 1: Identify the speed of the sound wave, which is given as 340 meters per second (m/s).
Step 2: Identify the frequency of the sound wave, which is given as 680 hertz (Hz).
Step 3: Use the wave equation, which states that the speed (v) of a wave is equal to its frequency (f) multiplied by its wavelength (λ): v = f * λ.
Step 4: Rearrange the wave equation to solve for wavelength (λ): λ = v / f.
Step 5: Substitute the values into the equation: λ = 340 m/s / 680 Hz.
Step 6: Perform the division: 340 divided by 680 equals 0.5.
Step 7: Conclude that the wavelength of the sound wave is 0.5 meters.
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