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A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz,
A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?
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Q1
A sound wave travels at a speed of 340 m/s in air. If its frequency is 1700 Hz, what is its wavelength?
0.2 m
0.5 m
1.0 m
2.0 m
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Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 1700 Hz = 0.2 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. If its frequency is 1700 Hz, what is its wavelength?
Solution:
Using the wave equation v = fλ, we can find the wavelength: λ = v/f = 340 m/s / 1700 Hz = 0.2 m.
Steps: 6
Show Steps
Step 1: Understand the wave equation, which is v = fλ. Here, v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.
Step 2: Identify the values given in the question. The speed of the sound wave (v) is 340 m/s and the frequency (f) is 1700 Hz.
Step 3: Rearrange the wave equation to solve for wavelength (λ). The formula becomes λ = v / f.
Step 4: Substitute the values into the formula. So, λ = 340 m/s / 1700 Hz.
Step 5: Perform the division. Calculate 340 divided by 1700, which equals 0.2 m.
Step 6: Conclude that the wavelength of the sound wave is 0.2 meters.
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