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A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.8
A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency of the sound wave? (2022)
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A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency of the sound wave? (2022)
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The frequency f can be calculated using the formula v = fλ. Rearranging gives f = v/λ = 340 m/s / 0.85 m ≈ 400 Hz.
Questions & Step-by-step Solutions
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Q
Q: A sound wave travels through air at a speed of 340 m/s. If the wavelength is 0.85 m, what is the frequency of the sound wave? (2022)
Solution:
The frequency f can be calculated using the formula v = fλ. Rearranging gives f = v/λ = 340 m/s / 0.85 m ≈ 400 Hz.
Steps: 6
Show Steps
Step 1: Identify the speed of the sound wave, which is given as 340 m/s.
Step 2: Identify the wavelength of the sound wave, which is given as 0.85 m.
Step 3: Use the formula for wave speed, which is v = fλ, where v is speed, f is frequency, and λ is wavelength.
Step 4: Rearrange the formula to solve for frequency (f): f = v / λ.
Step 5: Substitute the values into the formula: f = 340 m/s / 0.85 m.
Step 6: Calculate the frequency: f ≈ 400 Hz.
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