A tuning fork produces a sound wave of frequency 440 Hz. If the speed of sound in air is 340 m/s, what is the wavelength of the sound wave?

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Q: A tuning fork produces a sound wave of frequency 440 Hz. If the speed of sound in air is 340 m/s, what is the wavelength of the sound wave?

Solution: Using the formula λ = v/f, we find λ = 340 m/s / 440 Hz = 0.7727 m, approximately 0.77 m.

Steps: 6

Step 1: Identify the frequency of the sound wave. In this case, the frequency (f) is 440 Hz.
Step 2: Identify the speed of sound in air. Here, the speed (v) is 340 m/s.
Step 3: Use the formula for wavelength (λ), which is λ = v / f.
Step 4: Substitute the values into the formula: λ = 340 m/s / 440 Hz.
Step 5: Perform the division: 340 divided by 440 equals approximately 0.7727 m.
Step 6: Round the result to two decimal places, which gives us approximately 0.77 m.