High School

Assuming room temperature air, what is the wavelength of the sound wave emitted by the violin string? Give your answer in meters.

Answer :

Final answer:

The wavelength of the sound wave emitted by a violin string in room temperature air is calculated by dividing the room temperature speed of sound by the frequency of the violin string. The result is approximately 0.32 meters.

Explanation:

The wavelength of a sound wave emitted by a violin string in room temperature air can be calculated using the equation v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength. Given that the room temperature speed of sound is 346 m/s, and we know the frequency of the violin string from provided data is 1076.83 Hz, we can solve the equation for λ, resulting in λ = 346 m/s / 1076.83 Hz = 0.32 m. Thus, the wavelength of the sound wave emitted by the violin string at room temperature is approximately 0.32 meters.

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