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------------------------------------------------ A bow slides across a violin string that has a length of 0.516 m and a mass of 0.000269 kg. The string vibrates at its fundamental frequency to produce the musical note A (440 Hz). Assuming room temperature air, what is the wavelength of the sound wave emitted by the violin string? Give your answer in meters.

The wavelength of the sound wave emitted by a violin string vibrating at its fundamental frequency to produce the musical note A (440Hz) is 0.78 meters.

Explanation:

To find the wavelength of the sound wave emitted by a violin string vibrating at its fundamental frequency, we can use the relationship between the speed of sound, frequency, and wavelength. The speed of sound in air at room temperature (approximately 20°C) is around 343 m/s. Given that the musical note A has a frequency (f) of 440 Hz, we can use the formula λ = v/f, where λ is the wavelength and v is the speed of sound.

λ = 343 m/s / 440 Hz = 0.78 meters.

The wavelength of the sound wave emitted by the violin string when it vibrates at 440 Hz, producing the note A, is 0.78 meters.