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To find the wavelength of a vibrating string, we can use the formula:
Wavelength = 2 * length / number of antinodes
In this case, the length of the string is given as 344 cm (or 3.44 m), and the string has two antinodes. Let's calculate the wavelength.
Wavelength = 2 * 3.44 m / 2 = 3.44 m
Therefore, the wavelength of the vibrating string is 3.44 meters.
To find the fundamental frequency, we can use the relationship between frequency and wavelength. The fundamental frequency is the inverse of the wavelength:
Fundamental frequency = 1 / Wavelength
Fundamental frequency = 1 / 3.44 m ≈ 0.291 Hz
Therefore, the fundamental frequency of the vibrating string is approximately 0.291 Hz.