The length of a string is 344 cm. The string is held fixed at each end. The string vibrates in two sections; i.e., the string has two antin- odes, and the string vibrates at 130 Hz. Find the wavelength. Answer in units of m.

What is the fundamental frequency? Answer in units of Hz.

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.