Question

A standing wave is established on a string that is fixed at both ends. If the string is vibrating at its fundamental frequency, how is the length of the string related to the wavelength of the standing wave?a. The length of the sting is equal to one-quarter of a wavelength.b. The length of the string is equal to the wavelength.c. The length of the string is equal to twice the wavelength.d. The length of the string is equal to one-half of a wavelengthe. The length of the string is equal to four times the wavelength

Answer 1

Answer;

The length of the string is equal to one-half of a wavelength.

Explanation;

• Standing waves are waves that do not propagate that is they do not go anywhere, but they have regions where the disturbance of the wave is quite small, almost zero, called nodes.
• Standing waves also have regions where the disturbance is quite intense, greater than anywhere else in the medium called antinodes.
• In this case, If the string is vibrating at its fundamental frequency, then the length of the string is equal to one half of a wavelength.