A string on a guitar is stretched between two points 30.0 cm apart with a tension of 100 N. The mass/length of the string is 0.003 kg/m. The wavelength of the mode of vibration with the lowest frequency is
A) 0.3 m.
B) 0.4 m.
C) 0.5 m.
D) 0.6 m.
E) 0.7 m.

Question

Quizplus · Accepted Answer

The wavelength of the fundamental mode (lowest frequency) for a string fixed at both ends is twice the length of the string. Since the string is 30.0 cm (0.3 m) long, the wavelength is 2 * 0.3 m = 0.6 m.

A String on a Guitar Is Stretched Between Two Points