A string on a guitar is stretched between two points 35.0 cm apart with a tension of 65.0 N. The mass/length of the string is 0.00400 kg/m. The wavelength of the mode of vibration with the lowest frequency is
A) 0.5 m.
B) 0.6 m.
C) 0.7 m.
D) 0.8 m.
E) 0.9 m.

Question

Quizplus · Accepted Answer

The wavelength of the mode of vibration with the lowest frequency, also known as the fundamental frequency or first harmonic, is twice the length of the string. Since the string is 35.0 cm (or 0.35 m) long, the wavelength is $2 \times 0.35 m = 0.7 m$.

A String on a Guitar Is Stretched Between Two Points