Question

The E-string on an electric bass guitar is 41 Hz. The length of the string is 0.86 m, with a mass per unit length of 0.015 kg/m.

a) Calculate the tension in the string.

b) Calculate the frequency and wavelength of the 2nd and 3rd harmonics.

Answer 1

Fundamental frequency of string

Length of the string

Mass per unit length of string

a) Frequency of standing waves in a string

For fundamental frequency ,

Tension in the string is

b) For first harmonic (fundamental )

For second harmonic:

Wavelength , frequency

For the third harmonic:

Wavelength , frequency