Question

A violin string tuned to concert A (440 Hz) has a length of 0.34 m (a) What are the three longest
frequencies of the resonances of the string? (b) What are the corresponding frequencies that reach
the ear of the listener?

Answer 1

1)

$$f_1=440\ Hz, \\f_2=2(440)=880\ Hz,\\f_3=3(440)=1320\ Hz$$

2)

$$f_1'=f_1=440\ Hz, \\f_2'=f_2=880\ Hz,\\f_3'=f_3=1320\ Hz$$