Question:
A 
violin string, fixed at both ends, is vibrating in its n=1
mode.
The speed of sound on the wire is 
and the speed of sound in air is 
.
What is the frequency and wavelength of the emitted sound wave?
Solution:
In the n=1 mode, we have the condition that 
.
Using
gives 
, and 
.
This frequency sound wave in air has a wavelength of 
, from the relation 
.