Are the Frequencies of a Plucked String and the Corresponding Sound Wave Equal?

[SweatingBear]

If I pluck a string, a wave begins to propagate throughout the string. From experience we know that this produces a sound and this is due to the fact that the oscillation of the wave in the string causes air molecules in its vicinity to oscillate similarly. The speed of the wave in the string versus the speed of the generated sound wave in air are definitely not equal (two different mediums and therefore different speeds) but I wonder whether the frequencies are equal?

I.e. is the frequency with which the string swings back and forth the same as the frequency of the sound that the sound wave in air that is heard?

 

[technician]

the frequencies will be the same, the wavelength on the string will not be the same as the wavelength in the air...this accounts for the different speeds