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The wavelength of a sound wave is related to its frequency by the relationship:
where
f is the frequency
v is the speed of the wave
is the wavelength
The wave in our problem has wavelength of
and speed of 
(this is the speed of sound in air), therefore its frequency is
And the period of the wave is equal to the reciprocal of its frequency:
where
f is the frequency
v is the speed of the wave
The wave in our problem has wavelength of
And the period of the wave is equal to the reciprocal of its frequency: