The frequency and the period are inversely proportional.
[tex]f=\dfrac{1}{T}[/tex] where T is the period
We're given:
Because the frequency and the period are reciprocals of each other, we can find the period of the sound by finding the reciprocal of the frequency:
[tex]T=\dfrac{1}{1000}[/tex]
[tex]T=\dfrac{1}{1000}[/tex]