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Relationship Between Frequency and Period

The frequency and the period are inversely proportional.

[tex]f=\dfrac{1}{T}[/tex] where T is the period

Solving the Question

We're given:

  • v = 340 m/s
  • f = 1000 Hz

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]

Answer

[tex]T=\dfrac{1}{1000}[/tex]

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