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If the period of the lowest-frequency sound you can hear is 0.050 s, then what is its frequency?

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The frequency of a sound wave or any wave for that matter is the reciprocal of the period. That is,
f = 1/T
Substituting the known value of period,
f = 1/(0.05 s)
f = 20 Hz
Thus, the frequency of the wave is equal to 20 Hz.
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