What is this wave’s frequency?

Question

Human fingers are very sensitive, detecting vibrations with amplitudes as low as 2.4 X 10^-5 m. Consider a sound wave with a wavelength exactly 1000 times greater than the lowest amplitude detectable by fingers. The speed of sound in air is 377 m/s. What is this wave’s frequency?

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Answer 1 · 2018-04-13T01:11:58

#"15708.3 Hz"#

#"Wavelength = 1000 × Lowest amplitude"#

#lamda = 1000 × 2.4 × 10^-5\ "m" = 2.4 × 10^-2\ "m"#

Speed, wavelength and frequency are related as

#"v = f λ"#

#"f" = "v"/"λ" = "377 m/s"/(2.4 × 10^-2\ "m") = "15708.3 Hz"#