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Calculate the wavelengths in air at 20?C for sounds in the maximum range of human hearing. The speed of sound in air is 343 m/s.Part ACalculate the wavelength of a 20-Hz wave.Express your answer to two significant figures and include the appropriate units.Part BCalculate the wavelength of a 20,000-Hz wave.Express your answer to two significant figures and include the appropriate units.Part CWhat is the wavelength of a 20-MHz ultrasonic wave?Express your answer to two significant figures and include the appropriate units.

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Answer:

Part A:  17 m

Part B:  1.7 x 10⁻²m

Part C:  1.7 x 10⁻⁵m

Explanation:

Equation needed to answer the question:

 λ = [tex]\frac{v}{f}[/tex]

where λ is the wavelength, f is the frequency and v is the velocity,

Part A:

Substitute velocity with the speed of sound: 343 m/s

Substitute frequency with the value given: 20 Hz

 λ = [tex]\frac{343m/s}{20Hz}[/tex] = 17 m

Part B:

Substitute velocity with the speed of sound: 343 m/s

Substitute frequency with the value given: 20,000 Hz

 λ = [tex]\frac{343m/s}{20,000Hz}[/tex] = 1.7 x 10⁻²m

Part C:

Substitute velocity with the speed of sound: 343 m/s

Substitute frequency with the value given: 20,000 Hz

 λ = [tex]\frac{343m/s}{20MHz (\frac{10^{6}Hz}{1MHz})}[/tex] = 1.7 x 10⁻⁵m

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