Wavelengths of lowest and highest audible frequencies

In summary, the lowest and highest audible frequencies are typically around 20 Hz and 20,000 Hz, respectively. The relationship between wavelength and frequency for audible sound is that they are inversely proportional. The human ear perceives different wavelengths of sound through structures that convert sound waves into electrical signals for the brain to interpret. Humans cannot hear wavelengths outside of the audible range, which is limited to 20 Hz to 20,000 Hz. Scientists use various tools and techniques to measure the wavelengths and frequencies of sound waves, such as oscilloscopes and spectrographs, and can also calculate wavelength using the speed of sound and frequency.
  • #1
Lyphta
11
0

Homework Statement


What are the wavelengths in air of the lowest and highest audible frequencies if te range of human hearing is 20 Hz to 20 kHz and the sped of sound is 342 m/s?


Homework Equations


v= [tex]\lambda[/tex]f

The Attempt at a Solution


v= [tex]\lambda[/tex]f
342 = 20 Hz [tex]\lambda[/tex]
[tex]\lambda[/tex] = 17.1

Am I supposed to also do 20 kHz? Would 20 kHz be equal to 20,000?
 
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  • #2
Would 20 kHz be equal to 20,000?
Yes, it would be equal to 20,000 Hz.
 
  • #3


Yes, you are correct. The wavelength for 20 kHz would be 17.1 m as well. To convert kHz to Hz, you would multiply by 1000. So 20 kHz would be equal to 20,000 Hz. This means that the wavelength for the highest audible frequency (20 kHz) would also be 17.1 m. Both the lowest and highest audible frequencies have the same wavelength due to the inverse relationship between frequency and wavelength.
 

FAQ: Wavelengths of lowest and highest audible frequencies

What are the lowest and highest audible frequencies?

The lowest audible frequency is typically around 20 Hz, and the highest is around 20,000 Hz. However, this range may vary slightly depending on an individual's age and hearing ability.

What is the relationship between wavelength and frequency for audible sound?

The wavelength of a sound wave is inversely proportional to its frequency. This means that as the frequency increases, the wavelength decreases.

How does the human ear perceive different wavelengths of sound?

The human ear has different structures, such as the eardrum and cochlea, that are sensitive to different ranges of wavelengths. These structures convert sound waves into electrical signals that are sent to the brain for interpretation.

Can humans hear wavelengths outside of the audible range?

No, the audible range for humans is limited to 20 Hz to 20,000 Hz. Wavelengths outside of this range are either too low or too high for the human ear to detect.

How do scientists measure the wavelengths of sound?

Scientists use various tools and techniques, such as oscilloscopes and spectrographs, to measure the wavelengths and frequencies of sound waves. They can also calculate the wavelength using the speed of sound and the frequency of the wave.

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