Question

a person has a hearing range from 20 to 20khz what are the typical wavelength of sound waves in their corresponding to these two frequencies take the speed of sound in air is 344 ms -1

Answer 1

Answer:

(i) In the first case:

Speed, v=344ms−1

Frequency, f=20Hz

And, Wavelength, λ=? (To be calculated)

Now, v=f×λ

So, 344=20×λ

λ=34420m

Wavelength, λ=17.2m...(1)

(ii) In the second case:

Speed, v=344ms−1

Frequency, f=20kHz

=20×1000Hz (Because 1kHz=1000Hz)

=20000Hz

And, Wavelength, λ=? (To be calculated)

Now, v=f×λ

So, 344=2000×λ

λ=34420000

Wavelength, λ=0.0172m ...(2)

Thus, the wavelengths of sound in air corresponding to the frequencies of 20Hz and 20 kHz are 17.2m and 0.0172 m respectively.