Advertisements
Advertisements
Question
The audible range of frequencies of an average human ear is from 20 Hz to 20 kHz. Calculate the corresponding wavelengths. (Speed of sound in air is 344 ms–1)
Advertisements
Solution
We have to calculate the wavelength range of audible sound.
Given: Speed of sound ν = 344 m/s
Lower frequency of audible range fL = 20 Hz
Higher frequency of audible range fH = 20,000 Hz
We know relation of velocity, frequency, and wavelength `lambda = v/f`,
where ν is the velocity, f the frequency, and λ the wavelength.
So, wavelength corresponding to the lower frequency is
`lambda_L = 344/20`
= 17.2 m
So, wavelength corresponding to the higher frequency is
`lambda_H = 344/20000`
= 0.0172 m
Hence , the range of wavelength in audible region is 17.2 m - 0.0172 m
APPEARS IN
RELATED QUESTIONS
What is the audible range of the average human ear?
What is the range of frequencies associated with infrasound?
A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344 m s−1.
Can we hear (a) infrasonic waves (b) ultrasonic waves ?
What is the frequency range of hearing in humans ?
Which of the following sound frequencies cannot be heard by a human ear ?
(i) 10 Hz
(ii) 100 Hz
(iii) 10,000 Hz
(iv) 15 Hz
(v) 40,000 Hz
What is ultrasound ? What is the difference between ordinary sound and ultrasound ?
One of the following can hear infrasound. This one is :
Which of the above two graphs (a) and (b) (Fig.12.3) representing the human voice is likely to be the male voice? Give a reason for your answer.
For hearing the loudest ticking sound heard by the ear, find the angle x in Fig.12.4.
