A person has a hearing range from $20 H z$ to $20 k H z$ . What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as $344 \frac{m}{s}$ .

Open in App

Solution

Step 1: Given data
The hearing range of the person $= 20 H z - 20 K H z$
Speed of sound in air $=$ $344 \frac{m}{s}$
Step 2: Formula used
Speed $=$ Frequency $\times$ Wavelength
Step 3: Solution
$v = f \times λ$
(i). For the frequency $f = 20 H z$
$\Rightarrow λ = \frac{344}{20} = 17.2 m$
(ii). For the frequency $f = 20 k H z$
$\Rightarrow λ = \frac{344}{20 \times 10^{3}} = 0.0172 m$
Hence, the range of wavelength is $0.0172 m - 17.2 m$ .

Suggest Corrections

717

Similar questions

Q. (a) What are infrasonic waves ? Name two animals which produce infrasonic waves.
(b) What are ultrasonic waves ? Name two animals which can produce ultrasonic waves.
(c) 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)

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.

Q. A person can hear sound waves in the frequency range

20 H z

20 k H z

. Find the minimum and the maximum wavelengths of sound that is audible to the person. The speed of sound is

360 m / s

Join BYJU'S Learning Program

A person has a hearing range from 20Hz to 20kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344ms.

A person has a hearing range from $20 H z$ to $20 k H z$ . What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as $344 \frac{m}{s}$ .