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Solution - 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? - CBSE Class 9 - Science

ConceptRange of Hearing in Humans

Question

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.

Solution

For a sound wave,

Speed = Wavelength × Frequency

`v=lambdaxxupsilon`

Given that the speed of sound in air = 344 m/s

(i) For, `upsilon` = 20 Hz

`lambda_1=v/upsilon_1=344/20=17.2m`

(ii) For, `upsilon_2=20000Hz`

`lambda_2=v/upsilon_2=344/20000=0.0172m`

Hence, for humans, the wavelength range for hearing is 0.0172 m to 17.2 m.

Is there an error in this question or solution?

APPEARS IN

 NCERT Science Textbook for Class 9 (with solutions)
Chapter 12: Sound
Q: 7 | Page no. 174

Video TutorialsVIEW ALL [1]

Reference Material

Solution for question: 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? concept: null - Range of Hearing in Humans. For the course CBSE
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