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A person can hear sound waves in the fre...

A person can hear sound waves in the frequency range 20 Hz to 20 kHz. Find the minimum and the maximum wavelengths of sound that is audible to the person. The speed of sound is `360 m s^-1`.

Text Solution

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The correct Answer is:
18 mm, 18 m
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Find the minimum and the maximum wavelenghts of sound in air that a man is able to hear . How will this range change, if the sound travels in water?

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) .

Knowledge Check

  • Our ear can hear sound waves of the frequency :

    A
    Above 20,000 cycles/sec.
    B
    5-100 cycles/sec.
    C
    50-20,000 cycles/sec.
    D
    20-20,000 cycles/sec.
  • The highest frequency produced by a man is 1700 Hz and that of a woman is 2780 Hz. The ratio of wavelengths of sound of man and woman are (speed of sound is 340"m s"^(-1) )

    A
    `1:0.60`
    B
    `1:0.61`
    C
    `1:0.62`
    D
    `1:0.59`
  • The highest frequency produced by a man is 1700 Hz and that of a woman is 2780 Hz . The ratio of wavelengths of sound of man and woman are (speed of sound is 340 m s^(-1) )

    A
    ` 1 : 0 . 34`
    B
    ` 1 : 0 . 61 `
    C
    ` 1 : 0 . 69`
    D
    ` 1 : 0 . 59`
  • Similar Questions

    Explore conceptually related problems

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

    Find the minimum and maximum wavelengths of sound in water that is in the audible range (20-20000 Hz) for an average human ear. Speed of sound in water = 1450 m s^-1 .

    Audible ranges of frequencies is 20 Hz to 20,000 Hz. Find the range of wavelengths corresponding to this frequency. Given, velocity of sound = 340"m s"^(-1) .

    For the range of frequencies of sound 11 kHz to 11 MHz, find the range of wavelengths of sound at 0^@ C , given the velocity of sound in air as 330 m s^(-1) at 0^@ C.

    Speed of sound in air is 330m//s .Find maximum and minimum wavelength of audible sound in air.