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20 April, 19:58

Sound waves travel in air at 343 m/s. The lowest frequency one can hear is 25.0 Hz; the highest frequency is 25.0 kHz. Find the wavelength of sound for 25.0 Hz and 25.0 kHz

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  1. 20 April, 20:23
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    13.72 m and 0.01372 m respectively

    Explanation:

    Wavelength: This can be defined as the distance covered in one complete oscillation. The S. I unit of wavelength is meter (m).

    The formula for the speed of a wave is given as

    v = λf ... Equation 1

    Where v = speed of the sound wave, λ = wavelength, f = frequency of the sound wave.

    make λ the subject of the equation,

    λ = v/f ... Equation 2

    For the lowest frequency,

    Given: f = 25 Hz, v = 343 m/s.

    Substitute into equation 2

    λ = 343/25

    λ = 13.72 m.

    For the highest frequency,

    Given: f = 25 kHz = 25000 Hz, v = 343 m/s

    Substitute into equation 2

    λ = 343/25000

    λ = 0.01372 m.

    The wavelength of sound for 25 Hz and 25 kHz = 13.72 m and 0.01372 m respectively
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