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9 December, 07:28

If y = 0.02 sin (20x - 400t) (SI units), the wave number is

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  1. 9 December, 09:03
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    20 (1/m)

    Explanation:

    Hi there!

    The wavenumber k is related to the wavelength λ as:

    k = 2π/λ

    It appears in wave equations as the argument of the sine or cosine functions and is multiplied by a distance.

    In the given equation, if the distance is x, the number 20 must have dimentions of 1/D (D = = distance) which are the dimentions of the wavenumber, if considering SI units, the units of x must be meters, therefore, the units of the wavenumber must be 1/meters

    The wavenumber must be: 20 (1/m)
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