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Wave Number (k) 2pi/lambda = Radians /Unit Distance ?

  1. Oct 9, 2015 #1

    morrobay

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    The wave number k = 2π/λ . But is defined as radians per unit distance. What is the correlation here between the
    wavelength and radians ?
     
  2. jcsd
  3. Oct 9, 2015 #2
    It is not a correlation. It is a definition. The quantity 2π/λ, which occurs in the mathematical description of wave motion, is called the wave number k. If you write a wave function as sin (kx - ωt), the argument of the sine function should be in radians. So k multiplied by x must be in radians. Since x is a distance, k has units of radians per unit distance.
     
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