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The speed of the plane wave defined by sin(ωt−kx) is 2.864 × 10⁸ m/s

Speed of a wave

the speed of the plane wave defined by sin(ωt−kx) is v = ω/k where

  • ω = angular frequency of wave and
  • k = wave number of wave

Now ω = 3376.7 Thz = 3376.7 × 10¹² Hz and k = 11.79μm⁻¹ = 11.79 × 10⁶ m⁻¹

So, substituting the values of the variables into v, we have

v = ω/k

v = 3376.7 × 10¹² Hz/11.79 × 10⁶ m⁻¹

v = 286.4 × 10⁶ m/s

v = 2.864 × 10⁸ m/s

The speed of the plane wave defined by sin(ωt−kx) is 2.864 × 10⁸ m/s

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