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The electric field part of an electromagnetic wave in a medium is represented by Eₓ = 0; Eᵧ = 2.5 N/C [2π × 10⁶ rad/m] {−(π × 10² rad/s) x}. Eₓ = 0. The wave is:

  1. moving along x direction with frequency 10⁶ Hz and wave length 100 m.
  2. moving along x direction with frequency 10⁶ Hz and wave length 200 m.
  3. moving along x direction with frequency 10⁶ Hz and wave length 200 m.
  4. moving along y direction with frequency 2π × 10⁶ Hz and wave length 200 m.

Correct answer: moving along x direction with frequency 10⁶ Hz and wave length 200 m.

Solution

The wave is moving along the x-direction as the phase term depends on x. The angular frequency ω = π × 10² rad/s gives a frequency f = ω / 2π = 10⁶ Hz. The wave number k = 2π × 10⁶ rad/m gives a wavelength λ = 2π / k = 200 m.

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