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The phase velocity of a plane wave in a lossless medium is

  • A.\( \sqrt{\mu/\epsilon} \)
  • B.\( \sqrt{\mu\epsilon} \)
  • C.\( \mu\epsilon \)
  • D.\( 1/\sqrt{\mu\epsilon} \)

Answer: D

Dividing the angular frequency by the phase constant gives this result, which in free space is the speed of light. In a dielectric of relative permittivity four and unit permeability it is half that value, so the refractive index is two.

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