First slide
Nature of electromagnetic wave
Question

A plane electromagnetic wave

Ez = 100 cos 6 × 108 t + 4x V/m

propagates in a medium of dielectric constant. The refractive index of the medium is

Easy
Solution

Comparing the given equation with equation of plane electromagnetic wave, Ez = E0 cos (ωt + kx) we have ω = 6 × 108  and  k = 4

Velocity of light in medium

v=ωk=6×1084=32×108m/s

Refractive index, μ = cv=3 × 108(3/2) × 108=2

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