An electromagnetic wave of frequency v $$=$$ $$3.0$$ MHz passes from vacuum into a dielectric medium with relative permittivity ∈$$=$$ $$4.0$$. Then

Question

An electromagnetic wave of frequency v $$=$$ $$3.0$$ MHz passes from vacuum into a dielectric medium with relative permittivity ∈$$=$$ $$4.0$$. Then

Infinity Learn · Accepted Answer

Frequency of electromagnetic wave does not change with change in medium but wavelength and velocity of wave changes with change in medium. Velocity of electromagnetic wave in $$vacuumc=1$$μ$$0$$∈$$0=v$$λvacuum                      ......(i)Velocity$$ of electromagnetic wave in the mediumvmedium $$=1$$μ$$0$$μr∈$$0$$ϵ$$r=c$$μr∈rwhere μr and ϵr be relative permeability and relative permittivity of the medium. For dielectric medium, μ$$r=1$$ Here, ∈$$r=4.0$$ ∴  vmedium $$=c$$ϵr                     .........$$(ii)  Wavelength of the wave in medium  λmedium $$=vmedium$$ $$v=c2v=$$λvacuum $$2($$ Using (i) and (ii))

An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into a dielectric medium with relative permittivity $\in$ = 4.0. Then

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An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into a dielectric medium with relative permittivity ∈= 4.0. Then

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An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into a dielectric medium with relative permittivity $\in$ = 4.0. Then