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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Wavelength is doubled and frequency becomes half.

Wavelength is halved and frequency remains unchanged.

Wavelength and frequency both remain unchanged.

Wavelength is doubled and frequency unchanged.

answer is B.

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Detailed Solution

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=1μ0∈0=vλvacuum ......(i)Velocity of electromagnetic wave in the mediumvmedium =1μ0μr∈0ϵr=cμr∈rwhere μr and ϵr be relative permeability and relative permittivity of the medium. For dielectric medium, μr=1 Here, ∈r=4.0 ∴ vmedium =cϵr .........(ii) Wavelength of the wave in medium λmedium =vmedium v=c2v=λvacuum 2( Using (i) and (ii))

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