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Q.

An electromagnetic wave of frequency 3 MHz passes from Vacuum into a dielectric medium with relative permittivity ∈r = 4.0 Then

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a

wave length doubled and frequency remains unchanged

b

wave length is doubled and frequency becomes half

c

wave length is halved and frequency remains unchanged

d

wave length and frequency both remain unchanged

answer is C.

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Detailed Solution

Frequency of EM wave does not change in medium but wave length and velocity of wave changes.In vacuum, C=1μ0ε0=f λvaccumIn medium, Cmed=1μ0μrε0εr=CμrεrFor dielectric medium, μr=1Cmed=Cεr=C2              ∴εr=4λmed=Cmedf=C2f=λvaccum2
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