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JEE Main 202124 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2021 · 24 February · Evening Shift · Physics · Electromagnetic Waves

An electromagnetic wave of frequency 3GHz enters a dielectric...

An electromagnetic wave of frequency 3GHz3GHz enters a dielectric medium of relative electric permittivity 2.252 . 25 from vacuum. The wavelength of this wave in that medium will be _________ ×10−2cm.\times {10}^{- 2}cm .

Correct answer

0

Step-by-step solution

λ\lambda in vacuum =cf=3×1083×109=0.1m= \dfrac{c}{f} = \dfrac{3 \times {10}^{8}}{3 \times {10}^{9}} = 0 . 1m

∴λ∴ \lambda in medium =0.1μ= \dfrac{0 . 1}{\mu}

Where refractive index

μ=μrεr\mu = \sqrt{{\mu}_{r}{ε}_{r}}

Assuming non-magnetic material μr=1{\mu}_{r} = 1

∴μ=2.25=1.5∴ \mu = \sqrt{2 . 25} = 1 . 5

λm=0.11.5=115m=6.67cm{\lambda}_{m} = \dfrac{0 . 1}{1 . 5} = \dfrac{1}{15}m = 6 . 67cm

=667×10−2cm= 667 \times {10}^{- 2}cm

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