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Question

# The electric field part of an electromagnetic wave in a medium is represented by Ex=0;Ey=2.5 NC−1cos[(2π×106 rad s−1)t−(π×10−2 rad m−1)x];Ez=0. Then, the waves is

A
Moving along xdirection with frequency 106 Hz and wavelength 200 m
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B
Moving along ydirection with frequency 2π×106 Hz and wavelength 200 m
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C
Moving along negative x direction with frequency 106 Hz and wavelength 200 m
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D
Moving along xdirection with frequency 106 Hz and wavelength 100 m
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Solution

## The correct option is A Moving along x−direction with frequency 106 Hz and wavelength 200 m The standard equation of electromagnetic wave is, Ey=E0cos(ωt−kx) [along x−direction] The given equation, Ey=2.5 NC−1cos[(2π×106 rad s−1)t−(π×10−2 rad m−1)x] Comparing with standard equation, we get, ω=2πf=2π×106 and k=π×10−2 ⇒f=106 Hz ∵ k=2πλ=π×10−2 m−1 ⇒λ=200 m Hence, the wave is moving along positive x−direction with frequency 106 Hz and wavelength 200 m. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (A) is the correct answer.

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