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Question

The electric field part of an electromagnetic wave in a medium is represented by
Ex=0;Ey=2.5 NC1cos[(2π×106 rad s1)t(π×102 rad m1)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 xdirection with frequency 106 Hz and wavelength 200 m

The standard equation of electromagnetic wave is,

Ey=E0cos(ωtkx) [along xdirection]

The given equation,

Ey=2.5 NC1cos[(2π×106 rad s1)t(π×102 rad m1)x]

Comparing with standard equation, we get,

ω=2πf=2π×106 and k=π×102

f=106 Hz

k=2πλ=π×102 m1

λ=200 m

Hence, the wave is moving along positive xdirection 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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