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Question

The electric field, which is a part of an electromagnetic wave propagating in a medium, is represented by,

Ex=0

Ey=2.5cos[(2π×106)t(π×102)x]

Ez=0

The wave is -

A
Moving along xdirection with frequency 106 Hz and wavelength 100 m.
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B
Moving along xdirection with frequency 106 Hz and wavelength 200 m.
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C
Moving along negative xdirection with frequency 106 Hz and wavelength 100 m.
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D
Moving along negative xdirection with frequency 106 Hz and wavelength 200 m.
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Solution

The correct option is B Moving along xdirection with frequency 106 Hz and wavelength 200 m.
Given:

Ex=0

Ey=2.5cos[(2π×106)t(π×102)x]

Ez=0

On comparing the above equation with, Ey=E0cos(ωtkx), we get,

ω=2π×106 rad/s

k=π×102 m1

Also, the wave is moving along xdirection.

Further,

ω=2πff=ω2π=2π×1062π=106 Hz

Also,

k=2πλλ=2πk=2ππ×102=200 m

Hence, option (B) is the correct answer.

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