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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×10−2)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 x−direction with frequency 106 Hz and wavelength 200 m.Given: Ex=0 Ey=2.5cos[(2π×106)t−(π×10−2)x] Ez=0 On comparing the above equation with, Ey=E0cos(ωt−kx), we get, ω=2π×106 rad/s k=π×10−2 m−1 Also, the wave is moving along x−direction. Further, ω=2πf⇒f=ω2π=2π×1062π=106 Hz Also, k=2πλ⇒λ=2πk=2ππ×10−2=200 m Hence, option (B) is the correct answer.

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