The electric field part of an electromagnetic
wave in a medium is represented by Ex=0;Ey=2.5Nccos[(2π×106)t−(π×10−2)x];Ez=0;
By the above characteristic, the wave is
A
moving along x direction with frequency 106Hz and wavelength 100m.
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B
moving along x direction with frequency 106Hz and wavelength 200m.
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C
moving along y direction with frequency 106Hz and wavelength 100m.
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D
moving along y direction with frequency 2π×106Hz and wavelength 200m.
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Solution
The correct option is A moving along x direction with frequency 106Hz and wavelength 100m. Ey=2.5Nc{(2π×106)t−(π×106)x};Ez=0
The wave is moving in the positive direction of x. This is the form Ey=E0(wt−kx)ω=2π×106rads−12πv=2π×106rads−1⇒v=106s−12πλ=k⇒2πλ=π×10−2⇒λ=2ππ×10−2=200m.