An electromagnetic wave going through vacuum is described by
E = E0 sin(κx – ωt); B = B0 sin(κx – ωt)
Then
Explanation: The amplitudes of the electric and magnetic fields are
related as
…(i)
where c is the speed of wave and E0 and B0 are the amplitudes of the fields.
The speed of wave is related with its frequency and wavenumber as
…(ii)
where ω is the angular frequency of the wave ( and k is the wavenumber (
) and ν is the frequency and λ is the wavelength of the wave.
From (i) and (ii)
so A. is correct.
B. and C. are invalid relations. Only A. is the correct option.