An electromagnetic wave going through vacuum is described by
E = E0sin (κx – ωt).
Which of the following is/are independent of the wavelength?
Explanation:
Given: The equation of an electromagnetic wave is given as
where E0 is the amplitude of the electric field, k is the wave number
of the wave , λ is the wavelength, ω is the angular frequency
of the wave and t is the time. The frequency of the wave
is .
A. is k which is equal to and is dependent on λ so A. is
incorrect.
B is ω which is . If the speed of the wave is c, then
, so ω becomes
, hence B. in incorrect.
C. is , substituting the values of ω and k we get
=which is
independent of wavelength so C. in correct.
D. is kω, using the values of k and ω, which is
dependent on wavelength so D. is in incorrect.