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.

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