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.