1. Tardigrade
  2. Question
  3. Physics
  4. An electromagnetic wave going through vacuum is described by E=E0 sin (k x-ω t) . Which of the following is independent of wavelength?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. An electromagnetic wave going through vacuum is described by $E=E_{0} \sin (k x-\omega t) .$ Which of the following is independent of wavelength?

Electromagnetic Waves

Solution:

The angular wave number $k=\frac{2 \pi}{\lambda} ;$ where $\lambda$ is the wavelength.
The angular frequency is $\omega=2 \pi v$.
The ratio $\frac{k}{\omega}=\frac{2 \pi / \lambda}{2 \pi v}$
$=\frac{1}{v \pi}=\frac{1}{c}=$ constant