The propagation constant or the angular wave number is _________t
| The propagation constant or the angular wave number is _________the wavelength of the wave
A. directly proportional
B. directly proportional to the square of
C. inversely proportional
D. inversely proportional to the square of
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
CONCEPT:
- Electromagnetic waves or EM waves: The waves that are formed as a result of vibrations between an electric field and a magnetic field and they are perpendicular to each other and to the direction of the wave is called an electromagnetic wave.
- The accelerating charged particle produces an electromagnetic (EM) wave.
- A charged particle oscillating about an equilibrium position is an accelerating charged particle.
- Electromagnetic waves do not require any matter to propagate from one place to another as it consists of photons.
- They can move in a vacuum.
EXPLANATION:
- The magnetic wave in the positive x-direction is represented by:
\(\Rightarrow \vec B_x = {B_0}\sin \left( {kx - \omega t} \right)\)
- The electric wave in the positive x-direction is represented by:
\(\Rightarrow \vec E_x = {E_0}\sin \left( {kx - \omega t} \right)\)
Where Ex, Bx is the instantaneous values of the fields, Eo, Bo is amplitude of the fields and k = angular wavenumber = \(K = \frac{2\pi}{\lambda}\)
- From above it clear that the propagation constant or the angular wavenumber is inversely proportional to the wavelength of the wave. Therefore option 3 is correct.