Question

An electromagnetic wave travels in XY plane making an angle 30°
with X-axis. The equation of wave can be?​

Answer 1

Answer:

60°is the correct answer

Answer 2

Given:

An electromagnetic wave travels in XY plane making an angle 30° with X-axis.

To Find:

The equation of wave can be?​

Solution:

Equation of electromagnetic wave travels in XY plane making an angle $\theta$with X-axis is given by -

$\[{\text{E = }}{{\text{E}}_0} {\text{sin(wt - kx cos(}}\theta {\text{) - ky sin(}}\theta {\text{))}}\]$

here, waves makes 30 degree with the x-axis so,

$\theta=\dfrac{\pi}{6}$

therefore, equation of the wave is given by-

$\[\begin{gathered} {\text{E = }}{{\text{E}}_0}{\text{sin(wt - kx cos(}}\tfrac{\pi }{6}{\text{) - ky sin(}}\tfrac{\pi }{6}{\text{))}} \hfill \\ {\text{ = }}{{\text{E}}_0}{\text{sin(wt - }}\dfrac{{\sqrt 3 }}{2}{\text{kx - }}\dfrac{1}{2}{\text{ky)}} \hfill \\ \end{gathered} \]$.