For a plane EM wave propagating in x-direction which one of the following combination gives the correct possible direction for electric field E and magnetic field B resp.?

Options

A. `-hatj+ hatk, -hatj-hatk`
B. `-hatj+ hatk, -hatj-hatk`
C. `-hatj+ hatk, -hatj+hatk`
D. `hatj+ hatk, hatj+hatk`

Answer

A

Explanation

`vecE xx vecB = vecv`
Option (a) `vecv= |[hati,hatj,hatk],[0,-1,1],[0,-1,-1]|=hati(2)=2hati`
option (b)` vecv= |[hati,hatj,hatk],[0,1,1],[0,-1,-1]|=0`
option(c) `vevv= |[hati,hatj,hatk],[0,1,1],[0,-1,1]|=0`
Option(d) `vecv= |[hati,hatj,hatk],[0,1,1],[0,1,1]|= 0`