A plane electromagnetic wave propagating in the direction of the unit vector $\hat{ n }$ with a speed $c$ is described by electric and magnetic field vectors $E$ and $B$, respectively. Which of the following relations (in $SI$ units) between $E$ and $B$ can be ruled out on dimensional grounds alone?
A plane electromagnetic wave propagating in the direction of the unit vector $\hat{ n }$ with a speed $c$ is described by electric and magnetic field vectors $E$ and $B$, respectively. Which of the following relations (in $SI$ units) between $E$ and $B$ can be ruled out on dimensional grounds alone?
- [KVPY 2009]
- A
$E =\frac{\hat{ n } \times B }{c}$
- B
$E =-c \hat{ n } \times B$
- C
$B =\frac{\hat{ n } \times E }{c}$
- D
$\hat{n} \times E \times B=0$
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