A mathematical representation of electromagnetic wave is given by the two equations $E = E_{max}\,\, cos (kx -\omega\,t)$ and $B = B_{max} cos\, (kx -\omega\,t),$ where $E_{max}$ is the amplitude of the electric field and $B_{max}$ is the amplitude of the magnetic field. What is the intensity in terms of $E_{max}$ and universal constants $μ_0, \in_0.$
A mathematical representation of electromagnetic wave is given by the two equations $E = E_{max}\,\, cos (kx -\omega\,t)$ and $B = B_{max} cos\, (kx -\omega\,t),$ where $E_{max}$ is the amplitude of the electric field and $B_{max}$ is the amplitude of the magnetic field. What is the intensity in terms of $E_{max}$ and universal constants $μ_0, \in_0.$
- A
$I=\frac{1}{2}\sqrt {\frac{\mu_0}{\in_0}E^2_{max}}$
- B
$I=\frac{1}{2}\sqrt {\frac{\in_0}{\mu_0}E^2_{max}}$
- C
$I=2\sqrt {\frac{\mu_0}{\in_0}E^2_{max}}$
- D
$I=2\sqrt {\frac{\in_0}{\mu_0}E^2_{max}}$
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- [JEE MAIN 2020]