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  • Stuck here, help me understand: An electromagnetic wave of intensity 50Wm-2 enters in a medium of refractive index 'n' without loss. The ratio of the magnitudes of electric fields, and the ratio of the magnitudes of the magnetic fields of the wave

An electromagnetic wave of intensity 50Wm-2 enters in a medium of refractive index 'n' without loss. The ratio of the magnitudes of electric fields, and the ratio of the magnitudes of the magnetic fields of the wave before and after entering into the medium are respectively, given by:

 

  • Option 1)

    \left ( \sqrt{n},\frac{1}{\sqrt{n}} \right )

  • Option 2)

    \left ( \frac{1}{\sqrt{n}},\frac{1}{\sqrt{n}} \right )

  • Option 3)

    \left ( \frac{1}{\sqrt{n}},\sqrt{n} \right )

  • Option 4)

    \left ( \sqrt{n}. \sqrt{n} \right )

Answers (1)

best_answer

 

Relation between Eo and Bo -

E_{o}=c.B_{o}

- wherein

E_{o}= Electric field amplitude

B_{o} = Magnetic field amplitude

C= Speed of light in vacuum

C=\frac{1}{\sqrt{m_{o}\varepsilon _{o}}}

V=\frac{1}{\sqrt{K\varepsilon _{o}m _{o}}} for transparent

medium M_{r}\approx M_{o}

Intensity =\frac{1}{2}\varepsilon _{o}E_{r}^{2}C=\frac{1}{2}\varepsilon _{o}KE^{2}V

\Rightarrow \frac{E_{o}}{E}=\sqrt{n}

Simillarly \frac{B_{o}^{2}C}{2M_{o}}=\frac{B^{2}V}{2M_{o}}

\frac{B_{o}}{B}=\frac{1}{\sqrt{n}}

 

 


Option 1)

\left ( \sqrt{n},\frac{1}{\sqrt{n}} \right )

Option 2)

\left ( \frac{1}{\sqrt{n}},\frac{1}{\sqrt{n}} \right )

Option 3)

\left ( \frac{1}{\sqrt{n}},\sqrt{n} \right )

Option 4)

\left ( \sqrt{n}. \sqrt{n} \right )

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