Given below are two statements:

Statement $I$ : Electromagnetic waves are not deflected by electric and magnetic field.

Statement $II$ : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as $E _0=\sqrt{\frac{\mu_0}{\varepsilon_0}} B_0$

In the light of the above statements, choose the correct answer from the options given below:

  • [JEE MAIN 2023]
  • A

    Statement $I$ is true but statement $II$ is false 

  • B

    Both Statement $I$ and Statement $II$ are true

  • C

    Statement $I$ is false but statement $II$ is true.

  • D

    Both Statement $I$ and Statement $II$ are false.

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Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by ${E}=20 \cos \left(2 \times 10^{10} {t}-200 {x}\right) \,{V} / {m} .$ The dielectric constant of the medium is equal to :

(Take $\mu_{{r}}=1$ )

  • [JEE MAIN 2021]

Which of the following statement is false for the properties of electromagnetic waves ?

The speed of electromagnetic radiation in vacuum is

During the propagation of electromagnetic waves in a medium

  • [JEE MAIN 2014]

A radiation is emitted by $1000\, W$ bulb and it generates an electric field and magnetic field at $P$, placed at a distance of $2\, m$. The efficiency of the bulb is $1.25 \%$. The value of peak electric field at $P$ is $x \times 10^{-1} \,V / m$. Value of $x$ is. (Rounded-off to the nearest integer)

[Take $\varepsilon_{0}=8.85 \times 10^{-12} C ^{2} N ^{-1} m ^{-2}, c =3 \times 10^{8}$ $ms ^{-1}$ ]

  • [JEE MAIN 2021]