An electric charge $+ q$ moves with velocity $\overrightarrow V  = 3\hat i + 4\hat j + \hat k$ in an electromagnetic field given by :  $\overrightarrow E  = 3\hat i + \hat j + 2\hat k$ and $\overrightarrow B  = \hat i + \hat j – 3\hat k$. The $y-$ component of the force experienced by $+ q$ is :-

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:

Which of the following is $NOT$ true for electromagnetic waves ?

A plane electromagnetic wave in a non-magnetic dielectric medium is given by $\vec E\, = \,{\vec E_0}\,(4 \times {10^{ – 7}}\,x – 50t)$ with distance being in meter and time in seconds. The dielectric constant of the medium is

A light beam is described by $E=800 \sin \omega\left(t-\frac{x}{c}\right)$

An electron is allowed to move normal to the propagation of light beam with a speed of $3 \times 10^{7}\;{ms}^{-1}$. What is the maximum magnetic force exerted on the electron ?