Properties of EM waves

As shown in the figure, after passing through the medium 1. The speed of light $v_2$ in medium 2 will be :

(Given $c=3\times10^8$ ms$^{-1}$)

A plane electromagnetic wave propagating in free space has amplitude of electric field of 900 N/C. The amplitude of magnetic field will be : _______

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is _______ $\times10^7$ m/s.

The relation between $[E]$ and $[B]$ is

The relation between $[\epsilon_0]$ and $[\mu_0]$ is

Magnetic field in a plane electromagnetic wave is given by
$$\vec B=B_0\sin(kx+\omega t)\hat j\ \text{T}$$
Expression for corresponding electric field will be :

Where c is speed of light.

The electric field component of a monochromatic radiation is given by
$$\vec E=2E_0\hat i\cos kz\cos\omega t$$
Its magnetic field $\vec B$ is then given by :

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :

In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation(s) is(are)

An electromagnetic wave travelling in the $x$-direction has frequency of $2\times10^{14}$ Hz and electric field amplitude of 27 Vm$^{-1}$. From the options given below, which one describes the magnetic field for this wave ?

For plane electromagnetic waves propagating in the $z$ direction, which one of the following combination gives the correct possible direction for $\vec E$ and $\vec B$ field respectively ?

Choose the correct statement.

Estimate the wavelength at which plasma reflection will occur for a metal having the density of electrons $N\approx4\times10^{27}\ \mathrm{m^{-3}}$. Take $\varepsilon_0\approx10^{-11}$ and $m\approx10^{-30}$, where these quantities are in proper SI units.