If $\mu_{0}$ is permeability of free space and $\varepsilon_{0}$ is permittivity of free space,the speed of light in vacuum is given by

The magnetic field of a plane electromagnetic wave is given by $\vec B = B_0 \hat i \cos(kz - \omega t) + B_1 \hat j \cos(kz - \omega t)$,where $B_0 = 3 \times 10^{-5} \, T$ and $B_1 = 2 \times 10^{-6} \, T$. The rms value of the force experienced by a stationary charge $Q = 10^{-4} \, C$ at $z = 0$ is closest to:

The dimensions of $\frac{1}{{\mu _0}{\varepsilon _0}}$ are .......... .

In a plane electromagnetic wave,$U_E$ and $U_B$ are the average energy densities of the electric field and magnetic field,respectively. Then,which of the following is the correct option?

An $EM$ wave propagating in $x$-direction has a wavelength of $8\,mm$. The electric field vibrating in $y$-direction has a maximum magnitude of $60\,Vm^{-1}$. Choose the correct equations for electric and magnetic fields if the $EM$ wave is propagating in vacuum.

Suppose that the electric field amplitude of an electromagnetic wave is $E_{0} = 120 \; N/C$ and that its frequency is $\nu = 50.0 \; MHz$.
$(a)$ Determine $B_{0}, \omega, k,$ and $\lambda$.
$(b)$ Find expressions for $E$ and $B$.