What is the dimension of $\frac{1}{\mu_0 \varepsilon_0}$? ($\mu_0 =$ magnetic permeability and $\varepsilon_0 =$ permittivity of free space)

The wavelength of an electromagnetic wave radiated by a charge oscillating with a frequency of $1 \, \text{kHz}$ is ..... $km$.

For a transparent medium,the relative permeability $\mu_{r}$ and relative permittivity $\epsilon_{r}$ are $1.0$ and $1.44$ respectively. The velocity of light in this medium would be,

Show that the average value of radiant flux density $S$ over a single period $T$ is given by $S = \frac{1}{2c\mu_0}E_0^2$.

The electromagnetic flux from the sun reaching the earth is $10^3 \, W/m^2$. The power incident on a roof of dimensions $8 \, m \times 20 \, m$ is ..... $W$.

In a plane electromagnetic wave,the magnetic field is given by $\vec{B} = 3 \times 10^{-7} \sin (100 \pi x + 10^{12} t) \ T$. The wavelength of the wave is (where $x$ is in meters and $t$ is in seconds). (in $m$)