$A$ light wave traveling in air along the $x$-direction is given by $E_{y} = 540 \sin \pi \times 10^{4}(x - ct) \text{ Vm}^{-1}$. Then,the peak value of the magnetic field of the wave will be $\dots \times 10^{-7} \text{ T}$ (Given $c = 3 \times 10^{8} \text{ ms}^{-1}$)

The velocity of an electromagnetic wave in a medium is $2.5 \times 10^{8} \ m/s$. What is the dielectric constant of the medium?

An electromagnetic wave travels in free space along the $x$-direction. At a particular point in space and time, $\vec{B} = 2 \times 10^{-7} \hat{j} \text{ T}$ is associated with this wave. The value of corresponding electric field $\vec{E}$ at this point is . . . . . . $V$/m. (in $\hat{k}$)

In an electromagnetic wave,the amplitude of the electric field is $1 \ V/m$. The frequency of the wave is $5 \times 10^{14} \ Hz$. The wave is propagating along the $z$-axis. The average energy density of the electric field,in $J/m^3$,will be:

Give the relation between vacuum permittivity $(\epsilon_{0})$, vacuum permeability $(\mu_{0})$, and the speed of light $(c)$.

What is the value of the speed of light in free space?