Write the standard equation for a plane electromagnetic wave traveling in the $x$-direction.

$A$ 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 $c = 3 \times 10^{8} \text{ ms}^{-1}$)

If the magnetic field in a plane progressive wave is represented by the equation $B_{y} = 2 \times 10^{-7} \sin(0.5 \times 10^3 x + 1.5 \pi \times 10^{11} t) \ T$,then the frequency of the wave is (In the equation,time $t$ is in seconds).

The ratio of the magnitude of the magnetic field $(B_0)$ and electric field intensity $(E_0)$ of a plane electromagnetic wave in free space with permeability $\mu_0$ and permittivity $\varepsilon_0$ is (Given that $c$ is the velocity of light in free space):

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

In an apparatus, the electric field was found to oscillate with an amplitude of $18 \text{ V/m}$. The magnitude of the oscillating magnetic field will be: