The magnetic field of a plane electromagnetic wave is given by $\overrightarrow{B}=2\times {10}^{-8}\sin \left(0.5\times {10}^{3}x+1.5\times {10}^{11}t\right)\hat{\mathrm{j}} \mathrm{T}$. The amplitude of the electric field would be

A beam of light travelling along $X$-axis is described by the electric field $E_y=900\sin \omega \left(t-\frac{x}{c}\right)$. The ratio of electric force to magnetic force on a charge $q$ moving along $Y$-axis with a speed of $3\times {10}^7 \mathrm{m} {\mathrm{s}}^{-1}$ will be :

[Given speed of light $=3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}$ ]

Identify the correct statements from the following descriptions of various properties of electromagnetic waves.

A. In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.

B. The energy in electromagnetic wave is divided equally between electric and magnetic fields.

C. Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of wave.

D. The electric field, magnetic field and direction of propagation of wave must be perpendicular to each other.

E. The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.

Choose the most appropriate answer from the options given below:

Match List - I with List - II

Choose the correct answer from the options given below :

If $\overrightarrow{E}$ and $\overrightarrow{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by:

($\omega -$ angular frequency)

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by

 $E_x=E_0\sin \left(kz-\omega t\right)$

$B_y=B_0\sin \left(kz-\omega t\right)$

Then the correct relation between $E_0$ and $B_0$ is given by