Why is the orientation of the portable radio with respect to the broadcasting station important?

The electric fields of two plane electromagnetic waves in vacuum are given by $\overrightarrow{E}_{1}=E_{0} \hat{j} \cos (\omega t-kx)$ and $\overrightarrow{E}_{2}=E_{0} \hat{k} \cos (\omega t-ky)$. At $t=0$,a particle of charge $q$ is at the origin with a velocity $\overrightarrow{v}=0.8 c \hat{j}$ ($c$ is the speed of light in vacuum). The instantaneous force experienced by the particle is:

$A$ radio can tune into any station in the $6 \text{ MHz}$ to $12 \text{ MHz}$ band. What is the corresponding wavelength band? ( $c = 3 \times 10^{8} \text{ m/s}$ )

An electromagnetic wave travels along the $z$-axis. Which of the following pairs of space and time-varying fields would generate such a wave?

In the propagation of electromagnetic waves,the angle between the direction of propagation and the plane of polarisation is......$^o$.

If the peak value of the magnetic field of an electromagnetic wave is $30 \times 10^{-9} \ T$,then the peak value of the electric field is (in $Vm^{-1}$)