Atmospheric conditions affect ......... space waves.

$A$ charged particle oscillates about its mean equilibrium position with a frequency of $10^9 \; Hz$. What is the frequency of the electromagnetic waves produced by the oscillator?

The electric field of a plane electromagnetic wave in a medium is given by $\vec{E}(x, y, z, t) = E_0 \hat{n} e^{i k_0[(x+y+z)-ct]}$, where $c$ is the speed of light in free space. The $\vec{E}$ field is polarized in the $x-z$ plane. If the speed of the wave in the medium is $v$, then:

$A$ radio receiver antenna that is $2 \, m$ long is oriented along the direction of the electromagnetic wave and receives a signal of intensity $5 \times 10^{-16} \, W/m^2$. The maximum instantaneous potential difference across the two ends of the antenna is

Which of the following do not require a medium for transmission?

$A$ plane electromagnetic wave is propagating along the direction $\frac{\hat{i}+\hat{j}}{\sqrt{2}},$ with its polarization along the direction $\hat{k}$. The correct form of the magnetic field of the wave would be (here $B_{0}$ is an appropriate constant)