For a wave, displacement amplitude is ${10}^{-8} \mathrm{m}$, density of air $1.3 \mathrm{kg} {\mathrm{m}}^{-3}$, velocity in air $340 \mathrm{m} {\mathrm{s}}^{-1}$ and frequency is $2000 \mathrm{Hz}$. The intensity of wave is:-

Assertion : Displacement current arises on account of change in electric flux.

Reason : $i_d={ϵ}_0\left(\frac{d{\Phi }_E}{dt}\right)$

Assertion: Electromagnetic waves are transverse in nature.

Reason: The electric and magnetic fields of electromagnetic waves are perpendicular to each other and also perpendicular to the direction of wave propagation.

Assertion : In an e.m. wave magnitude of magnetic field vector $\overrightarrow{B}$ is much smaller than the magnitude of vector $\overrightarrow{E}.$

Reason : This is because in an e.m. wave $\frac{E}{B}=c=3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1}.$

The electric field of an electromagnetic wave in free space is given by $\overrightarrow{E}=10\cos \left({10}^{7}t+kx\right)\hat{\mathrm{j}}$ $\mathrm{V} {\mathrm{m}}^{-1},$ where $t$ and $x$ are in seconds and metres respectively. It can be inferred that

(i) the wavelength $\lambda$ is $188.4 \mathrm{m}.$

(ii) the wave number $k$ is $0.33 \mathrm{rad} {\mathrm{m}}^{-1}$

(iii) the wave amplitude is $10 \mathrm{V} {\mathrm{m}}^{-1}$

(iv) the wave is propagating along $+x$ direction

Which one of the following pairs of statements is correct?