Give the characteristics of electromagnetic radiation. Give the relation between them.

(N/A) The electromagnetic radiations are characterized by frequency $(\nu)$,wavelength $(\lambda)$,and wave number $(\bar{\nu})$.
$1$. Frequency $(\nu)$: It is defined as the number of waves that pass a given point in one second. The $SI$ unit for frequency is hertz ($Hz$ or $s^{-1}$).
$2$. Wavelength $(\lambda)$: It is the distance between two successive crests or troughs of a wave. Its $SI$ unit is meter $(m)$,though smaller units like $\mathring{A}$,$nm$,or $cm$ are commonly used.
$3$. Wave number $(\bar{\nu})$: It is defined as the number of wavelengths per unit length. Its $SI$ unit is $m^{-1}$,and the commonly used unit is $cm^{-1}$.
In vacuum,all electromagnetic radiations travel at the same speed,known as the speed of light $(c)$,where $c = 3.0 \times 10^{8} \ m \ s^{-1}$.
The relationship between frequency $(\nu)$,wavelength $(\lambda)$,and the speed of light $(c)$ is given by the equation: $c = \nu \lambda$ or $\nu = \frac{c}{\lambda}$.
Additionally,the wave number is related to wavelength as: $\bar{\nu} = \frac{1}{\lambda}$.