Electromagnetic waves are transverse in nature is evident by
Answers
ELectromagentic waves are said to be transverse in nature because the electric feild and magnetic feild are observed to be perpendicular to the direction of propgation.
We can consider the electric and magnetic feild to be propgating sinusoidaly with respect to the x axis independant of both the y and z axes
On placing a parallopiped with its sides parallel to the x,y, and z axes repsectively in th path of propogation of the EM wave, we know that no charge will be stored in the parallopiped.
Applying the gauss' law on the parallelopides,
the integral of E.dS = 0 (q/E0)
this is observed to be true wherever we place the parallopiped on the x axis.
Hence the component of the elctric feild on the x axis is static, which indicates the presence of an electromagnetic wave,
and the compoenent in the x direction, which is the direction of propogation is 0
similarly, we can apply the gauss' law for magnetism on the magnetic feild, and show that the component of the magnetic feild in the x direction is also 0,
hence proving that both the electric and magnetic feilds have no component in the direction of propogation and hence are perpendicular to each other.