Q#$1$:

a$)$ Write an expression for a linearly polarized wave $E(z,t)$ propagating along $+$z direction with plane of vibration $30$ to the zx plane in free space with maximum amplitude $5$ m $.$ What is the state of polarization of $E(z,t)+E(z,t)?$

b$)$ Plot $E(0,t)$ at $t=0s,\frac{T}{4}s,\frac{T}{2}s,3\frac{T}{4}s,$ Ts$.$ Where T is the time period with maximum amplitude $5$ m $,$ show the angle electric vector makes with horizontal axis.

c$)$ If the energy of the wave $E(z,t)$ is $2$ eV $,$ find the frequency, time period, and speed of the wave. Where do this wave fall in the EM spectra?