A laser beam propagating inside a certain medium has a beam radius of r$=0\mathrm{.}5$mm$.$

The electric component of the beam has the form $($in SI units$)$:

E

x $($z$,$t$)=5\mathrm{.}0103$ sin$(6\mathrm{.}28102$

z $+1\mathrm{.}3831011$t$)$ v$/$ma$)(5$ points$)$ What is the speed of this laser beam?

b$)(5$ points$)$ What is its wavelength?

c$)(5$ points$)$ What is its average beam power.

d$)(5$ points$)$ In modern physics, an EM wave can be quantized to a group of

photons. For this EM wave, what is the energy of each photon?