An isosceles right triangular prism is made of crown glass by a refractive index of n = nG = 1.520 for light of wavelength λ = λ0 = 500 nm in free space or air, assuming that the refractive index of air is n0 = 1.0, so that the speed of light in air is precisely c = 299792458.0 m/s. A ray of green light is incident at an angle of θ1 = 30.0° with respect to the usual to the long side of the prism, the first interface.
a) Define the frequency of green light waves, f.
b) Define the period of green light waves, T.
c) Find the speed of green light in crown glass, v = vG.
d) Define the wavelength of green light in crown glass, λG.
e) Find the energy of green light photons, E.
f) At the first interface, find the angle of refraction, θ2.
g) At the second interface, one of the prism's two short sides, find the angle of incidence and reflection, θ3.
h) At the third interface, the other of the prism's two short sides, find the angle of incidence and reflection, θ4.
(i) At the fourth interface, the prism's long side, discover the angle of incidence, θ5.
j) At the fourth interface, find the angle of refraction, θ6.
k) Find the critical angle for total internal reflection, θC.
l) Find if there is total internal reflection at either the first or the second internal reflection.
m) Explain the special property of right triangular prisms.