Question

Unpolarized light is incident on a waveguide made of a dense glass (index of refraction n₂ ) that is coated with a layer of quartz (index of refraction n₃). The waveguide is immersed in a medium with index of refraction n_1.

Assume the wavelength of of the incident light is 500 nm, n₁= 1.00, n₂= 1.80 and n₃ = 1.45.

A) The speed of light in the dense glass is most nearly ["2.25", "1.875", "2.00", "1.50", "3.00", "1.67"] x 10⁸ m/s

B) The critical angle for total internal reflection off the dense glass / quartz surface is ["53.7", "63.3", "47.3", "69.0", "56.3"]      

C) For the beam reflecting off the air/dense glass surface to be completely polarized, θ1 would have to be ["58.0", "63.4", "56.3", "47.3", "60.9"]      

D) If the beam reflecting off the air/dense glass surface is completely polarized, the polarization would be ["Both parallel and perpendicular to the surface", "parallel to the surface", "perpendicular to the surface"]      

E) If the angle of incidence  θ1 = 40 degrees, θ2= ["20.9", "25.4", "13.2", "22.5", "28.6"] and θ3 = ["64.6", "67.5", "69.1", "90", "61.4"]      

F) Will the light totally internally reflect and stay in the dense glass or refract into the quartz? ["It will totally reflect", "It will only refract", "", "It will both reflect and refract"]      

Answer 1

Options options in the E) questions for theta 3 values are not correct. I have checked it from many scientific calculators and I found it as wrong. Pls check it again and if u have any doubt then do ask me in the comments. Stay safe and blessed.