A ray of light traveling in air strikes the surface of a certain plastic slab (with unknown index of refraction) at 54.0 degrees with respect to the normal in air. travels in the plastic slab at 23.0 degrees with respect to the normal. Part a: calculate the index of refraction of the plastic material. It the value as odd number Part b: calculate the critical angle of the plastic material in air . Report this numerical value along with your work that lead to it in the even numbered

Consider a layer of oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.40 and the index of refraction for the oil to be 1.34. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?

Consider a fiber like the one sketched below. Take the index of refraction of the core to be n₁ = 1.52 and the index of refraction of the cladding to be n₂ = 1.46. A) What is the critical angle for the core/cladding interface? B) If the input angle from air is 00= 10° Calculate 01. C) If the input angle from air is 80-10° Calculate y. D) If the input angle from air is 00=10° will the ray be guided by the fiber with low loss? E) If the input angle from air is 00=30° Calculate 0₁. F) If the input angle from air is 00=30° Calculate y. G) If the input angle from air is 00=30° will the ray be guided by the fiber with low loss? H) What is the maximum input angle from air for a ray that will be guided with low loss by this fiber?

The absolute index of refraction for a substance is 2.0. In this substance what is the critical angle to get total internal reflection/refraction for light incident on a boundary with air?  Note: speed of light in a vacuum is c = 3x108 m/s