Express your answer in radians. When light propagates through two adjacent mater

Question

Express your answer in radians. When light propagates through two adjacent materials that havedifferent optical properties, some interesting phenomena occur atthe interface separating the two materials. For example, consider aray of light that travels from air into the water of a lake. As theray strikes the air-water interface (the surface of the lake), itis partly reflected back into the air and partlyrefracted or transmitted into the water. This explains whyon the surface of a lake sometimes you see the reflection of thesurrounding landscape and other times the underwatervegetation. These effects on light propagation occur because light travels atdifferent speeds depending on the medium. The index of refractionof a material, denoted by n ,gives an indication of the speed of light in the material. It isdefined as the ratio of the speed of light c in vacuum to the speed v in the material, or n=c/v . 1. What is the critical angle thetacrit for light propagating from a material with index ofrefraction of 1.50 to a material with index of refraction of1.00? Express your answer in radians. thetacrit = ? radians

Explanation / Answer

given refractive index n1 = 1.50 and n2 = 1.00 then critical angle is = sin -1( n2 / n1 )                                    = 41.81 degrees

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