An optical fiber consists of a core made of flint glass (? core = 1.55) surrounded by a cladding made of crown glass (?  cladding= 1.28). A ray of light in air enters the fiber at an angle ?, with respect to the normal and undergoes a total internal reflection at the core-cladding interface as shown in the following figure. a)Find the critical angle ?c for the core-cladding boundary. b)Calculate the angle of incidence ?1. c) If the angle of incidence ?1 = 65°, will the ray of light undergo total internal reflection at the core-cladding interface? Explain your answer.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter38: Refraction And Images Formed By Refraction
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An optical fiber consists of a core made of flint glass (? core = 1.55) surrounded by a cladding made of crown glass (?  cladding= 1.28). A ray of light in air enters the fiber at an angle ?, with respect to the normal and undergoes a total internal reflection at the core-cladding interface as shown in the following figure.

a)Find the critical angle ?c for the core-cladding boundary.

b)Calculate the angle of incidence ?1.

c)

If the angle of incidence ?1 = 65°, will the ray of light undergo total internal reflection at the core-cladding interface? Explain your answer.

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