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An optical fiber consisting of a core made of glass (n = 1.667) surrounded by a...

An optical fiber consisting of a core made of glass (n = 1.667) surrounded by a crown glass lining (n = 1.523). A ray of light in the air enters the fiber at an angle φ 1 with respect to the normal one. What is φ 1 if this light also affects the core cladding interface at an angle that barely exceeds the critical angle?

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