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Figure shows a ray of light entering one end of an optical
Chapter 26, Problem 112GP(choose chapter or problem)
Figure 26–58 shows a ray of light entering one end of an optical fiber at an angle of incidence \(\theta_{i}=50.0^{\circ}\). The index of refraction of the fiber is 1.62.
(a) Find the angle \(\theta\) the ray makes with the normal when it reaches the curved surface of the fiber.
(b) Show that the internal reflection from the curved sur-
face is total.
Equation Transcription:
Text Transcription:
\theta_{i}=50.0^\circ
\theta
Questions & Answers
QUESTION:
Figure 26–58 shows a ray of light entering one end of an optical fiber at an angle of incidence \(\theta_{i}=50.0^{\circ}\). The index of refraction of the fiber is 1.62.
(a) Find the angle \(\theta\) the ray makes with the normal when it reaches the curved surface of the fiber.
(b) Show that the internal reflection from the curved sur-
face is total.
Equation Transcription:
Text Transcription:
\theta_{i}=50.0^\circ
\theta
ANSWER:
Step 1 of 3
(a)
In the given case, we need to determine the angle that the ray makes with the normal when it reaches the curved surface of the fiber. The angle of incidence is given to be
and index of refraction of fiber is
and air is
.
Using snell’s law, we have
Solving for ,