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23. [-/6 Points] DETAILS SERCP11 22.4.P.033.MI. A ray of light strikes the midpoint of one face of an equiangular (608-609-60) glass prism (n = 1.5)

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23. [-/6 Points] DETAILS SERCP11 22.4.P.033.MI. A ray of light strikes the midpoint of one face of an equiangular (608-609-60") glass prism (n = 1.5) at an angle of incidence of 36.40 (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface. First surface: incidence refraction Second surface: incidence refraction (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. reflection (first surface) reflection (second surface)24. [-/1 Points] DETAILS SERCP11 22.7.OP.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A glass optical fiber "captures" a ray of light by imposing total internal reflection upon that ray, many times over. Once inside the glass, such a ray will undergo total internal reflection if it strikes the boundary between glass and air at an angle of incidence that is greater than the critical angle. Suppose that an optical fiber is flat on one end, with the end surface at right angles to the fiber's long axis, as shown. A light ray is directed toward the center of the flat surface at the end of this fiber, at an incidence angle @, with respect to the normal, as shown. The ray refracts toward the central axis of the fiber (here a dashed line) as it enters the glass. It then reaches the outer edge of the fiber. What is the greatest value (in degrees) for @; that will allow total internal reflection to occur at the outer edge? (Assume that the fiber material has an index of refraction of 1.26, and that air surrounds the fiber.)25. [-/1 Points] DETAILS SERCP11 22.7.OP.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An optician directs a beam of light through a transparent medium, toward one surface of an equilateral prism. (The beam travels, and remains in, the plane of the page.) Incident on Surface 1 at an angle @, the beam then encounters Surface 2 from within the prism. If the angle of incidence at Surface 2 equals @, the critical angle for this prism, what is the original incidence angle, @, (in degrees)? The critical angle in this case is 0 = 42.50. Surface 1 60.09 42.50 42.50 Surface 2

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