A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence 0₁ that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁.

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Chapter1: Units, Trigonometry. And Vectors
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10. A light ray of given wavelength, initially in air, strikes a 90°
prism at P (see Fig. 39-53) and is refracted there and at Q to
such an extent that it just grazes the right-hand prism surface
at Q. (a) Determine the index of retraction of the prism for
this wavelength in terms of the angle of incidence , that
gives rise to this situation. (b) Give a numerical upper bound
for the index of refraction of the prism. Show, by ray dia-
grams, what happens if the angle of incidence at P is
(c) slightly greater or (d) slightly less than 0₁.
90
FIGURE 39-53. Problem 10.
Transcribed Image Text:10. A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence , that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁. 90 FIGURE 39-53. Problem 10.
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