As shown in the figure, white light enters a 45-90-45 crown glass prism at the vertical face. Part of this light refracts at the slanted face into the surrounding material and the rest experiences total internal reflection and exits the prism at the horizontal base. The colors of light that emerge from the slanted face may be chosen by varying the index of refraction of the material surrounding the prism. Determine the required index of refraction of the surrounding material for each of the following cases. (a) Only red, orange and yellow light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) (b) All colors except violet, blue, and green light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) The table below shows the different colors of light, their wavelength in a vacuum, and the index of refraction in crown glass. White light Color Red Orange Yellow Green Blue Violet 45 #₁ 11₂ All other colors Orange Red Vacuum Wavelength Index of Refraction in (nm) Crown Glass (nm) 660 1.512 610 580 550 470 410 1.514 1.518 1.519 1.524 1.530

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
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As shown in the figure, white light enters a 45-90-45 crown glass prism at the vertical face. Part of this light refracts at the slanted face into the surrounding material and the rest experiences total internal reflection and exits the prism at the horizontal
base. The colors of light that emerge from the slanted face may be chosen by varying the index of refraction of the material surrounding the prism. Determine the required index of refraction of the surrounding material for each of the following cases.
(a) Only red, orange and yellow light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.)
(b) All colors except violet, blue, and green light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.)
The table below shows the different colors of light, their wavelength in a vacuum, and the index of refraction in crown glass.
White
light
Color
Red
Orange
Yellow
Green
Blue
Violet
45°
11
122
0₁
All other colors
Vacuum Wavelength
(nm)
660
610
580
550
470
410
45°
Orange
Red
Index of Refraction in
Crown Glass (nm)
1.512
1.514
1.518
1.519
1.524
1.530
Transcribed Image Text:As shown in the figure, white light enters a 45-90-45 crown glass prism at the vertical face. Part of this light refracts at the slanted face into the surrounding material and the rest experiences total internal reflection and exits the prism at the horizontal base. The colors of light that emerge from the slanted face may be chosen by varying the index of refraction of the material surrounding the prism. Determine the required index of refraction of the surrounding material for each of the following cases. (a) Only red, orange and yellow light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) (b) All colors except violet, blue, and green light refract from the slanted face of the prism into the surrounding material. (Express your answer to 4 significant figures.) The table below shows the different colors of light, their wavelength in a vacuum, and the index of refraction in crown glass. White light Color Red Orange Yellow Green Blue Violet 45° 11 122 0₁ All other colors Vacuum Wavelength (nm) 660 610 580 550 470 410 45° Orange Red Index of Refraction in Crown Glass (nm) 1.512 1.514 1.518 1.519 1.524 1.530
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