A narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as shown below. At what angles, Og and Oy, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Feel free to use the table below for the indices of refraction as a function of wavelength. Show your work to derive the outgoing angle as a function of the incoming angle and the index of refraction. (PHYS 1801 CLO6)

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3. A narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as
shown below. At what angles, Og and by, do the red (660 nm) and violet (410 nm) components
of the light emerge from the prism? Feel free to use the table below for the indices of refraction
as a function of wavelength. Show your work to derive the outgoing angle as a function of the
incoming angle and the index of refraction. (PHYS 1801 CLO6)
60°
Incident
45°
light
Red (660 nm)
Violet
60°
60°
(410 nm)
Orange 610
nm)
1.332
Medium
Red
Yellow
Green (550 Blue (470
nm)
1.335
Violet
(660 nm)
1.331
(580 nm)
1.333
nm)
1.338
(410 nm)
1.342
Water
Diamond
2.410
2.415
2.417
2.426
2.444
2.458
Glass, crown
Glass, flint
Polystyrene
Quartz, fused | 1.455
1.512
1.514
1.518
1.519
1.524
1.530
1.662
1.665
1.667
1.674
1.684
1.698
1.488
1.490
1.492
1.493
1.499
1.506
1.456
1.458
1.459
1.462
1.468
Transcribed Image Text:3. A narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as shown below. At what angles, Og and by, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Feel free to use the table below for the indices of refraction as a function of wavelength. Show your work to derive the outgoing angle as a function of the incoming angle and the index of refraction. (PHYS 1801 CLO6) 60° Incident 45° light Red (660 nm) Violet 60° 60° (410 nm) Orange 610 nm) 1.332 Medium Red Yellow Green (550 Blue (470 nm) 1.335 Violet (660 nm) 1.331 (580 nm) 1.333 nm) 1.338 (410 nm) 1.342 Water Diamond 2.410 2.415 2.417 2.426 2.444 2.458 Glass, crown Glass, flint Polystyrene Quartz, fused | 1.455 1.512 1.514 1.518 1.519 1.524 1.530 1.662 1.665 1.667 1.674 1.684 1.698 1.488 1.490 1.492 1.493 1.499 1.506 1.456 1.458 1.459 1.462 1.468
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