A narrow beam of white light enters a prism made of crown glass at a 45° incident angle, as shown in attached figure 1. At what angles, θR and θV, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Feel free to use the table attached for the indices of refraction as a function of wavelength. How would I derive the outgoing angle as a function of the incoming angle and the index of refraction.

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Chapter1: Units, Trigonometry. And Vectors
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A narrow beam of white light enters a prism made of crown glass at a 45° incident angle, as shown in attached figure 1. At what angles, θR and θV, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Feel free to use the table attached for the indices of refraction as a function of wavelength. How would I derive the outgoing angle as a function of the incoming angle and the index of refraction.

 

As I am struggling with this question, any help would be greatly appreciated :)

Orange 610
nm)
1.332
Green (550
nm)
1.335
Blue (470
nm)
1.338
Medium
Red
Yellow
Violet
(660 nm)
1.331
(580 nm)
1.333
(410 nm)
1.342
Water
Diamond
2.410
2.415
2.417
2.426
2.444
2.458
Glass, crown 1.512
Glass, flint
Polystyrene
Quartz, fused | 1.455
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:Orange 610 nm) 1.332 Green (550 nm) 1.335 Blue (470 nm) 1.338 Medium Red Yellow Violet (660 nm) 1.331 (580 nm) 1.333 (410 nm) 1.342 Water Diamond 2.410 2.415 2.417 2.426 2.444 2.458 Glass, crown 1.512 Glass, flint Polystyrene Quartz, fused | 1.455 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
60°
Incident 45°
light
Red (660 nm)
Violet
60°
60°
(410 nm)
Transcribed Image Text:60° Incident 45° light Red (660 nm) Violet 60° 60° (410 nm)
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