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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The refractive index n of a substance is a dimensionless measure of how much light bends (refracts) when passing from one medium tojanother.
n=
where c is the speed of light in a vacuum (a constant) and v is the speed of light in the medium. For example, the refractive index of diamond is 2.42 which
means that light travels 2.42 times as fast in a vacuum as it does in a diamond.
Snell's law is an equation that relates the indices of refraction of two different mediums to the angle of incidence 0, and angle of refraction 0,. Angles 0, and 0,
are measured from a line perpendicular to the boundary between the two mediums. Use this relationship and the table of refraction indices to complete the
exercises.
n, sin 0,=n2 sin 02
Index of Refraction
Medium
Index
Air
1.00029
Water
1.33
1.36
Acetone
1.38
Human cornea
Glycerin
1.47
2
1.54
Sodium chloride
1.77
Sapphire
2.15
Cubic zirconia
2.42
Diamond
Transcribed Image Text:The refractive index n of a substance is a dimensionless measure of how much light bends (refracts) when passing from one medium tojanother. n= where c is the speed of light in a vacuum (a constant) and v is the speed of light in the medium. For example, the refractive index of diamond is 2.42 which means that light travels 2.42 times as fast in a vacuum as it does in a diamond. Snell's law is an equation that relates the indices of refraction of two different mediums to the angle of incidence 0, and angle of refraction 0,. Angles 0, and 0, are measured from a line perpendicular to the boundary between the two mediums. Use this relationship and the table of refraction indices to complete the exercises. n, sin 0,=n2 sin 02 Index of Refraction Medium Index Air 1.00029 Water 1.33 1.36 Acetone 1.38 Human cornea Glycerin 1.47 2 1.54 Sodium chloride 1.77 Sapphire 2.15 Cubic zirconia 2.42 Diamond
If a beam of light traveling through air enters acetone at an angle of incidence of 37°, what is the angle of refraction? Round to the nearest tenth of a degree.
The angle of refraction 0, is approximately UY:
Transcribed Image Text:If a beam of light traveling through air enters acetone at an angle of incidence of 37°, what is the angle of refraction? Round to the nearest tenth of a degree. The angle of refraction 0, is approximately UY:
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