A beam of white light is incident on the surface of a diamond at an angle ( Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are fred = 2.410 for red light and blue 2.450 for blue light. The surrounding air has nair = 1.000. Note that the angles in the figure are not to scale. gure 0₂ Boluc Prod al < 1 of 1 > ▼ Part A Calculate Vred, the speed of red light in the diamond. To four significant figures, c = 2.998 x 108 m/s. Express your answer in meters per second to four significant digits. Ured= Submit Part B Ublue= 197| ΑΣΦ Part C 4 Request Answer Submit Calculate Ublue, the speed of blue light in the diamond. To four significant figures, c = 2.998 x 108 m/s. Express your answer in meters per second to four significant digits. Submit Request Answer - 195| ΑΣΦ ^ → → → PK ? с C www. ? Derive a formula for 6, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of red, blues and 0. Use nair= 1. Note that any trig function entered in your answer must be followed by an argument in parentheses. ▸ View Available Hint(s) 197 ΑΣΦΑ m/s ? m/s
A beam of white light is incident on the surface of a diamond at an angle ( Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are fred = 2.410 for red light and blue 2.450 for blue light. The surrounding air has nair = 1.000. Note that the angles in the figure are not to scale. gure 0₂ Boluc Prod al < 1 of 1 > ▼ Part A Calculate Vred, the speed of red light in the diamond. To four significant figures, c = 2.998 x 108 m/s. Express your answer in meters per second to four significant digits. Ured= Submit Part B Ublue= 197| ΑΣΦ Part C 4 Request Answer Submit Calculate Ublue, the speed of blue light in the diamond. To four significant figures, c = 2.998 x 108 m/s. Express your answer in meters per second to four significant digits. Submit Request Answer - 195| ΑΣΦ ^ → → → PK ? с C www. ? Derive a formula for 6, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of red, blues and 0. Use nair= 1. Note that any trig function entered in your answer must be followed by an argument in parentheses. ▸ View Available Hint(s) 197 ΑΣΦΑ m/s ? m/s
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
Problem 31PQ: Light is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made...
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Concept explainers
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
Question
Transcribed Image Text:A beam of white light is incident on the surface of a diamond at an angle a.(
Figure 1) Since the index of refraction depends on the light's wavelength, the
different colors that comprise white light will spread out as they pass through the
diamond. The indices of refraction in diamond are nred= 2.410 for red light and
nblue = 2.450 for blue light. The surrounding air has nair = 1.000. Note that the
angles in the figure are not to scale.
Figure
Oplue
Ored
α
1 of 1
Part A
Calculate vred, the speed of red light in the diamond. To four significant figures, c = 2.998 × 108 m/s.
Express your answer in meters per second to four significant digits.
VE ΑΣΦ
Ured=
Submit
Part B
Ublue =
Submit
Part C
Calculate blue, the speed of blue light in the diamond. To four significant figures, c = 2.998 × 108 m/s.
Express your answer in meters per second to four significant digits.
—| ΑΣΦ
Request Answer
8 =
Submit
2
Request Answer
?
?
m/s
?
Derive a formula for S, the angle between the red and blue refracted rays in the diamond.
Express the angle in terms of nred, blue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses.
► View Available Hint(s)
— ΑΣΦ
m/s
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