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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON