College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 23, Problem 91RPP
To determine
The ray, which best represents the path of the incident light through the fish eye lens from the following options.
a. I
b. II
c. III
d. IV
e. V
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Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
For number 11 please sketch the harmonic on graphing paper.
Chapter 23 Solutions
College Physics
Ch. 23 - Review Question 23.1 A mirror is hanging on a...Ch. 23 - Review Question 23.2 You've found a concave...Ch. 23 - Review Question 23.3 You place a concave mirror on...Ch. 23 - Review Question 23.5 Where should you place an...Ch. 23 - Review Question 23.6 If we have a mathematical...Ch. 23 - Review Question 23.7 What is the main difference...Ch. 23 - Review Question 23.8 If a person with normal...Ch. 23 - Review Question 23.9 Why is saying that a...Ch. 23 - Where does the image of an object in a plane...Ch. 23 - Where does the image of an object that is s meters...
Ch. 23 - 3. A plane mirror produces an image of an object...Ch. 23 - A concave mirror can produce an image that is...Ch. 23 - 5. A convex mirror can produce an image that is...Ch. 23 - 6. A virtual image is the image produced
a. on as...Ch. 23 - 7. To see an image of an object that is enlarged,...Ch. 23 - To see an image of an object that is enlarged,...Ch. 23 - Prob. 9MCQCh. 23 - 10. When drawing images of objects produced by...Ch. 23 - 11. The focal length of a glass lens is 10 cm....Ch. 23 - 12. A microbiologist uses a microscope to look at...Ch. 23 - 13. The human eye works in a similar way to which...Ch. 23 - Which of the following changes will result in a...Ch. 23 - When we draw a ray passing through the center of a...Ch. 23 - 16. You run toward a building with walls of a...Ch. 23 - 17. A tiny plane mirror can produce an image...Ch. 23 - Explain how we derived the mirror equation.Ch. 23 - 19. Explain how we derived the thin lens...Ch. 23 - Explain the difference between a real and a...Ch. 23 - You stand in front of a fun house mirror. You see...Ch. 23 - 22. A bubble of air is suspended underwater. Draw...Ch. 23 - 23. A bubble of oil is suspended in water. Draw...Ch. 23 - A typical person underwater cannot focus clearly...Ch. 23 - In a video projector, the picture that appears on...Ch. 23 - The retina has a blind spot at the place where the...Ch. 23 - You need to teach your friend how to draw rays to...Ch. 23 - Place a pencil in front of a plane mirror so that...Ch. 23 - 3.* Use geometry to prove that the virtual image...Ch. 23 - * You are 1.8 m tall. Where should you place the...Ch. 23 - 5. * Two people are standing in front of a...Ch. 23 - 6. * Test an idea Describe an experiment that you...Ch. 23 - * Describe in detail an experiment to find the...Ch. 23 - * Explain with a ray diagram how (a) a concave...Ch. 23 - 9. * Test an idea Describe an experiment to test...Ch. 23 - * Test an idea Describe an experiment to test the...Ch. 23 - 11. * Tablespoon mirror You look at yourself in...Ch. 23 - * Use ray diagrams and the mirror equation to...Ch. 23 - Repeat Problem 23.12 for a convex mirror of focal...Ch. 23 - 14. Use ray diagrams and the mirror equation to...Ch. 23 - 15. * Sinking ships A legend says that Archimedes...Ch. 23 - 16. * EST Fortune-teller A fortune-teller looks...Ch. 23 - * You view yourself in a large convex mirror of...Ch. 23 - * Seeing the Moon in a mirror The Moons diameter...Ch. 23 - 19. * You view your face in a +20-cm focal length...Ch. 23 - 20. * Buying a dental mirror A dentist wants to...Ch. 23 - * Using a dental mirror A dentist examines a tooth...Ch. 23 - * If you place a point-like light source on the...Ch. 23 - 24. * You have a convex lens and a candle....Ch. 23 - 25. * Explain how to draw ray diagrams to locate...Ch. 23 - * Draw ray diagrams to show how a convex lens can...Ch. 23 - 27. * Use a ruler to draw ray diagrams to locate...Ch. 23 - 28. * Repeat the procedure described in Problem...Ch. 23 - 29. * Repeat the procedure described in Problem...Ch. 23 - 30 * Repeat the procedure in Problem 23.27 for the...Ch. 23 - * Partially covering lens Your friend thinks that...Ch. 23 - * Use ray diagrams to locate the images of the...Ch. 23 - 33. *Use ray diagrams to locate the images of the...Ch. 23 - Light passes through a narrow slit, and then...Ch. 23 - * Describe two experiments that you can perform to...Ch. 23 - * Shaving/makeup mirror You wish to order a mirror...Ch. 23 - 37. Dentist lamps Dentists use special lamps that...Ch. 23 - 38. * A large concave mirror of focal length 3.0m...Ch. 23 - 39 * EST Two convex mirrors on the side of a van...Ch. 23 - Camera You are using a camera with a lens of focal...Ch. 23 - 42. * Camera A camera with an 8.0-cm focal length...Ch. 23 - Video projector An LCD video projector (LCD stands...Ch. 23 - Photo of carpenter ant You take a picture of a...Ch. 23 - * Photo of secret document A secret agent uses a...Ch. 23 - 46. * Photo of landscape To photograph a landscape...Ch. 23 - * Make a rough graph of image distance versus...Ch. 23 - * Make a rough graph of linear magnification...Ch. 23 - * Repeat Problem 23.48 for a concave lens of...Ch. 23 - BIO Eye The image distance for the lens of a...Ch. 23 - BIO Lens-retina distance Fish and amphibians...Ch. 23 - BIO Nearsighted and farsighted (a) A woman can...Ch. 23 - * BIO Prescribe glasses A man who can produce...Ch. 23 - 54. * BIO Correcting vision A woman who produces...Ch. 23 - 55. * BIO Where are the far and near points? (a) A...Ch. 23 - * BIO Age-related vision changes A 35-year-old...Ch. 23 - 5.7 Looking at an aphid You examine an aphid on a...Ch. 23 - 58. * Reading with a magnifying glass You examine...Ch. 23 - 59. * Seeing an image with a magnifying glass A...Ch. 23 - * Stamp collector A stamp collector is viewing a...Ch. 23 - * You place a +20-cm focal length convex lens at a...Ch. 23 - 62. * You place a +25-cm focal length convex lens...Ch. 23 - * EST You place a candle 10 cm in front of a...Ch. 23 - 64. * EST Repeat Problem 23.63 for an object...Ch. 23 - ** You measure the focal length of a concave lens...Ch. 23 - 66.** Telescope A telescope consists of a +4.0-cm...Ch. 23 - 67. ** Yerkes telescope The world’s largest...Ch. 23 - * Telescope A telescope consisting of a +3.0-cm...Ch. 23 - 69. *** Design a telescope You are marooned on a...Ch. 23 - * Microscope A microscope has a +0.50-cm objective...Ch. 23 - 71. ** BIO Dissecting microscope A dissecting...Ch. 23 - *** Microscope A microscope has an objective lens...Ch. 23 - 73. ** Microscope Determine the lens separation...Ch. 23 - * Figure P23.75 shows three cases of the primary...Ch. 23 - Prob. 78GPCh. 23 - ** Two-lens camera A two-lens camera (see Figure...Ch. 23 - **You have a small spherically shaped bottle made...Ch. 23 - BIO Find a farsighted person. Design an experiment...Ch. 23 - 82. BIO Find a nearsighted person. Design an...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - BIO Laser surgery for the eye LASIK...Ch. 23 - Prob. 89RPPCh. 23 - Prob. 90RPPCh. 23 - Prob. 91RPPCh. 23 - Prob. 92RPPCh. 23 - Prob. 93RPP
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