College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 22, Problem 26P
* A laser beam is incident at
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9. A ray of light is emitted beneath the surface of a liquid with air above it. The fluid
surface is the xy-plane. The ray emitted from point P(x,y,z) with the coordinates
P(-3,0,-4) (in meters) undergoes total internal reflection at point O(0,0,0). What is
the index of refraction for the liquid? Draw the ray diagram.
Two different glasses - glass A and glass B - are separated by a planar boundary as shown in the figure.
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1
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glass A glass B
5 6 7
x (cm)
8 9
A light ray - shown in the lower left part of the figure approaches and then hits the boundary. Part of the ray reflects back to glass A, part of the ray
enters glass B. The index of refraction of glass A is nA = 1.162. Determine the index of refraction of glass B. (Notice that the lines representing the light
rays travel through grid intersection points.)
Submit Answer Incorrect. Tries 2/99 Previous Tries
A ray is traveling in material a when it reaches an interface with material b, where n < na. If the critical angle for total internal reflection at this interface is erit = 30.0°, what is the ratio of the speed of light in
material a to the speed of light in material b, va/v6?
O 1.6
O 0.50
O 0.25
O 1.0
O o o o
Chapter 22 Solutions
College Physics
Ch. 22 - Prob. 1RQCh. 22 - Review Question 22.2 How can we test the law of...Ch. 22 - Review Question 22.3 Why is the expression light...Ch. 22 -
Review Question 22.4 Why did we study total...Ch. 22 - Review Question 22.5 What is the critical angle...Ch. 22 - Review Question 22.6 Why is the sky blue? Why are...Ch. 22 - Prob. 7RQCh. 22 - 1. How can you convince your friend that a beam of...Ch. 22 - 2. Each point of a light-emitting object
a. sends...Ch. 22 - What is a light ray? a. A thin beam of light b. A...
Ch. 22 - Prob. 5MCQCh. 22 - You fix a point-like light source 3.0m away from a...Ch. 22 - Prob. 7MCQCh. 22 - A light ray travels through air and then passes...Ch. 22 - 9. A right triangular prism sits on a base A...Ch. 22 - 10. A laser beam travels through oil in a...Ch. 22 - Prob. 11MCQCh. 22 - Prob. 12MCQCh. 22 - What effects of light radiation and reflection are...Ch. 22 - Prob. 14CQCh. 22 - Prob. 15CQCh. 22 - Explain how a sundial works (a sundial is just a...Ch. 22 - Prob. 17CQCh. 22 - Prob. 18CQCh. 22 - Prob. 19CQCh. 22 - Prob. 20CQCh. 22 - Prob. 21CQCh. 22 - The visible diameters of the Moon and the Sun are...Ch. 22 - The shadow of the Moon on Earth is 200 km wide....Ch. 22 - Prob. 24CQCh. 22 - 25. During the day, you can see the trees in your...Ch. 22 - 26. You look at a fish underwater Draw a ray...Ch. 22 - 27. Take a pencil and try to touch a penny on the...Ch. 22 - 28. Will a beam of light experience total internal...Ch. 22 - Prob. 29CQCh. 22 - Prob. 30CQCh. 22 - Prob. 31CQCh. 22 - Prob. 32CQCh. 22 - 33. What phenomena can be explained using a wave...Ch. 22 - How is it possible that two different models can...Ch. 22 - Oliver has finished building a wall in a house. He...Ch. 22 - Tree height You are standing under a tree. The...Ch. 22 - Lunar eclipse A lunar eclipse happens when the...Ch. 22 - * Shadows during romantic dinner You and a friend...Ch. 22 - * Pinhole camera (camera obscura) You want to make...Ch. 22 - 6. * Solar eclipse Only observers in a very narrow...Ch. 22 - Prob. 7PCh. 22 - An extended light source can be modeled as a group...Ch. 22 - * You have a small mirror. While holding the...Ch. 22 - Prob. 11PCh. 22 - 12. Design a mirror arrangement so that light from...Ch. 22 - Two mirrors are oriented at right angles. A narrow...Ch. 22 - Prob. 14PCh. 22 - A flat mirror is rotated 17 about an axis in the...Ch. 22 - (a) A laser beam passes from air into a 25 glucose...Ch. 22 - 17. A beam of light passes from glass with...Ch. 22 - A beam of light passes from air into a transparent...Ch. 22 - 19. * Moving laser beam An aquarium open at the...Ch. 22 - **Lifting light You have a V-shaped transparent...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - 23. * BIO Vitreous humor Behind the lens of the...Ch. 22 - Prob. 24PCh. 22 - * Light moving up and toward the right in air...Ch. 22 - * A laser beam is incident at 30 with respect to...Ch. 22 - * Can your light be seen? You swim under water at...Ch. 22 - * Light is incident on the boundary between two...Ch. 22 - 29. Diamond total reflection Determine the...Ch. 22 - Determine the refractive index of a glucose...Ch. 22 - * You wish to use a prism to change the direction...Ch. 22 - * You aim a laser beam (in air) at 80.0 with...Ch. 22 - 33. * Prism total reflection What must be the...Ch. 22 - Gems and critical angles In gemology, two of the...Ch. 22 - (a) The refractive index for the gem aquamarine is...Ch. 22 - 36. * You have three transparent media with...Ch. 22 - 37. (a) Rays of light are incident on a glass-air...Ch. 22 - 42. ** When reaching a boundary between two media,...Ch. 22 - 43. * A laser beam travels from air (n = 1.00)...Ch. 22 - . You sit on a raft and want to orient a mirror so...Ch. 22 - 45. ** Rain sensor Many cars today are equipped...Ch. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - 48. A light ray is incident on a flat piece of...Ch. 22 - 49. * Prism You have a triangular prism made of...Ch. 22 - * You have a candle and a large piece of paper...Ch. 22 - 52. * You place a point-like source of light at...Ch. 22 - 53. ** There is a light pole on one bank of a...Ch. 22 - 54. ** Coated optic fiber An optic fiber of...Ch. 22 - relative to the normal, hits the mirror, reflects,...Ch. 22 - 56. ** A scuba diver stands at the bottom of a...Ch. 22 - Prob. 57RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 60RPPCh. 22 - Prob. 61RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 63RPPCh. 22 - Prob. 64RPPCh. 22 - Rainbows How is a rainbow formed? Recall that the...Ch. 22 - Prob. 66RPPCh. 22 - Prob. 67RPPCh. 22 - Prob. 68RPP
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- A light ray travels from vacuum into a slab of material with index of refraction n1 at incident angle θ with respect to the surface. It subsequently passes into a second slab of material with index of refraction n2 before passing back into vacuum again. The surfaces of the different materials are all parallel to one another. As the light exits the second slab, what can be said of the final angle ϕ that the outgoing light makes with the normal? (a) ϕ > θ (b) ϕ < θ (c) ϕ = θ (d) The angle depends on the magnitudes of n1 and n2. (e) The angle depends on the wavelength of the light.arrow_forwardLight traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardConsider a light ray that enters a pane of glass with air on one side and water on the other side as shown in Figure P38.21. The light ray experiences refraction at the first interface when it enters the glass from the water and again at the second interface when it exits the glass into the air. Assume the index of refraction of the glass is 1.54. For a ray of light, find the angle of incidence 1 in the water such that the ray experiences total internal reflection when it strikes the glassair interface on the other side. FIGURE P38.21arrow_forward
- A Lucite slab (n = 1.485) 5.00 cm in thickness forms the bottom of an ornamental fish pond that is 40.0 cm deep. If the pond is completely filled with water, what is the apparent thickness of the Lucite plate when viewed from directly above the pond?arrow_forwardA person looking into an empty container is able to see the far edge of the containers bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the containers bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by hd=n214n2 (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container.arrow_forwardPierre de Fermat (16011665) showed that whenever light travels from one point to another, its actual path is the path that requires the smallest time interval. This statement is known as Fermats principle. The simplest example is for light propagating in a homogeneous medium. It moves in a straight line because a straight line is the shortest distance between two points. Derive Snells law of refraction from Fermats principle. Proceed as follows. In Figure P34.54, a light ray travels from point P in medium 1 to point Q in medium 2. The two points are, respectively, at perpendicular distances a and b from the interface. The displacement from P to Q has the component d parallel to the interface, and we let x represent the coordinate of the point where the ray enters the second medium. Let t = 0 be the instant the light starts from P. (a) Show that the time at which the light arrives at Q is t=r1v1+r2v2=n1a2+x2c+n2b2+(dx)2c (b) To obtain the value of x for which t has its minimum value, differentiate t with respect to x and set the derivative equal to zero. Show that the result implies n1xa2+x2=n2(dx)b2+(dx)2 (c) Show that this expression in turn gives Snells law. n1sin1=n2sin2 Figure P34.54 Problems 54 and 55.arrow_forward
- Unpolarized light in vacuum is incident onto a sheet of glass with index of refraction n. The reflected and refracted rays are perpendicular to each other. Find the angle of incidence. This angle is called Brewsters angle or the polarizing angle. In this situation, the reflected light is linearly polarized, with its electric field restricted to be perpendicular to the plane containing the rays and the normal.arrow_forward1. A beam of light traveling through a liquid (of index of refraction n1 = 1.42) is incident on a surface at an angle of θ1 = 59° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 65.5° with respect to the normal. n1 = 1.42θ1 = 59°θ2 = 65.5° A) Write an equation for the index of refraction of the second material. b) What is the index of refraction of the second material? c) Numerically, what is the light's velocity in medium 1, in meters per second? d) Numerically, what is the light's velocity in medium 2, in meters per second?arrow_forwardConsider three colorless cube (X, Y and Z) with different refractive indices (nx = 1.1, ny = 2.2 and nz= 3.3, respectively) are all immersed in a liquid with nl = 2.2. Which of the following cubes are invisible? a. X only b. Y only c. Y and Z d. X and Z e. X, Y, and Zarrow_forward
- A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 29.60°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond 2.444, ncrown glass = 1.531), and red (ndiamond 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass. Number i = Units -arrow_forwardThe angle of a prism is A°. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 24 on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index u , of the prism is : a. 2 cos A 1 b. cos A c. tan A d. 2 sin Aarrow_forwarda.Plot a graph of sin r against sin I, draw the best possible straight line b. Determine the refractive index of glass from the graph.arrow_forward
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Laws of Refraction of Light | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4l2thi5_84o;License: Standard YouTube License, CC-BY