Physics:f/sci.+engrs.,ap Ed.
10th Edition
ISBN: 9781337553469
Author: Jewett, SERWAY
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 34, Problem 55CP
To determine
The law of reflection by using the Fermat’s principle.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The index of refraction of a certain glass is (1.44x10^0). What is the critical angle for
total internal reflection at the glass-air interface? Express your result in degrees with
three significant figures.
Derive the optical law of reflection. Hint: Let light go from the
point A = (x1, Y1) to B = (x2, Y2) via an arbitrary point P =
(x, 0) on a mirror along the x axis. Set dt/dx = (n/c)dD/dx =
0, where D = distance APB, and show that then 0 = 4.
1.
B
I need help with part a and b of this question! Thanks!
For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 51.0 km due east and have it detected by a light sensor that is 129 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor.
(a) Determine the angle that the normal to the mirror should make with respect to due west.
ANS:____º
Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.003°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.
ANS:_____ m
Chapter 34 Solutions
Physics:f/sci.+engrs.,ap Ed.
Ch. 34.3 - Prob. 34.1QQCh. 34.4 - If beam is the incoming beam in Figure 34.10b,...Ch. 34.4 - Light passes from a material with index of...Ch. 34.6 - In photography, lenses in a camera use refraction...Ch. 34.7 - Prob. 34.5QQCh. 34 - Prob. 1PCh. 34 - The Apollo 11 astronauts set up a panel of...Ch. 34 - As a result of his observations, Ole Roemer...Ch. 34 - A dance hall is built without pillars and with a...Ch. 34 - You are working for an optical research company...
Ch. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Two flat, rectangular mirrors, both perpendicular...Ch. 34 - Prob. 9PCh. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - A laser beam is incident at an angle of 30.0 from...Ch. 34 - A ray of light strikes the midpoint of one face of...Ch. 34 - When you look through a window, by what time...Ch. 34 - Light passes from air into flint glass at a...Ch. 34 - You have just installed a new bathroom in your...Ch. 34 - A triangular glass prism with apex angle 60.0 has...Ch. 34 - You are working at your university swimming...Ch. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23PCh. 34 - A light beam containing red and violet wavelengths...Ch. 34 - Prob. 25PCh. 34 - The speed of a water wave is described by v=gd,...Ch. 34 - For 589-nm light, calculate the critical angle for...Ch. 34 - Prob. 28PCh. 34 - A room contains air in which the speed of sound is...Ch. 34 - Prob. 30PCh. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Consider a horizontal interface between air above...Ch. 34 - How many times will the incident beam in Figure...Ch. 34 - Consider a beam of light from the left entering a...Ch. 34 - Why is the following situation impossible? While...Ch. 34 - Prob. 36APCh. 34 - When light is incident normally on the interface...Ch. 34 - Refer to Problem 37 for its description of the...Ch. 34 - A light ray enters the atmosphere of the Earth and...Ch. 34 - A light ray enters the atmosphere of a planet and...Ch. 34 - Prob. 41APCh. 34 - Prob. 42APCh. 34 - Prob. 43APCh. 34 - Prob. 44APCh. 34 - Prob. 45APCh. 34 - As sunlight enters the Earths atmosphere, it...Ch. 34 - A ray of light passes from air into water. For its...Ch. 34 - Prob. 48APCh. 34 - Prob. 49APCh. 34 - Figure P34.50 shows a top view of a square...Ch. 34 - Prob. 51APCh. 34 - Prob. 52CPCh. 34 - Prob. 53CPCh. 34 - Pierre de Fermat (16011665) showed that whenever...Ch. 34 - Prob. 55CPCh. 34 - Suppose a luminous sphere of radius R1 (such as...Ch. 34 - Prob. 57CP
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.Similar questions
- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardN A fish is 3.25 m below the surface of still water. Because of total internal reflection, it is hidden from the view of a fisher in a boat on the water as long as the boat is outside a circle of radius r. The center of the circle is directly above the fish (Fig. P38.16). Find the minimum value of r.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_forward
- Consider a beam of light traveling from a medium with a low index of refraction, n1 , to a new medium with a higher index of refraction, n2. (a) Will total internal reflection be possible in this situation? (b) If so, describe the conditions necessary for it to occur; if not, explain why not.arrow_forwarda. A ray of light starts at position (x,y)=(−3.0,1.0) cm and moves along 35∘ counterclockwise from the +x−axis and intersects a solid glass sphere at point A, then exits the glass sphere at point B. If the center of a glass sphere is at (5.0,0) cm and the radius of the sphere is 7.0 cm, find the locations of point A and B, then draw their normal vector, incident ray, refracted ray, and reflected ray. Use your compass and ruler together with laws of reflection and refraction. please answer question a only. thank you!arrow_forwardExercise 56: An incident ray hits a face of an equilateral prism perpendicularly (figure 4.86). What is the minimum value of the refractive index of the prism if there is total internal reflection on the second face? Answer: 1.15 m *Please show steps and explanation for my understanding. Thank youarrow_forward
- The critical angle for total internal reflection at a turpentine-air interface is 42.8°. A ray traveling in the liquid has an angle of incidence of 32.0° at the interface. What angle does the refracted ray in air make with the normal? O51.3° O 14.7° O 53.0° O 23.8° here to search Larrow_forward(Snell's Law) Let v be the velocity of light in air and w be the velocity of light in water. According to Fermat's principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACB that minimizes the time taken, Find the ratio sin(01) sin(02) in terms of v and w. A C 02 Barrow_forwardA 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 oarrow_forward
- The observer in (Figure 1) is positioned so that the far edge of the bottom of the empty glass (not to scale) is just visible. When the glass is filled to the top with water, the center of the bottom of the glass is just visible to the observer. Find the height, H, of the glass, given that its width is W=5.0cm.arrow_forwardQ1/ Consider a laser cavity consisting of a concave mirror and a convex mirror, separated by 2m as shown in the figure. . Given R1=R2 = 2m, where R1 and R2 are the radii of curvatures of the concave and convex mirrors, respectively. Obtain the matrix representing the ray transformation for one complete round trip in the cavity?arrow_forwardConsider the following situation for the next two problems. A piece of transparent material with unknown index of refraction is immersed in water (n = 1.333). A ray of light propagating within the material strikes the top surface at an angle of 0, = 58° as shown below and undergoes total internal reflection. This is the smallest incident angle for which total internal reflection can occur. The reflected ray then hits the right side of the material and enters the surrounding water at an angle of 0,. Note: Figure not to scale. water 0f 2-15 What is the index of refraction of the transparent material? (± 0.002)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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