Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 34, Problem 4P
(a)
To determine
To show: The normal to the mirror makes an angle
(b)
To determine
To show: The reflected laser light makes an angle
(c)
To determine
The angle
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A dance hall is built without pillars and with a horizontal ceiling 7.20 m above the floor. A mirror is fastened flat against one section of the ceiling. Following an earthquake, the mirror is in place and unbroken. An engineer makes a quick check of whether the ceiling is sagging by directing a vertical beam of laser light up at the mirror and observing its reflection on the floor. (a) Show that if the mirror has rotated to make an angle φ with the horizontal, the normal to the mirror makes an angle φ with the vertical. (b) Show that the reflected laser light makes an angle 2φ with the vertical. (c) Assume the reflected laser light makes a spot on the floor 1.40 cm away from the point vertically below the laser. Find the angle φ.
A dance hall is built without pillars and with a horizontal ceiling 7.5 m above the floor. A mirror is fastened flat against one section of the ceiling. Following an earthquake, the mirror is in place and unbroken. An engineer makes a quick check of whether the ceiling is sagging by directing a vertical beam of laser light up at the mirror and observing its reflection on the floor. The reflected laser light makes a spot on the floor 1.6 cm away from the point vertically below the laser showing that the mirror has rotated by angle Φ with respect to the horizon. determine the angle Φ. (Give your answer in decimal with three digits after the decimal point using "degree" as unit.)
Hint: if the mirror rotates by Φ, by how much does the normal to its surface rotate?
Light traveling through an optical fiber (n=1.44) reaches the end of the fiber
and exits into air. (a) If the angle of incidence on the end of the fiber is 30°,
what is the angle of refraction outside the fiber? (b) How would your answer
be different if the angle of incidence were 50°? (c) What would be the speed
of the light in optical fiber? (d) What would be the angle of refraction outside
the fiber into water(refraction index n water = 1.33)?
Chapter 34 Solutions
Physics for Scientists and Engineers with Modern Physics
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 - Prob. 34.4QQCh. 34.7 - Prob. 34.5QQCh. 34 - In an experiment to measure the speed of light...Ch. 34 - Prob. 2PCh. 34 - As a result of his observations, Ole Roemer...Ch. 34 - Prob. 4PCh. 34 - You are working for an optical research company...
Ch. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Prob. 8PCh. 34 - Prob. 9PCh. 34 - A ray of light strikes a flat block of glass (n =...Ch. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - Prob. 13PCh. 34 - Prob. 14PCh. 34 - When you look through a window, by what time...Ch. 34 - Prob. 16PCh. 34 - You have just installed a new bathroom in your...Ch. 34 - Prob. 18PCh. 34 - Prob. 19PCh. 34 - Prob. 20PCh. 34 - Prob. 21PCh. 34 - A submarine is 300 m horizontally from the shore...Ch. 34 - Prob. 23PCh. 34 - Prob. 24PCh. 34 - Prob. 25PCh. 34 - Prob. 26PCh. 34 - Prob. 27PCh. 34 - Prob. 28PCh. 34 - Prob. 29PCh. 34 - Prob. 30PCh. 34 - An optical fiber has an index of refraction n and...Ch. 34 - Prob. 32APCh. 34 - How many times will the incident beam in Figure...Ch. 34 - Prob. 34APCh. 34 - Prob. 35APCh. 34 - Prob. 36APCh. 34 - Prob. 37APCh. 34 - Prob. 38APCh. 34 - Prob. 39APCh. 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 - Prob. 46APCh. 34 - Prob. 47APCh. 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 - Prob. 56CPCh. 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
- The index of refraction for water is about 43. What happens as a beam of light travels from air into water? (a) Its speed increases to 43c, and its frequency decreases. (b) Its speed decreases to 34c, and its wavelength decreases by a factor of 34. (c) Its speed decreases to 34c, and its wavelength increases by a factor of 43. (d) Its speed and frequency remain the same. (e) Its speed decreases to 34c, and its frequency increases.arrow_forwardThe object in Figure P23.52 is mid-way between the lens and the mirror, which are separated by a distance d = 25.0 cm. The magnitude of the mirrors radius of curvature is 20.0 cm, and the lens has a focal length of 16.7 cm. (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (b) Is the image real or virtual? (c) Is it upright or inverted? (d) What is the overall magnification of the image? Figure P23.52arrow_forwardLight travels from air into an optical fiber with an index of refraction of 1.44. (a) If the angle of incidence on the end of the fiber is 22 degree, what is the angle of refraction inside the fiber? (b) Light traveling through an optical fiber (n=1.44) reaches the end of the fiber and exits into air. (a) If the angle of incidence on the end of the fiber is 30 degree, what is the angle of refraction outside the fiber? (c) Calculate the critical angle of optical fiber and air interfacearrow_forward
- In Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28°. The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from na = 1.40 to np = 1.97. What is the speed of light in material 1? 38 28 28° 18° (a) (b) Number Units the tolerance is +/-5%arrow_forwardA spherical mirror is made by silver-coating half of the inside of a sphere of radius R = 20 cm. A light ray moves horizontally 5.0 cm above the axis of the mirror as in Fig.19.23. When reflected from the mirror, how far from the mirror does the ray cross the axis? You will need to use some trigonometry and geometry to solve this problem.arrow_forwardAn engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?arrow_forward
- The intensity of sunlight near the surface of the Earth is approximately 1.00 x 10³ W/m². What would be the side length (m) of a square mirror that would feel a 1.00 N force from sunlight when held so the plane of the mirror was perpendicular to the path of the light? 387 O 193 100 O 261 O 219 O 109 O 202 337 O 134 O 194arrow_forwardA laser beam has a velocity in a vacuum of c = 3 × 108 m/s. A student runs an experiment in which a liquid is placed in a tank of length L = 11.2 m. The time it takes for the beam to make it across the tank is timed to be t = 64 ns. (a) Write an expression for the liquid's index of refraction, n. (b) Numerically, what is this index?arrow_forwardThe critical angle for total internal reflection at a liquid-air interface is 42.5◦.at. If a ray of light traveling in the liquid has an angle of incidence at the interface of 35◦,what angle does the ray refracted in air make with the normal?b. If a ray of light traveling through air has an angle of incidence at the interfaces of 35◦, what angle does the ray refracted in the liquid make with the normal?arrow_forward
- A common trick in fiber optics is to send several colors of light down the same fiber (this is a form of what's called multiplexing). Each color of light can carry a separate signal, letting you squeeze more information into your beam. This, of course, leaves you with the problem of how to separate the colors back out once your beam gets to where its going. One way to do this involves total internal reflection.The index of refraction of glass isn't fixed; it's actually a function of frequency. Specifically, the index of the glass n and the angular frequency ω of the light are related by the equation below. Since different colors of light see different indices of refraction, different colors of light will see different critical angles.Suppose we have a beam with green light (frequency ω=3.7e+15 rad/s and red light (frequency ω=2.9e+15 rad/s traveling through this glass. Eventually, it's going to hit a glass-air boundary. At what angle of incidence θ should the light hit the boundary if…arrow_forwardA common trick in fiber optics is to send several colors of light down the same fiber (this is a form of what's called multiplexing). Each color of light can carry a separate signal, letting you squeeze more information into your beam. This, of course, leaves you with the problem of how to separate the colors back out once your beam gets to where its going. One way to do this involves total internal reflection.The index of refraction of glass isn't fixed; it's actually a function of frequency. Specifically, the index of the glass n and the angular frequency ω of the light are related by (see equation in image). Since different colors of light see different indices of refraction, different colors of light will see different critical angles.Suppose we have a beam with orange light (frequency ω=3.1e+15 rad/s and red light (frequency ω=2.9e+15 rad/s traveling through this glass. Eventually it's going to hit a glass-air boundary. At what angle of incidence θ should the light hit the…arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY