University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 33, Problem 33.46P
(a)
To determine
The critical angle
(b)
To determine
The expression is
(c)
To determine
The value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Optical fibers are constructed with a cylindrical core surrounded by a sheath of cladding material. Common materials used are pure silica (n2 = 1.450) for the cladding and silica doped with germanium (n1 = 1.465) for the core. (a) What is the critical angle θcrit for light traveling in the core and reflecting at the interface with the cladding material? (b) The numerical aperture (NA) is defined as the angle of incidence θi at the flat end of the cable for which light is incident on the core–cladding interface at angle θcrit. Show that sin θi = √(n21 - n22) . (c) What is the value of θi for n1 = 1.465 and n2 = 1.450?
K
A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of
= to find the angle of refraction,
V2
sin 0₁ V₁
y
incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law,
sin 02
where the index of refraction is 1.66.
...
The angle of refraction is approximately degrees.
(Type an integer or decimal rounded to two decimal places as needed.)
Often in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0065 W to reach an intensity of I = 170 W/cm2 by focusing it through a lens of focal length f = 0.11 m. The beam has a radius of r = 0.0011m when it enters the lens. Randomized VariablesP = 0.0065 WI = 170 W/cm2f = 0.11 mr = 0.0011
Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?)
Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f?
Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.…
Chapter 33 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 33.1 - Some crystals are not isotropic: Light travels...Ch. 33.2 - You are standing on the shore of a lake. You spot...Ch. 33.3 - In which of the following situations is there...Ch. 33.5 - You are taking a photograph of a sunlit office...Ch. 33.7 - Sound travels faster in warm air than in cold air....Ch. 33 - Light requires about 8 minutes to travel from the...Ch. 33 - Sunlight or starlight passing through the earths...Ch. 33 - A beam of light goes from one material into...Ch. 33 - Prob. 33.4DQCh. 33 - Prob. 33.5DQ
Ch. 33 - Devise straightforward experiments to measure the...Ch. 33 - Prob. 33.7DQCh. 33 - Prob. 33.8DQCh. 33 - A ray of light in air strikes a glass surface. Is...Ch. 33 - When light is incident on an interface between two...Ch. 33 - A salesperson at a bargain counter claims that a...Ch. 33 - Does it make sense to talk about the polarization...Ch. 33 - How can you determine the direction of the...Ch. 33 - It has been proposed that automobile windshields...Ch. 33 - When a sheet of plastic food wrap is placed...Ch. 33 - If you sit on the beach and look at the ocean...Ch. 33 - When unpolarized light is incident on two crossed...Ch. 33 - For the old rabbit-ear style TV antennas, its...Ch. 33 - In Fig. 33.31, since the light that is scattered...Ch. 33 - You are sunbathing in the late afternoon when the...Ch. 33 - Light scattered from blue sky is strongly...Ch. 33 - Atmospheric haze is due to water droplets or smoke...Ch. 33 - Prob. 33.23DQCh. 33 - Prob. 33.24DQCh. 33 - Prob. 33.25DQCh. 33 - Prob. 33.1ECh. 33 - BIO Light Inside the Eye. The vitreous humor, a...Ch. 33 - A beam of light has a wavelength of 650 nm in...Ch. 33 - Light with a frequency of 5.80 1014 Hz travels in...Ch. 33 - A light beam travels at 1.94 108 m/s in quartz....Ch. 33 - Prob. 33.6ECh. 33 - A parallel beam of light in air makes an angle of...Ch. 33 - Prob. 33.8ECh. 33 - Light traveling in air is incident on the surface...Ch. 33 - (a) A tank containing methanol has walls 2.50 cm...Ch. 33 - Prob. 33.11ECh. 33 - A horizontal, parallel-sided plate of glass having...Ch. 33 - A ray of light is incident on a plane surface...Ch. 33 - Prob. 33.14ECh. 33 - Section 33.3 Total Internal Reflection 33.15Light...Ch. 33 - A flat piece of glass covers the top of a vertical...Ch. 33 - The critical angle for total internal reflection...Ch. 33 - A beam of light is traveling inside a solid glass...Ch. 33 - A ray of light is traveling in a glass cube that...Ch. 33 - Prob. 33.20ECh. 33 - Prob. 33.21ECh. 33 - The indexes of refraction for violet light ( = 400...Ch. 33 - A narrow beam of white light strikes one face of a...Ch. 33 - A beam of light strikes a sheet of glass at an...Ch. 33 - Unpolarized light with intensity I0 is incident on...Ch. 33 - (a) At what angle above the horizontal is the sun...Ch. 33 - A beam of unpolarized light of intensity I0 passes...Ch. 33 - Light of original intensity I0 passes through two...Ch. 33 - A parallel beam of unpolarized light in air is...Ch. 33 - The refractive index of a certain glass is 1.66....Ch. 33 - A beam of polarized light passes through a...Ch. 33 - Three polarizing filters are stacked, with the...Ch. 33 - Unpolarized light of intensity 20.0 W/cm2 is...Ch. 33 - Three Polarizing Filters. Three polarizing filters...Ch. 33 - A beam of white light passes through a uniform...Ch. 33 - A light beam is directed parallel to the axis of a...Ch. 33 - BIO Heart Sonogram. Physicians use high-frequency...Ch. 33 - In a physics lab, light with wavelength 490 nm...Ch. 33 - Prob. 33.39PCh. 33 - Prob. 33.40PCh. 33 - A ray of light traveling in a block of glass (n =...Ch. 33 - A ray of light traveling in air is incident at...Ch. 33 - A glass plate 2.50 mm thick, with an index of...Ch. 33 - After a long day of driving you take a late-night...Ch. 33 - You sight along the rim of a glass with vertical...Ch. 33 - Prob. 33.46PCh. 33 - A thin layer of ice (n = 1.309) floats on the...Ch. 33 - Prob. 33.48PCh. 33 - Prob. 33.49PCh. 33 - Light is incident normally on the short face of a...Ch. 33 - Prob. 33.51PCh. 33 - Prob. 33.52PCh. 33 - Prob. 33.53PCh. 33 - Prob. 33.54PCh. 33 - Prob. 33.55PCh. 33 - A thin beam of white light is directed at a flat...Ch. 33 - DATA In physics lab, you are studying the...Ch. 33 - Prob. 33.58PCh. 33 - DATA A beam of light traveling horizontally is...Ch. 33 - Prob. 33.60CPCh. 33 - Prob. 33.61CPCh. 33 - First, light with a plane of polarization at 45 to...Ch. 33 - Next unpolarized light is reflected off a smooth...Ch. 33 - To vary the angle as well as the intensity of...
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
- A flat piece of glass covers the top of a vertical cylinder that is completely filled with water. If a ray of light traveling in the glass is incident on the interface with the water at an angle of θa = 36.2°, the ray refracted into the water makes an angle of 49.8o with the normal to the interface. What is the smallest value of the incident angle ua for which none of the ray refracts into the water?arrow_forwardNumerical Aperture of an optical fibre is (57.525). If the refractive index of the cladding of this fibre are (57.55), find the refractive index of the core?arrow_forwardOften in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0015 W to reach an intensity of I = 350 W/cm2 by focusing it through a lens of focal length f = 0.15 m. The beam has a radius of r = 0.0011 m when it enters the lens.Randomized VariablesP = 0.0015 WI = 350 W/cm2f = 0.15 mr = 0.0011 m Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?) Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f? Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.arrow_forward
- In the figure, light from ray A refracts from material 1 (n₁ = 1.73) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.40). (a) What is the value of incident angle BA? (b) If 8A is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle Og? (d) If Og is decreased, does part of the light refract into material 3? OB I ng no 121arrow_forwardA prism is made of glass of unknown refractive index. A parallel beam of light is incident on a face of the prism. The angle of minimum deviation is measured to be 40°. What is the refractive index of the material of the prism? The refracting angle of the prism is 60°. If the prism is placed in water (refractive index 1.33), predict the new angle of minimum deviation of a parallel beam of light.arrow_forwardThe glass core of an optical fiber has index of refraction 1.60. The index of refraction of the cladding is 1.48. What is the maximum angle between a light ray and the wall of the core if the ray is to remain inside the core?arrow_forward
- The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. A) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 51.0°? B) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?arrow_forwardA fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38. What is the maximum incident angle, 0, so that the light ray is totally internally reflected inside the fiber?arrow_forwardAn optical cable in air is orientated horizontally. The cable has a core and a cladding layer. The index of refraction for the core is 1.3 and the index of refraction for the cladding layer is 1.2. A light ray enters the center of the cable with an incident angle ß=58°. The ray is subsequently refracted at the core-cladding interface and the cladding-air interface. The angle between the exit ray and the cable wall is a. What is the angle a? The index of refraction of air is 1. ←cladding -corearrow_forward
- A plastic-coated window consists of Perspex and glass. At the Perspex to glass interface, the angle of refraction is 30.00degrees. and the angle of incidence is 20.00degrees. If the refractive index of the glass is 1.75, what is the refractive index of the Perspex?arrow_forwardFiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core (ncore = 1.482 ) and the cladding (ncladding = 1.44). Numerically, what is the largest angle (in degrees) a ray will make with respect to the interface of the fiber θmax, and still experience total internal reflection?arrow_forwardThe index of refraction of the core of a piece of fiber optic cable is 1.72. If the index of the surrounding cladding is 1.41, what is the critical angle for total internal reflection for a light ray in the core incident on the core-cladding interface? a 55.1° b 44.0⁰ c 49.6° d 60.6°arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
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
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