Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 33, Problem 92P
In about A D 150, Claudius Ptolemy gave the following measured values for the angle of incidence θ1 and the angle of refraction θ2 for a light beam passing from air to water:
θ1 | θ2 | θ1 | θ2 |
10° | 8° | 50° | 35° |
20° | 15°30′ | 60° | 40°30′ |
30° | 22°30′ | 70° | 45°30′ |
40° | 29° | 80° | 50° |
Assuming these data are consistent with the law of refraction, use them to find the index of refraction of water. These data are interesting as perhaps the oldest recorded physical measurements.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Snell' Law describes the relationships between the paths taken by the light rays in terms of
the index of refraction and the angles of incidence and refraction: n1sin01 = n2sin02.
Light is incident on an equilateral glass prism at a 45 degree angle to one face. The index of
refraction of the glass prism is 1.58. Using Snell's Law, 02 is equal to *
450
04
02 03
26.59 degrees
O45 degrees
60 degrees
94.41 degrees
O O O
When a ray of light changes media , it will refract (bend). With angles being measured from the normal, the amount of refraction can be found using Snell's Law . Traveling through any medium light will have a speed given by the equation shown where n represents the index of refraction and is the speed of light in a vacuum (3 * 10 ^ 8 * m/c) .
A) In the picture of refraction shown which index of refraction is larger n1 or n2
B)In what medium does the lightbeam shown travel faster
C) Measure the angles, Assuming n1 refers to vaccum what is the value of n2? How fast does light travel within n2?
The speed (V) of light in any transparent material is less than the speed of light c in a vacuum:
V (any transparent material) = c /n, c = 3 x 10 8 m/s, n = index of refraction of a transparent material
What is the speed of light in alcohol? nalcohol = 1.36
Chapter 33 Solutions
Fundamentals of Physics Extended
Ch. 33 - Prob. 1QCh. 33 - Prob. 2QCh. 33 - a Figure 33-27 shows light reaching a polarizing...Ch. 33 - Prob. 4QCh. 33 - In the arrangement of Fig. 33-l5a, start with...Ch. 33 - Prob. 6QCh. 33 - Figure 33-30 shows fays of monochromatic Light...Ch. 33 - Figure 33-31 shows the multiple reflections of a...Ch. 33 - Figure 33-32 shows four long horizontal layers AD...Ch. 33 - The leftmost block in Fig. 33-33 depicts total...
Ch. 33 - Prob. 11QCh. 33 - Prob. 12QCh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - About how far apart must you hold your hands for...Ch. 33 - SSM What inductance must be connected to a 17 pF...Ch. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Sunlight just outside Earths atmosphere has an...Ch. 33 - Prob. 14PCh. 33 - An airplane flying at a distance of 10 km from a...Ch. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Radiation from the Sun reaching Earth just outside...Ch. 33 - ILW What is the radiation pressure 1.5 m away from...Ch. 33 - Prob. 22PCh. 33 - Someone plans to float a small, totally absorbing...Ch. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - The average intensity of the solar radiation that...Ch. 33 - SSM A small spaceship with a mass of only 1.5 103...Ch. 33 - A small laser emits light at power 5.00 mW and...Ch. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - At a beach the light is generally partially...Ch. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - A beam of polarized light is sent into a system of...Ch. 33 - Prob. 42PCh. 33 - A beam of partially polarized light can be...Ch. 33 - Prob. 44PCh. 33 - When the rectangular metal tank in Fig. 33-46 is...Ch. 33 - In Fig. 33-47a, a light ray in an underlying...Ch. 33 - Light in vacuum is incident on the surface of a...Ch. 33 - In Fig. 33-48a, a light ray in water is incident...Ch. 33 - Figure 33-49 shows light reflecting from two...Ch. 33 - In Fig. 33-50a, a beam of light in material 1 is...Ch. 33 - GO In Fig. 33-51, light is incident at angle 1 =...Ch. 33 - In Fig. 33-52a, a beam of light in material 1 is...Ch. 33 - SSM WWW ILW in Fig. 33-53, a ray is incident on...Ch. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Rainbows from square drops. Suppose that, on some...Ch. 33 - A point source of light is 80.0 cm below the...Ch. 33 - The index of refraction of benzene is 1.8. What is...Ch. 33 - SSM ILW In Fig. 33-57, a ray of light is...Ch. 33 - In Fig. 33-58, light from ray A refracts from...Ch. 33 - GO In Fig. 33-59, light initially in material 1...Ch. 33 - GO A catfish is 2.00 m below the surface of a...Ch. 33 - In Fig. 33-60, light enters a 90 triangular prism...Ch. 33 - Suppose the prism of Fig. 33-53 has apex angle =...Ch. 33 - GO Figure 33-61 depicts a simplistic optical...Ch. 33 - Prob. 66PCh. 33 - GO In the ray diagram of Fig. 33-63, where the...Ch. 33 - a At what angle of incidence will the light...Ch. 33 - Prob. 69PCh. 33 - In Fig. 33-64, a light ray in air is incident on a...Ch. 33 - Prob. 71PCh. 33 - An electromagnetic wave with frequency 4.00 1014...Ch. 33 - Prob. 73PCh. 33 - A particle in the solar system is under the...Ch. 33 - SSM In Fig, 33-65, a light ray enters a glass slab...Ch. 33 - Prob. 76PCh. 33 - Rainbow. Figure 33-67 shows a light ray entering...Ch. 33 - The primary rainbow described in Problem 77 is the...Ch. 33 - SSM emerges from the opposite face parallel to its...Ch. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - SSM A ray of white light traveling through fused...Ch. 33 - Three polarizing sheets are stacked. The first and...Ch. 33 - In a region of space where gravirational forces...Ch. 33 - An unpolarized beam of light is sent into a stack...Ch. 33 - SSM During a test, a NATO surveillance radar...Ch. 33 - The magnetic component of an electromagnetic wave...Ch. 33 - Calculate the a upper and b lower limit of the...Ch. 33 - In Fig. 33-71, two light rays pass from air...Ch. 33 - Prob. 91PCh. 33 - In about A D 150, Claudius Ptolemy gave the...Ch. 33 - Prob. 93PCh. 33 - Prob. 94PCh. 33 - Prob. 95PCh. 33 - Prob. 96PCh. 33 - Two polarizing sheets, one directly above the...Ch. 33 - Prob. 98PCh. 33 - Prob. 99PCh. 33 - Prob. 100PCh. 33 - Prob. 101PCh. 33 - Prob. 102PCh. 33 - Prob. 103PCh. 33 - Prob. 104PCh. 33 - Prob. 105PCh. 33 - In Fig. 33-78, where n1 = l.70, n2 = l .50, and n3...Ch. 33 - When red light in vacuum is incident at the...Ch. 33 - Prob. 108PCh. 33 - SSM a Show that Eqs. 33-1 land 33-2 satisfy the...Ch. 33 - Prob. 110P
Additional Science Textbook Solutions
Find more solutions based on key concepts
5. When the phenotype of heterozygotes is intermediate between the phenotypes of the two homozygotes, this patt...
Biology: Life on Earth (11th Edition)
Starting with 10 bacterial cells per milliliter in a sufficient amount of complete culture medium with a 1-hour...
Microbiology with Diseases by Body System (5th Edition)
Which fibrous joints are synarthroses? Which are amphiarthroses?
Principles of Anatomy and Physiology
What is the difference between cellular respiration and external respiration?
Human Physiology: An Integrated Approach (8th Edition)
Explain all answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desig...
Cosmic Perspective Fundamentals
On which of the three maps is the gradient of the main river steepest?
Applications and Investigations in Earth Science (9th Edition)
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
- Light 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_forwardA beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 60° with the normal, and the refracted beam make an angle of 50° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s) Provide the answer: x 108 m/sarrow_forwardPhysics A beam of light strikes the surface of glass (n = 1.46) at an angle of 70 degrees with respect to the normal. Find the angle of refraction inside the glass. Take the index of refraction of air n1 = 1.arrow_forward
- A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction? Calculate to 1decimal.arrow_forwardSnell' Law describes the relationships between the paths taken by the light rays in terms of the index of refraction and the angles of incidence and refraction: n1sin01 = n2sin02. Light is incident on an equilateral glass prism at a 45 degree angle to one face. The index of refraction of the glass prism is 1.58. Using Snell's Law, 02 is equal to 45° 04 02 03arrow_forward2arrow_forward
- The index of refraction is defined to be n = A/B where: A = speed of light in material #1 %3D B = speed of light in material #2 OA = speed of light in vacuum B = speed of light in a material A = speed of light in a material B = speed of light in vacuum A = Square root of [(speed of light in vacuum)2 + (speed of light in a material)2] B = speed of light in a materialarrow_forwardWhy were you not able to calculate ∠i ÷ ∠R or (sin ∠i ) ÷ (sin ∠R) for an angle of incidence of 0°?arrow_forwardA ray of light strikes a thick sheet of glass (n=1.5) at an angle of 25° with the normal. Find the angle of the ray reflected off the glass surface with respect to the normal. O 56° O 46° O 39⁰ O 25°arrow_forward
- A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 19 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, θ2. Part (b) Numerically, what is the angle in degrees? Part (c) Write an expression for the reflection angle ψ, with respect to the surface. Part (d) Numerically, what is this angle in degrees?arrow_forwardA light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (nair ≈1), the angle of reflection is 26.0° and the angle of refraction is 41.0°. What is the index of refraction n of the substance? n =arrow_forwardA beam of light traveling through a liquid (of index of refraction n1 = 1.3) is incident on a surface at an angle of θ1 = 55° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 65° with respect to the normal. Part (a) Write an equation for the index of refraction of the second material. Part (b) What is the index of refraction of the second material? Part (c) Numerically, what is the light's velocity in medium 1, in meters per second? Part (d) Numerically, what is the light's velocity in medium 2, in meters per second?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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Polarization of Light: circularly polarized, linearly polarized, unpolarized light.; Author: Physics Videos by Eugene Khutoryansky;https://www.youtube.com/watch?v=8YkfEft4p-w;License: Standard YouTube License, CC-BY