College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 24, Problem 21P
Thin-film interference
* Oil film on water A thin film of vegetable oil (n = 1.45) is floating on top of water (n = 1.33) Describe in words the processes occurring to a laser beam at the top and bottom surfaces of the oil.
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Question Three
Two aluminium samples, A and B, are to be examined using Bragg reflection. For sample A the first-order
Bragg reflection from (111) planes occurs at an angle of 25°00', while for sample B the first order Bragg
reflection from (111) planes was at 25°20'. Aluminium atoms are 1.8 x 10-10 m diameter and form an
FCC structure. X-radiation of wavelength 1.52 x 10-10 m is used for the analysis of two samples of
aluminium.
Answer the following questions:
(i)
Calculate the lattice parameter of an aluminium atom.
(ii)
Calculate the interplanar distances for the two samples.
(ii)
Which sample shows pure aluminium, and what is the reason for the difference?
(iv)
Mention four uses of pure aluminium.
Using X-ray Diffraction
When an x-ray beam is scattered off the planes of a crystal, the scattered
beam creates an interference pattern. This phenomenon is called Bragg
scattering. For an observer to measure an interference maximum, two
conditions have to be satisfied:
1. The angle of incidence has to be equal to the angle of
reflection.
2. The difference in the beam's path from a source to an
observer for neighboring planes has to be equal to an integer
multiple of the wavelength; that is,
2d sin(0) = mx
for m = 1, 2, ....
The path difference 2d sin(0) can be determined from the diagram (
Figure 1). The second condition is known as the Bragg condition.
Figure
d sine
d sine
1 of 1
Part A
—| ΑΣΦ
d= 0.1339
Submit Previous Answers Request Answer
An x-ray beam with wavelength 0.250 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 21.0°. What
is the spacing d between the planes of the crystal?
Express your answer…
Using X-ray Diffraction
When an x-ray beam is scattered off the planes of a
crystal, the scattered beam creates an interference
pattern. This phenomenon is called Bragg scattering. For
an observer to measure an interference maximum, two
conditions have to be satisfied:
1. The angle of incidence has to be equal to
the angle of reflection.
2. The difference in the beam's path from a
source to an observer for neighboring
planes has to be equal to an integer
multiple of the wavelength; that is,
2d cos(0) = mλ for m = 1, 2,....
The path difference 2d cos(0) can be determined from
the dinaram (Cinuro 11 The cocond condition is known o
3 of 22
Review | Constants | Periodic Table
An x-ray beam with wavelength 0.200 nm is directed at a crystal. As the angle of incidence increases,
you observe the first strong interference maximum at an angle 69.5°. What is the spacing d between
the planes of the crystal?
Express your answer in nanometers to three significant figures.
ΤΟ ΑΣΦ
d =
?
nm
Figure
of
>…
Chapter 24 Solutions
College Physics
Ch. 24 - Review Question 24.1 Explain why we observe...Ch. 24 - Prob. 2RQCh. 24 - Review Question 24.3 How do the locations of the...Ch. 24 - Review Question 24.4 If we look through a grating...Ch. 24 - Review Question 24.5 Equation (24.6),...Ch. 24 - Review Question 24.6 Stars are so far away that...Ch. 24 - Prob. 7RQCh. 24 - Multiple Choice Questions
1. You shine a...Ch. 24 - Multiple Choice Questions When you shine a very...Ch. 24 - Prob. 3MCQ
Ch. 24 - Multiple Choice Questions If you add a third slit...Ch. 24 - Multiple Choice Questions
5. Why don’t two...Ch. 24 - Multiple Choice Questions You shine a laser beam...Ch. 24 - Multiple Choice Questions
7. What does the...Ch. 24 - Prob. 8MCQCh. 24 - Multiple Choice Questions You shine a green laser...Ch. 24 - 10. Describe a double-slit interference experiment...Ch. 24 - You are investigating a pattern produced on a...Ch. 24 - 12. Give examples of phenomena that can be...Ch. 24 - 13. Give examples of phenomena that cannot be...Ch. 24 - Prob. 14CQCh. 24 - 15. Draw a point-like source of light. What is the...Ch. 24 - Draw two coherent light sources next to each...Ch. 24 - 17. Use the wave front representation to explain...Ch. 24 - 18. Use the wave front representation to explain...Ch. 24 - Compare the interference pattern produced by two...Ch. 24 - Draw 10 coherent point-like sources of light...Ch. 24 - If you see green light of 520-nm wavelength when...Ch. 24 - 22. Imagine that you have a very thin uniform oil...Ch. 24 - (a) Draw a picture of what you will see on a...Ch. 24 - Describe three situations that you can analyze...Ch. 24 - Why can you hear a person who is around a corner...Ch. 24 - 26 Astronomers often called the resolution limit...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - Gratings: an application of interference Light of...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
12....Ch. 24 - Gratings: an application of interference Only half...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
18....Ch. 24 - 24.4 Thin-film interference
20. * Representing...Ch. 24 - 24.4 Thin-film interference
21. * Oil film on...Ch. 24 -
24.4 Thin-film interference
22. * Soap bubble 1 ...Ch. 24 - 24.4 Thin-film interference * Soap bubble 2 soap...Ch. 24 - 24.4 Thin-film interference
24. * Thin-film coated...Ch. 24 - Thin-film interference * Thin-film coated glass...Ch. 24 - 24.4 Thin-film interference
26. Two flat glass...Ch. 24 - 24.5 Diffraction of light * Explain diffraction...Ch. 24 - 24.5 Diffraction of light * How did we derive it?...Ch. 24 - 24.5 Diffraction of light
31. * Explain a white...Ch. 24 - 24.5 Diffraction of light Light of wavelength 630...Ch. 24 - 24.5 Diffraction of light * Light of wavelength of...Ch. 24 - 24.5 Diffraction of light * Sound diffraction...Ch. 24 - 24.5 Diffraction of light * Light of wavelength...Ch. 24 - Prob. 36PCh. 24 - 24.6 Resolving power
37. Resolution of telescope ...Ch. 24 - Resolving power * Laser light of wavelength 630 nm...Ch. 24 - Resolving power * Size of small bead Infrared...Ch. 24 - Resolving power * Resolution of telescope How will...Ch. 24 - Resolving power * Detecting visual binary stars...Ch. 24 - Prob. 42PCh. 24 - 24.6 Resolving power
43 * Draw a graphical...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Prob. 48PCh. 24 - Prob. 50PCh. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - * Monochromatic light passes through two slits and...Ch. 24 - 64. Sound from speakers Two stereo speakers...Ch. 24 - Prob. 65GPCh. 24 - 66. Diffraction of water waves entering a harbor ...Ch. 24 - ** Variable thickness wedge A wedge of glass of...Ch. 24 - Prob. 69GPCh. 24 - Looking at Moon rocks You have a home telescope...Ch. 24 - * BIO EST Diffraction-limited resolving power of...Ch. 24 - 72. * Resolving sunspots You are looking at...Ch. 24 - s Mare Imbrium The outermost ring of mountains...Ch. 24 - * Can you see atoms with a light-based microscope?...Ch. 24 - * Detecting insects by diffraction of sound A...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 -
BIO What is 20/20 vision? Vision is often...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY