Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 37, Problem 53CP
To determine
To prove: The energy in the central maximum is
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Consider a light wave passing through a slit and propagating
toward a distant screen. Figure P37.53 shows the intensity
variation for the pattern on the screen. Give a mathematical
argument that more than 90% of the transmitted energy is
in the central maximum of the diffraction pattern. Sugges-
tion: You are not expected to calculate the precise percent-
age, but explain the steps of your reasoning. You may use
the identification
1
1
8
Imax
asine
-3T -27 -T
27 37 A
Figure P37.53
||
A quarter-wave plate is made from a material whose indices of refraction for light of free-space wavelength
Ao = 589 nm are n = 1.732 and n = 1.456. What is the minimum necessary thickness of the plate for this
wavelength?
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
1 of 1
d sine
d sine
Review
nstants
Part A
An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe
the first strong interference maximum at an angle 20.5 °. What is the spacing d between the planes of the crystal?
Express your answer in nanometers to four significant figures.
VE ΑΣΦ
?
d =
nm…
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 37.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 37.3 - Cats eyes have pupils that can be modeled as...Ch. 37.3 - Suppose you are observing a binary star with a...Ch. 37.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 37.6 - A polarizer for microwaves can be made as a grid...Ch. 37.6 - Prob. 37.6QQCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - In Figure 37.7, show mathematically how many...
Ch. 37 - Prob. 5PCh. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - Prob. 7PCh. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - What is the approximate size of the smallest...Ch. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Prob. 16PCh. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Prob. 18PCh. 37 - A grating with 250 grooves/mm is used with an...Ch. 37 - Show that whenever white light is passed through a...Ch. 37 - Light from an argon laser strikes a diffraction...Ch. 37 - Prob. 22PCh. 37 - You are working as a demonstration assistant for a...Ch. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33APCh. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - Prob. 35APCh. 37 - Prob. 36APCh. 37 - Prob. 37APCh. 37 - Prob. 38APCh. 37 - Prob. 39APCh. 37 - Prob. 40APCh. 37 - Prob. 41APCh. 37 - Prob. 42APCh. 37 - Prob. 43APCh. 37 - Prob. 44APCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Two closely spaced wavelengths of light are...Ch. 37 - Prob. 50CPCh. 37 - Prob. 51CPCh. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Prob. 53CP
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