Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 37, Problem 24P
To determine
The angle for beam to be directed for a second order maximum.
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Monochromatic x-rays (λ = 0.166 nm) from a nickel target are incident on a potassium chloride (KCl) crystal surface. The spacing between planes of atoms in KCl is 0.314 nm. At what angle (relative to the surface) should the beam bedirected for a second-order maximum to be observed?
Prove that it is not possible to determine both wavelength of incident radiation and spacing of reflecting planes in a crystal by measuring the Bragg angles for several orders.
What is the smallest Bragg angle for x rays of wavelength 30 pm to reflect from reflecting planes spaced 0.30 nm apart in a calcite crystal?
Chapter 37 Solutions
Physics for Scientists and Engineers
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 - You are walking down a long hallway that has many...Ch. 37 - Heliumneon laser light ( = 632.8 nm) is sent...Ch. 37 - From Equation 37.2, find an expression for the...Ch. 37 - Light of wavelength 540 nm passes through a slit...Ch. 37 - In Figure 37.7, show mathematically how many...
Ch. 37 - Assume light of wavelength 650 nm passes through...Ch. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - A diffraction pattern is formed on a screen 120 cm...Ch. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - The objective lens of a certain refracting...Ch. 37 - Yellow light of wavelength 589 nm is used to view...Ch. 37 - What is the approximate size of the smallest...Ch. 37 - A heliumneon laser emits light that has a...Ch. 37 - To increase the resolving power of a microscope,...Ch. 37 - Prob. 14PCh. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Narrow, parallel, glowing gas-filled tubes in a...Ch. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Three discrete spectral lines occur at angles of...Ch. 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 - A wide beam of laser light with a wavelength of...Ch. 37 - You are working as a demonstration assistant for a...Ch. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Why is the following situation impossible? A...Ch. 37 - The critical angle for total internal reflection...Ch. 37 - For a particular transparent medium surrounded by...Ch. 37 - Prob. 31PCh. 37 - An unpolarized beam of light is incident on a...Ch. 37 - In a single-slit diffraction pattern, assuming...Ch. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - Prob. 35APCh. 37 - Two motorcycles separated laterally by 2.30 m are...Ch. 37 - The Very Large Array (VLA) is a set of 27 radio...Ch. 37 - Two wavelengths and + (with ) are incident on...Ch. 37 - Review. A beam of 541-nm light is incident on a...Ch. 37 - Prob. 40APCh. 37 - Prob. 41APCh. 37 - Prob. 42APCh. 37 - A pinhole camera has a small circular aperture of...Ch. 37 - Prob. 44APCh. 37 - Prob. 45APCh. 37 - (a) Light traveling in a medium of index of...Ch. 37 - The intensity of light in a diffraction pattern of...Ch. 37 - Prob. 48APCh. 37 - Two closely spaced wavelengths of light are...Ch. 37 - A spy satellite can consist of a large-diameter...Ch. 37 - Prob. 51CPCh. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Consider a light wave passing through a slit and...
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- The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.arrow_forwardA parallel beam of light containing orange (610 nm) and violet (4.10wm) wavelengths goes from fused quartz to water, striking the surface between them at a 60.00 incident angle. What is the angle between the two colors in water?arrow_forward
- Monochromatic laser light flows through a small slit in a thin aluminum plate and generates a diffraction pattern on a screen 0.620 m from the slit in a huge vacuum chamber. When the aluminum plate is heated to 20.0C, the width of the diffraction pattern's center maximum is 2.75 mm. When the temperature of the plate is increased to 520.0C, what is the change in the breadth of the center maximum? When the temperature is raised, does the breadth of the center diffraction maximum rise or decrease?arrow_forwardPotassium chloride (KCI) has a set of crystal planes separated by a distance of d= 0.34 nm. At what glancing angle 0 to these planes would the first-order Bragg maximum occur for X-rays of wavelength 0.05 nm?arrow_forwardWhat angular separation is obtained after two spectral lines of 550.0 nm and 632.0 nm areobserved with a diffraction grating that is 4000 groves/mm?.arrow_forward
- Consider a double-slit diffraction experiment with slits of width 0.260 mm. Monochromatic light of wavelength 435 nm is used. If the value of the parameter for a point that is an angular distance of 0.0120 rad from the center of the central diffraction peak is 31.76 rad, what must be the slit separation (in mm)?arrow_forwardA parallel beam of monochromatic light of wavelength 500nm passes through a slit of width 0. 5mm. Find the angular divergence in which most of the light is diffracted.arrow_forwardIf we have two light rays with equal wavelength 470 nm which have a constant path difference of 1645 nm, how will they interfere?arrow_forward
- let a beam of x rays of wavelength 0.125 nm be incident on an NaCl crystal at angle u 45.0° to the top face of the crystal and a family of reflecting planes. Let the reflecting planes have separation d = 0.252 nm. The crystal is turned through angle f around an axis perpendicular to the plane of the page until these reflecting planes give diffraction maxima. What are the (a) smaller and (b) larger value of f if the crystal is turned clockwise and the (c) smaller and (d) larger value of f if it is turned counterclockwise?arrow_forwardIf first-order reflection occurs in a crystal at Bragg angle 3.4°, at what Bragg angle does second-order reflection occur from the same family of reflecting planes?arrow_forward
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