University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 36.6, Problem 36.6TYU
To determine
The highest-order maximum present in the diffraction pattern.
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You are doing an x-ray diffraction experiment with a crystal in which the atomic planes are 0.200 nm apart. You are using x rays of wavelength 0.0900 nm. What is the highest-order maximum present in the diffraction pattern? (i) Third; (ii) fourth; (iii) fifth; (iv) sixth; (v) seventh.
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Chapter 36 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 36.1 - Can sound waves undergo diffraction around an...Ch. 36.2 - Rank the following single-slit diffraction...Ch. 36.3 - Coherent electromagnetic radiation is sent through...Ch. 36.4 - Suppose two slits, each of width a, are separated...Ch. 36.5 - What minimum number of slits would be required in...Ch. 36.6 - Prob. 36.6TYUCh. 36.7 - Prob. 36.7TYUCh. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. 36.2DQCh. 36 - You use a lens of diameter D and light of...
Ch. 36 - Light of wavelength and frequency f passes...Ch. 36 - In a diffraction experiment with waves of...Ch. 36 - An interference pattern is produced by four...Ch. 36 - Phasor Diagram for Eight Slits. An interference...Ch. 36 - A rainbow ordinarily shows a range of colors (see...Ch. 36 - Some loudspeaker horns for outdoor concerts (at...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...Ch. 36 - Prob. 36.11DQCh. 36 - With which color of light can the Hubble Space...Ch. 36 - At the end of Section 36.4, the following...Ch. 36 - Prob. 36.14DQCh. 36 - Why is a diffraction grating better than a...Ch. 36 - One sometimes sees rows of evenly spaced radio...Ch. 36 - Prob. 36.17DQCh. 36 - Prob. 36.18DQCh. 36 - Ordinary photographic film reverses black and...Ch. 36 - Monochromatic light from a distant source is...Ch. 36 - Parallel rays of green mercury light with a...Ch. 36 - Light of wavelength 585 nm falls on a slit 0.0666...Ch. 36 - Light of wavelength 633 nm from a distant source...Ch. 36 - Diffraction occurs for all types of waves,...Ch. 36 - CP Tsunami! On December 26, 2004, a violent...Ch. 36 - Prob. 36.7ECh. 36 - Monochromatic electromagnetic radiation with...Ch. 36 - Doorway Diffraction. Sound of frequency 1250 Hz...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...Ch. 36 - Red light of wavelength 633 nm from a helium neon...Ch. 36 - Public Radio station KXPR-FM in Sacramento...Ch. 36 - Monochromatic light of wavelength 580 nm passes...Ch. 36 - Monochromatic light of wavelength = 620 nm from a...Ch. 36 - A slit 0.240 mm wide is illuminated by parallel...Ch. 36 - Monochromatic light of wavelength 592 nm from a...Ch. 36 - A single-slit diffraction pattern is formed by...Ch. 36 - Parallel rays of monochromatic light with...Ch. 36 - Number of Fringes in a Diffraction Maximum. In...Ch. 36 - Diffraction and Interference Combined. Consider...Ch. 36 - An interference pattern is produced by light of...Ch. 36 - Laser light of wavelength 500.0 nm illuminates two...Ch. 36 - When laser light of wavelength 632.8 nm passes...Ch. 36 - Monochromatic light is at normal incidence on a...Ch. 36 - If a diffraction grating produces its third-order...Ch. 36 - If a diffraction grating produces a third-order...Ch. 36 - Visible light passes through a diffraction grating...Ch. 36 - The wavelength range of the visible spectrum is...Ch. 36 - (a) What is the wavelength of light that is...Ch. 36 - CDs and DVDs as Diffraction Gratings. A laser beam...Ch. 36 - A typical laboratory diffraction grating has 5.00 ...Ch. 36 - Identifying Isotopes by Spectra. Different...Ch. 36 - The light from an iron arc includes many different...Ch. 36 - If the planes of a crystal are 3.50 (1 = 1010 m...Ch. 36 - Prob. 36.35ECh. 36 - Monochromatic x rays are incident on a crystal for...Ch. 36 - Monochromatic light with wavelength 620 nm passes...Ch. 36 - Monochromatic light with wavelength 490 nm passes...Ch. 36 - Two satellites at an altitude of 1200 km are...Ch. 36 - BIO If you can read the bottom row of your doctors...Ch. 36 - The VLBA (Very Long Baseline Array) uses a number...Ch. 36 - Searching for Planets Around Other Stars. If an...Ch. 36 - Hubble Versus Arecibo. The Hubble Space Telescope...Ch. 36 - Photography. A wildlife photographer uses a...Ch. 36 - Observing Jupiter. You are asked to design a space...Ch. 36 - Coherent monochromatic light of wavelength passes...Ch. 36 - BIO Thickness of Human Hair. Although we have...Ch. 36 - CP A loudspeaker with a diaphragm that vibrates at...Ch. 36 - Laser light of wavelength 632.8 nm falls normally...Ch. 36 - Grating Design. Your boss asks you to design a...Ch. 36 - Measuring Refractive Index. A thin slit...Ch. 36 - Underwater Photography. An underwater camera has a...Ch. 36 - CALC The intensity of light in the Fraunhofer...Ch. 36 - A slit 0.360 mm wide is illuminated by parallel...Ch. 36 - CP CALC In a large vacuum chamber, monochromatic...Ch. 36 - CP In a laboratory, light from a particular...Ch. 36 - What is the longest wavelength that can be...Ch. 36 - It has been proposed to use an array of infrared...Ch. 36 - A diffraction grating has 650 slits/mm. What is...Ch. 36 - Quasars, an abbreviation for quasi-stellar radio...Ch. 36 - A glass sheet is covered by a very thin opaque...Ch. 36 - BIO Resolution of the Eye. The maximum resolution...Ch. 36 - DATA While researching the use of laser pointers,...Ch. 36 - DATA Your physics study partner tells you that the...Ch. 36 - DATA At the metal fabrication company where you...Ch. 36 - Intensity Pattern of N Slits. (a) Consider an...Ch. 36 - CALC Intensity Pattern of N Silts, Continued. Part...Ch. 36 - CALC It is possible to calculate the intensity in...Ch. 36 - Prob. 36.69PPCh. 36 - BRAGG REFLECTION ON A DIFFERENT SCALE. A colloid...Ch. 36 - Prob. 36.71PP
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- As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.arrow_forwardX-rays of wavelength equal to 0.134 nm give a first order diffraction from the surface of a crystal when the value of 0(theta) is 10.5°. Calculate the distance between the planes in the crystal parallel to the surface examined. Should correct with full explanation. (Gpt/Ai wrong answer not allowed)arrow_forwardX - rays of wavelength 0.140 nm are reflected from a certain crystal, and the first - order maximum occurs at an angle of 14.4°. What value does this give for the interplanar spacing of the crystal?arrow_forward
- 4. (a) A laser that emits a diffraction-limited beam (Xo = 632.84 nm), produces a light spot on the surface of the Moon a distance of 376000 km away. How big is the circular aperture of the laser, if the light spot has a radius of 58 km? Neglect any effects of the Earth's atmosphere. (b) Consider a ruby crystal with two energy levels separated by an energy difference corresponding to a free-space wavelength Xo = 694.3 nm, with a Lorentzian lines hape of width Av=330 GHz. The spontaneous lifetime it tsp = 3 ms and the refractive index of ruby is n = 1.76. What value should the population difference N₂ - №₁ assume to achieve a gain coefficient () = 0.5 cm-¹ at the central frequency? (c) How long should the crystal be to provide an overall gain of 10 at the central frequency when y() = 0.5 cm-¹?arrow_forwardC1arrow_forwardYou are given a small bar of an unknown metal. You find the density of the metal to be 11.5 g/cm3. An X-ray diffraction experiment measures the edge of the face-centered cubic unit cell as 4.06 x 10-10 m. Find the gram-atomic weight of this metal and tentatively identify it.arrow_forward
- An electron beam, where all electrons have the same energy of 42.5 eV, strikes perpendicularly on the surface of a crystalline material, causing electrons to scatter from the surface atoms. The order of diffraction m = 2 intensity maximum occurs at an angle of 60.6\ deg relative to the surface normal. a) Calculate the distance between atoms in the surface layer. d = b) Are there any other intensity maxima? 1) Yes. 2) No.arrow_forwardIf an X-ray beam of wavelength 1.4*10-10 m makes an angle of 20 degrees with a set of planes in a crystal causing first order constructive inference, at what angle will the second order line appear? A) 40 degrees B) 20 degrees C) 43 degrees D) 4.0 degrees E) 11 degreesarrow_forwardX-rays of wavelength 0.150 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 15.6°. What value does this give for the interplanar spacing of the crystal? nm Need Help? Read Itarrow_forward
- You are given a small bar of an unknown metal. You find the density of the metal to be 18.6 g/cm3. An x-yar diffraction experiment measures the edge of the face-centered cubic unit cell as 4.13 x 10-10m. Find the atomic weight (in g/mol) of this metal and assess its identity.arrow_forwardPROBLEM For a given x-ray diffraction test (n = 1) on a cubic crystal structure, the recorded diffraction peaks (20) were 24.09°, 34.33°, 42.37°, 49.33°, 55.62°, and 61.48°. The x-ray wavelength used in the test was 0.15418 nm. For this test, determine the crystal structure of the element, the lattice constant, and identify the element.arrow_forwardX-rays of wavelength 0.200 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.6°. What value does this give for the interplanar spacing of the crystal? answer in nmarrow_forward
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