Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 32, Problem 20E
To determine
The second-order angular separation of the two wavelengths
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The second-order diffraction (n=2) for a gold crystal is at an angle of 22.50 for X-rays of 154 pm. What is the spacing between these crystal planes?
Chapter 32 Solutions
Essential University Physics (3rd Edition)
Ch. 32.1 - Laser light is split into two beams, one of which...Ch. 32.2 - If you increase the slit separation in a two-slit...Ch. 32.4 - If you photographed the soap film in Fig. 32.14...Ch. 32.5 - A classmate down the hall is playing obnoxiously...Ch. 32.6 - You're a biologist trying to resolve details of...Ch. 32 - A prism bends blue light more than red. Is the...Ch. 32 - Prob. 2FTDCh. 32 - Prob. 3FTDCh. 32 - Why don't you see interference effects between the...Ch. 32 - You can hear around corners, but you cant see...
Ch. 32 - In deriving the intensity in double-slit...Ch. 32 - The primary maxima in multiple-slit interference...Ch. 32 - Prob. 8FTDCh. 32 - Sketch roughly the diffraction pattern you would...Ch. 32 - A double-slit system is used to measure the...Ch. 32 - A double-slit experiment with d = 0.025mm and L =...Ch. 32 - A double-slit experiment has slit spacing 0.12 mm....Ch. 32 - The interference pattern from two slits separated...Ch. 32 - The 546-nm green line of gaseous mercury falls on...Ch. 32 - In a five-slit system, how many minima lie between...Ch. 32 - In a three-slit system, the first minimum occurs...Ch. 32 - A five-slit system with 7.5-m slit spacing is...Ch. 32 - Green light at 520 nm is diffracted by a grating...Ch. 32 - Light is incident normally on a grating with...Ch. 32 - Prob. 20ECh. 32 - Find the minimum thickness of a soap film (n =...Ch. 32 - Light of unknown wavelength shines on a precisely...Ch. 32 - Monochromatic light shines on a glass wedge with...Ch. 32 - White light shines on a 75.0-nm-thick sliver of...Ch. 32 - For the soap film described in Conceptual Example...Ch. 32 - For what ratio of slit width to wavelength will...Ch. 32 - Light with wavelength 633 nm is incident on a...Ch. 32 - Youre inside a metal building that blocks radio...Ch. 32 - Find the intensity as a fraction of the central...Ch. 32 - Prob. 30ECh. 32 - Find the minimum telescope aperture that could...Ch. 32 - Whats the longest wavelength of light you could...Ch. 32 - In bright light, the human eyes pupil diameter is...Ch. 32 - Find the angular position of the second-order...Ch. 32 - A double-slit experiment has slit spacing 0.035nm,...Ch. 32 - For a double-slit system with slit spacing 0.0525...Ch. 32 - A screen 1.0 m wide is 2.0 m from a pair of slits...Ch. 32 - A tube of glowing gas emits light at 550 nm and...Ch. 32 - On the screen of a multiple-slit system, the...Ch. 32 - Youre designing a spectrometer whose...Ch. 32 - For visible light with wavelengths from 400 nm to...Ch. 32 - Find the total number of lines in a 2.5-cm-wide...Ch. 32 - What order is necessary to resolve 647.98-nm and...Ch. 32 - A thin film of toluene (n = 1.49) floats on water....Ch. 32 - NASA asks you to assess the feasibility of a...Ch. 32 - In the second-order spectrum from a diffraction...Ch. 32 - Prob. 47PCh. 32 - As a soap bubble with n = 1.333 evaporates and...Ch. 32 - An oil film with refractive index 1.25 floats on...Ch. 32 - The table below lists the angular positions of the...Ch. 32 - Two perfectly flat glass plates are separated at...Ch. 32 - An air wedge like that of Fig. 32.28 shows N...Ch. 32 - A Michelson interferometer uses light from glowing...Ch. 32 - Find the wavelength of light used in a Michelson...Ch. 32 - One arm of a Michelson interferometer is 42.5 cm...Ch. 32 - Your stereo is in a dead spot caused by direct...Ch. 32 - A proposed star wars antimissile laser is to focus...Ch. 32 - Suppose one of the 10-m-diameter Keck Telescopes...Ch. 32 - A camera has an f/1.4 lens, meaning the ratio of...Ch. 32 - The CIA wants your help identifying individual...Ch. 32 - While driving at night, your eyes irises dilate to...Ch. 32 - Under the best conditions, atmospheric turbulence...Ch. 32 - Prob. 63PCh. 32 - An air wedge like that of Fig. 32.28 displays...Ch. 32 - A thin-walled glass tube of length L containing a...Ch. 32 - Light is incident on a diffraction grating at...Ch. 32 - An arrangement known as Lloyds mirror (Fig. 32.29)...Ch. 32 - The intensity of the single-slit diffraction...Ch. 32 - Youre on an international panel charged with...Ch. 32 - Youre investigating an oil spill for your state...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If a point source is located directly above a...Ch. 32 - If a point source is located on a line at 45 to...
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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_forwardThe 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_forwardbirds of prey have keen eyesight. If the pupil of an eagle has diameter of 10mm, at what altitude could it fly and still see clearley a mouse 7cm long? consider wavelength=550nm.arrow_forward
- Young's experiment uses a laser with a wavelength λ = 632.8 nm, a slit separation of 0.5 mm and an observation distance of 40 cm. What is the separation of the stripes if the experiment is performed in (a) air (n = 1,0003), (b) a carbon dioxide environment (n = 1,0005), and (c) in water (n = 1,333)?arrow_forwardGiven that a ruby laser operating at 694.3 nm has a frequency bandwidth of 50 MHz, what is thecorresponding line width?arrow_forwardMonochromatic 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?arrow_forward
- X-rays of wavelength 0.130 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.2°. What value does this give for the interplanar spacing of the crystal? ____nmarrow_forwardA crystal sample of bacteriorhodopsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm If a beam of 10keV x rays illuminates a sample, what angles will give diffraction maxima of the first, second and third order?arrow_forwardYou are looking into the headlights of a distant vehicle on an autoroute in France. The driver has shown his resistance to the Europeanization of Europe by resolutely continuing to use yellow headlights (wavelength 550 nm). (a) What is the theoretical limit of angular resolution of your eyes for these headlights when your iris has a diameter of 6.00 mm? (Express your answer in milli-radians (mrad).) (b) If the headlights of the car are separated by 1.80 m, with this resolution at what distance would you be just be able to tell that the vehicle had, in fact, two headlights? (Express your answer in km.)arrow_forward
- The second-order diffraction (n = 2) for a gold crystal is at an angle of 22.20° forX rays of 154 pm. What is the spacing between these crystal planes?arrow_forwardWhat is the approximate penetration depth for X-ray impinging a substrate at an angle much smaller than the critical angle. The substrate has a critical scattering vector of ?? = 0.03 Å −1arrow_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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