Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 3, Problem 37P
To determine
The three smallest angles.
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X-rays with a wavelength of 1.43 Å scatter at an angle of 34.0 ∘ from a crystal. If n=1 , what is the distance between planes of atoms in the crystal that give rise to this scattering?
If 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?
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Chapter 3 Solutions
Modern Physics
Ch. 3.2 - Calculate the quantum number, n, for this pendulum...Ch. 3.2 - An object of mass m on a spring of stiffness k...Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8Q
Ch. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - As a single crystal is rotated in an x-ray...Ch. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48P
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- X - 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_forwardIn a Compton scattering experiment, the incident X-rays have a wavelength of 0.2686 nm, and the scattered X-rays have a wavelength of 0.2707 nm. Through what angle θ in the drawing are the X-rays scattered?arrow_forwardIt is stated without proof with respect to Bragg’s law that when the atoms are not sym- metrically disposed to the incident and reflected beams (Fig. 8.3(b)), the path difference (AB + BC) = 2dhkl sin θ . Prove, using very simple geometry, that this is indeed the case.arrow_forward
- What is the change in wavelength when monochromatic X-rays are scattered by electrons through an angle of 30∘?arrow_forwardA crystal sample of bacteriorhodpsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm. If a beam of 11 keV x rays illuminates a sample, what angles will give diffraction maxima?arrow_forwardX-rays with wavelengths of 128 pm was used to study a crystal which produced a reflection of 15.8 degrees. Assuming first order diffraction (n = 1), what is the distance between the planes of atoms (d)?arrow_forward
- A sodium laser emits a light beam of wavelength 589 nm in air, with a beam diameter of 3 mmand emitted power of 50 mW. Evaluate:i) the wavenumber k0,ii) the angular frequency ω, andiii) the peak amplitude of the electric field E0 in the laser spot (you may assume beam divergencedue to diffraction is negligible).Give the appropriate SI units in each case.arrow_forwardLight of wavelength 2.40 pm is directed onto a target containing free electrons. (a) Find the wavelength of light scattered at 30.0° from the incident direction. (b) Do the same for a scattering angle of 120°.arrow_forwardSRS Consider the glass sheet in the path of X-rays. When passes through this sheet X-rays found with intensity reduced by 30%. The value of absorption cocfficient is : [Given In 1.428 = .356] g X-rays Sheet _— of glass - gmm, (a) Always less than unity (b) Less than 70 but more than 55 (c) Less than 20 (&) Always more than unity but less than 20arrow_forward
- Q. 1. An X-ray beam of wavelength 0.71 A is diffracted by a cubic KCL crystal of density 1.99x10^3 Kgm-3. Calculate the interplanner spacing for (200) planes and glancing angle for the second order reflection from these planes. The molecular weight of KCL is 74.6 amu and the Avagadro’s numberis 6.023x10^26 Kg-1 mole-1.arrow_forwardAn x - ray tube is operated at 5.00 x 104 V. (a) Find the minimum wavelength of the radiation emitted by this tube. (b) If the radiation is directed at a crystal, the first - order maximum in the reflected radiation occurs when the grazing angle is 2.5°. What is the spacing between reflecting planes in the crystal?arrow_forwardCoherent light is passed through two narrow slits whose separation is 20.0 mm. The second-order bright fringe in the interference pattern is located at an angle of 0.0300 rad. If electrons are used instead of light, what must the kinetic energy (in electron volts) of the electrons be if they are to produce an interference pattern for which the second-order maximum is also at 0.0300 rad?arrow_forward
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