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 39P
To determine
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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?
A) 40 degrees
B) 20 degrees
C) 43 degrees
D) 4.0 degrees
E) 11 degrees
X-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)?
Consider scattering with electrons of 54 eV on a crystal with planes separated by 0.22 nm. How many diffraction peaks should be expected? Justify your answer
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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- A 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_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_forwardX ray diffraction in Potassium Chloride (KCl) results in a first order maximum when 97 pm wavelength X rays graze the crystal plane at 8.5 degrees. Find the spacing between crystal plane?arrow_forward
- Given the Dispersion relation n=1+2pi*(B/wavelength) where B is 10nm, find the group and phase velocity for light with a wavelength of 600nmarrow_forward1) When light is travelling, as in the diffraction example above, it is mostly useful to describe it as a wave. Like water waves or sound waves, different “rays” of light will interact with each other depending on their path length and phase. We call this process: a. constructive and destructive interference. b. reflection. c. black-body radiation. e. absorption. f. diffusion. 2. The black-body emission of an object tells us its: a. electric charge. b. single wavelength emitted. c. temperature. d. quantum state. e. element composition 3. Spectroscopy is interested in emission and absorption lines, because ... a. they sound really pretty. b.they are only emitted by intelligent life. c. electric currents always emit certain sound waves. d. they are pretty. e. they correspond to specific electron transitions characteristic to certain elements (and certain ions and molecules).arrow_forwardThe interplanar distance of (101) plane of ZnO crystal is 0.45 nm. If the first-order diffraction maximum is observed at an incidence angle of 36.2°, what is the wavelength of the X-ray scattering from this crystal? And estimate the crystallite size of the ZnO nanomaterial if FWHM of (101) plane is 2.51° (degree to radian Degree x T/180) and k = 0.9.arrow_forward
- A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 9.00-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 515 nm. As the temperature is slowly increased by 25.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal?arrow_forwardA 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_forwardQuartz is a uniaxial birefringent material with refractive indices no=1.5534 and ne=1.5443. It is desired to make a quarter-wave plate of quartz for use with a Sodium laser of wavelength λ0=589 nm. Calculate the minimum thickness of the plate.Give your answer in micrometers to 1 d.p.arrow_forward
- Reflections from the {110} planes of barium titanate, BaTiO3, which has a tetragonal crystalline structure, were observed at glancing angles of 9.13° with Co Ka radiation of wavelength 179 pm. What is the value of the unit cell parameter a?arrow_forwardQ. 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_forward
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