Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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A beam of thermal neutrons (kinetic energy = 0.025 eV) scatters from a crystal with interatomic spacing 0.45 nm. What is the angle of the fi rst-order Bragg peak?
A horizontal beam of laser light of wavelength is 585 nm passes through a narrow slit that has width 0.0602mm. The intensity of the light is measured on a vertical screen that is 2.00 m from the slit.
(a) What is the minimum uncertainty in the vertical component of the momentum of each proton in the bean after the photon has passed through thr slit? What is the width of the central maximum and the intensity in terms of I0 at the first minimum?
(b) If these photons scatters off an electron at rest at an angle of 15 degrees, what is the photon's final energy?
(c) If these photons strike a metal surface with work function 2.2eV, what would be the maximum kinetic energy of the emitted electrons?
A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical position will this photon have as it emerges from the slit? What is the minimum uncertainty in the vertical momentum?
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- A. If the position of a chlorine ion in a membrane is measured to an accuracy of 1.50 µm, what is its minimum uncertainty in velocity (in m/s), given its mass is 5.86 10-26 kg? B. If the ion has this velocity, what is its kinetic energy in eV? (Compare this with typical molecular binding energies of about 5 eV.)arrow_forwardPotassium chloride is a crystal with lattice spacing of 0.314 nm. The fi rst peak for Bragg diffraction is observed to occur at 12.8°. What energy x rays were diffracted? What other order peaks can be observed (≤ 90°)?arrow_forwardWhat is the kinetic energy of each electron in a beam of electrons if the beam produces a diffraction pattern of a crystal which is similar to that of a beam of 1.00 eV neutrons? (knowing that electron mass is 9.11*10^-31 kg and neutron mass is 1.67*10^-26 kg). What are the specific equations that are being used in this problem?arrow_forward
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- 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_forwarda. X ray are produced in a tube operating at 20.0 kV strikes a target and Compton- scattered through an angle of 90.0° What is the wavelength shift, AA. b. A beam of protons with have the same energy scatters from atoms that have a spacing of 0.150 nm in the crystal. The m- 2 intensity maximum occurs when the angle is 30.0°. Calculate the kinetic energy (in eV) of each beam.arrow_forwardHow can we determine the crystal plane corresponding to a particular peak in the XRD model?arrow_forward
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