Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 3, Problem 13P
To determine
The minimum separation that can be resolved from two first order spectral lines for wavelength of
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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.
Rayleigh’s criterion is used to determine when two objects are barely resolved by a lens of diameter d. The angular separation must be greater than θR where θR = 1.22 λ/d In order to resolve two objects 4000 nm apart at a distance of 20 cm with a lens of diameter 5 cm, what energy (a) photons or (b) electrons should be used? Is this consistent with the uncertainty principle?
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Chapter 3 Solutions
Modern Physics for Scientists and Engineers
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - In the experiment of Example 3.2, how could you...
Ch. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Across what potential difference does an electron...Ch. 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 - Calculate max for blackbody radiation for (a)...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - White dwarf stars have been observed with a...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - The Fermi Gamma-ray Space Telescope, launched in...Ch. 3 - Prob. 70P
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- In a Davisson-Germer experiment, electrons with a speed of 6.5 × 106 m/s exhibit third-order ( n = 3) constructive interference for a crystal with unknown plane separation, d. Given an angle of incidence of θ = 45°, compute the value for d. Compare the de Broglie wavelength to electromagnetic radiation with the same wavelength. (Recall that the mass of the electron is 9.11 × 10-31 kg.)arrow_forwardNEED SOLUTION ASAP!!! The emission spectrum of the hydrogen atom is recorded using a diffraction grating (lattice constant d=2 μm). What is the minimum number of lines that a diffraction grating must have if the first 30 spectral lines of the Balmer series of the hydrogen atom are to be resolved in the first-order diffraction spectrum?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
- What are “diffraction pattern” and “electron density map.”? Can you please brielfy explain it and what mathematical function relates the two in an X-ray crystallography experiment?arrow_forwardThe first - order diffraction maximum is observed at 12.6° for a crystal having an interplanar spacing of 0.240 nm. How many other orders can be observed in the diffraction pattern, and at what angles do they appear? Why is there an upper limit to the number of observed orders?arrow_forwardIn performing a microwave diffraction activity, you determined that the spacing between the atoms was given by d=λ/(2sinθ). Assuming a wavelength of λ=2.20 cm, if you measured the peak angle to be θ=25.0∘±3.5∘, what is the uncertainty in your measured separation due to the uncertainty in your measured angle?arrow_forward
- What double-slit separation would produce a first-order maximum at 3.00º for 25.0-keV x rays? The small answer indicates that the wave character of x rays is best determined by having them interact with very small objects such as atoms and molecules.arrow_forwardWhat double-slit separation would produce a first-order maximum at 3.00° for 25.0-keV x rays? The small answer indicates that the wave character of x rays is best determined by having them interact with very smallobjects such as atoms and molecules.arrow_forwardSpeculate as to how the diffraction patterns of a typical crystal would be affected if -rays were used instead of X-rays.arrow_forward
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