Inquiry into Physics
Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 10, Problem 1OA
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What is hologram and how does it differ from the ordinary photographic image?

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The atoms in a crystal lie in planes separated by a few tenths of a nanometer. Can a crystal be used to produce a diffraction pattern with visible light as it does for x-rays? Explain your answer with reference to Bragg’s law.
A carbon atom's diameter is approximately 0.2 nm. What fraction of this size is an x-ray of frequency 6.7 x1018 Hz? X 0.2mm How many of these wavelengths would it take to span the diameter of a sodium atom (.23 nm)? N = waves
2. Use Heisenberg's uncertainty principle to make a more quantitative estimate of the precision with which the position and momentum of electrons can be found in the two-slit experiment. If you are able to see an interference pattern (i.e. separate a maximum from a minimum), what typical precision do you have on the wavelength of the electron, and thus what precision do you have on the momentum of the electron. Now apply Heisenberg's principle to work out the precision you have on the position of the particle. Does this help explain the wave-particle duality of electrons? You might find the discussion in this document helpful: http://physics.mq.edu.au/~jcresser/Phys301/Chapters/Chapter4.pdf Also Fead Chapters 1 and 2 of Feynman's Lectures in Physics, Volume 3.

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