Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 2FTD
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How to explain the size of a hydrogen atom to a non-physics student.

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Topic: Atomic Physics Show that the first term on the left side of the equation h2 1 d dREe Ze? h?e(e+1)] r2 + REe = EREE 2μ r2 dr dr r 2ur2 can be written as ħ2 1 d .2 dREe - 2u r² dr (r 2μ d
It may be argued on theoretical grounds that the radius of the hydrogen atom should depend only on the fundamental constants h, e, the electrostatic force constant k = 1/4πℰ0, and m (the electron’s mass). Use dimensional analysis to show that the combination of these factors that yields a result with dimensions of length is h2kme2.
A certain atom has a radius of 2.7 X 10-1 nm and a mass of 2.21 X 10-22 g.  What is the density of the atom? Assume that the atom is a sphere.  The volume of a sphere is given by: ?=43??3V=43πr3     where r is the radius and ?=3.14

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Essential University Physics (3rd Edition)

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