Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 39, Problem 35P
To determine

To find:

a) The probability density ψ2(r)

b) Radial probability density P(r)

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For the hydrogen atom in its ground state, calculate (a) the probability density c2(r) and (b) the radial probability density P(r) for r = a, where a is the Bohr radius.
Calculate the radial probability density P(r) for the hydrogen atom in its ground state at (a) r= 0, (b) r = a, and (c) r = 2a, where a is the Bohr radius.
Compute the intrinsic line-width (Δλ) of the Lyman α line (corresponding to the n=2 to n=1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10^−8s. The line-width may be computed using:ΔE=(hc/λ^2)Δλ

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Fundamentals of Physics Extended

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