Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337888585
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 41, Problem 17P
(a)
To determine
To show that the given wave function is normalized.
(b)
To determine
The probability of the electron.
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The wave function for the Is state of an electron in the hydrogen
atom is
VIs(P) =
e-p/ao
where ao is the Bohr radius. The probability of finding the electron in
a region W of R³ is equal to
J, P(x, y, 2) dV
where, in spherical coordinates,
p(p) = |V1s(P)²
Use integration in spherical coordinates to show that the probability of
finding the electron at a distance greater than the Bohr radius is equal to
5/e = 0.677. (The Bohr radius is ao =5.3 x 10-1" m, but this value
is not needed.)
The probability density function (PDF) for electrons to be detected on the x-axis
between 0 nm and 1.0 nm is shown below.
What is the probability of finding the electron between x = 0.5 nm and x =
1.0 nm?
|w(x)* (nm')
2.0
1.0
0.5
x (nm)
1.0
The total probability of finding an electron in the hydrogen atom is related to the integral
∫ r2 e-2r/ao dr
Where r is the distance of the electron from the nucleus and ao is the Bohr radius. Evaluate thisintegral.
Chapter 41 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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