General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 28, Problem 20E
(a)
To determine
The magnitude of discrepancy in the spectrum.
(b)
To determine
The percentage of shift.
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The distance r between the electron and the nucleus in a hydrogenatom (in its lowest energy state) is a random variable with probability density p(r) = 4a03r2e- 2r/ao for r > 0, where ao is the Bohr radius (Figure 8). Calculate the probability P that the electron is within one Bohrradius of the nucleus. The value of a0 is approximately 5.29 x 10- 11 m,but this value is not needed to compute P.
One can now use integrated-circuit technology to manufacture a "box" that traps electrons in a region only a few nanometers wide. Imagine that we make an essentially one-dimensional box with a length of 3 nanometers. Suppose we put 10 electrons in such a box and allow them to settle into the lowest possible energy states consistent with the Pauli exclusion principle.
a) What will be the value of the highest energy level occupied by at least one electron?
b) What will be the electrons' total energy (ignoring their electrostatic repulsion)?
c) How would your answers to the above be different if the electrons were bosons instead of fermions?
d) What is the wavelength of the lowest energy photon that can be absorbed (the electrons in this box are fermions)?
(a) The current i due to a charge q moving in a circle with frequency frev is qfrev .
(a) Find the current due to the electron in the first Bohr orbit.
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Chapter 28 Solutions
General Physics, 2nd Edition
Ch. 28 - Prob. 1RQCh. 28 - Prob. 2RQCh. 28 - Prob. 3RQCh. 28 - Prob. 4RQCh. 28 - Prob. 5RQCh. 28 - Prob. 6RQCh. 28 - Prob. 7RQCh. 28 - Prob. 8RQCh. 28 - Prob. 9RQCh. 28 - Prob. 10RQ
Ch. 28 - Prob. 1ECh. 28 - Prob. 2ECh. 28 - Prob. 3ECh. 28 - Prob. 4ECh. 28 - Prob. 5ECh. 28 - Prob. 6ECh. 28 - Prob. 7ECh. 28 - Prob. 8ECh. 28 - Prob. 9ECh. 28 - Prob. 10ECh. 28 - Prob. 11ECh. 28 - Prob. 12ECh. 28 - Prob. 13ECh. 28 - Prob. 14ECh. 28 - Prob. 15ECh. 28 - Prob. 16ECh. 28 - Prob. 17ECh. 28 - Prob. 18ECh. 28 - Prob. 19ECh. 28 - Prob. 20ECh. 28 - Prob. 21ECh. 28 - Prob. 22ECh. 28 - Prob. 23ECh. 28 - Prob. 24ECh. 28 - Prob. 25ECh. 28 - Prob. 26ECh. 28 - Prob. 27ECh. 28 - Prob. 28ECh. 28 - Prob. 29ECh. 28 - Prob. 30ECh. 28 - Prob. 31ECh. 28 - Prob. 32ECh. 28 - Prob. 33ECh. 28 - Prob. 34ECh. 28 - Prob. 35ECh. 28 - Prob. 36ECh. 28 - Prob. 37ECh. 28 - Prob. 38ECh. 28 - Prob. 39ECh. 28 - Prob. 40ECh. 28 - Prob. 41ECh. 28 - Prob. 42ECh. 28 - Prob. 43ECh. 28 - Prob. 44ECh. 28 - Prob. 45ECh. 28 - Prob. 46ECh. 28 - Prob. 47ECh. 28 - Prob. 48ECh. 28 - Prob. 49ECh. 28 - Prob. 50ECh. 28 - Prob. 51ECh. 28 - Prob. 52ECh. 28 - Prob. 53ECh. 28 - Prob. 54E
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