Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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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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What features of the Bohr model of hydrogen are consistent with the later, full quantum mechanical analysis? 1. When the atom drops from a higher energy state to a lower energy state, a photon is emitted with the energy corresponding to the difference in energy levels. 2. K+U is (-13.6/N2) eV. 3. The energy is quantized. 4.The electron moves in distinct circular orbits. 5. The angular momentum in the ground state is h/2. 6. The angular momentum is quantized. 7. Higher energy states correspond to a larger size of the atom. 8. A photon can be absorbed by the atom if the photon's energy corresponds to the energy necessary to jump to a higher energy level.
In the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed? a) n=3, l=0, ml=0 b) n=3, l=1, ml= -1 c) n=3, l=2, ml= 2 d) n=3, l=2, ml= -1 e) n=3, l=3, ml=2
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