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 15P
To determine
To plot the wave function and probability density function of the for the hydrogen atom.
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The longest wavelength line of the Balmer Series for hydrogen occurs at 656.3 nm corresponding to the transition from n2 = 3 to n1 = 2. Determine the value for the Rydberg constant for hydrogen using these values.
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.
The Rydberg constant for a Hydrogen atom is R = 1.097 x 107 m-1.
What is the ionisation energy of Hydrogen?
Select one:
a. 13.6 eV
b. 7.8 eV
c. 5.7 eV
d. 10.6 eV
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
An electron in the hydrogen atom makes a transition from an energy state of principal quantum number ni to the n = 2 state. If the photon emitted has a wavelength of 434 nm, what is the value of ni?
Enter just the value of ni, and not the whole expression (e.g., do not enter n = 2).
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The wavefunction for an electron in the Hydrogen atom is provided in figure 1, where B is a constant, and a0 is the Bohr radius.
By inspection and using the radial part of the wavefunction, identify the value of the quantum number then, calculate the energy level of this electron (answer in eV).
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What is the probability of the electron in the 1s state of the hydrogen atom being at a radius greater than the Bohr radius a0?
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What is the maximum possible angular momentum L of a hydrogen atom if its energy is -0.544 eV?
Your answer should be written as a multiple of ℏ.
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What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 3 to a state with n = 1?
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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.
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a.) Find the frequency in Hertz of radiation with energy of 2.179 x 10-18 J per photon.
b.) What frequency of light would be needed to make an electron in a Hydrogen atom jump from n=1 to n=3?
c.) A spectral line is measured to have a wavelenght of 1000nm. Is this within the Balmer series?
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Which of these expressions would yield the wavelength of light in meters emitted when an electron drops from orbit n = 3 to n = 2 in a Bohr hydrogen atom? Given h = 4.14 x 10-15 eVs and c = 3.00 x 108 m/s.
a.
1.89/hxc
b.
hc/1.89
c.
1.89 x h x c
d.
(1.51 + 3.4)/hc
e.
hc/3.4
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