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 18P
(a)
To determine
List the possible sets of quantum numbers for the hydrogen atom associated with 3d sub shell.
(b)
To determine
List the possible sets of quantum numbers for the hydrogen atom associated with 3p sub shell.
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1. (a) Use the equation for energy Eigen values that result from the solution to the infinite
square well to estimate the ground state energy (n = 1) in a hydrogen atom by assuming
that an electron is confined in an infinite square well with L = 10-10 m. this is the average
radius of an electron orbit in a hydrogen atom. Give your answer in units of J and eV.
(b) Compare your answer in part (a) to the ground state energy value resulting from the
use of the Bohr Model. Give your answer in units of J and eV.
En
moq4
2(4π, hn)²
h
where, ħ== m₁ = 9.11 x 10-³1 kg, q = 1.65 x 10-19 C, &o = 8.85 x 10-14.
2πT'
Farad
cm
h = 6.63 x 10-34 Js.
(a) What is the minimum value of 1 for a subshell that has11 electrons in it?(b) If this subshell is in the n = 5 shell, what is the spectroscopic notation for this atom?
A hydrogen atom in an excited 5f state is in a magnetic fi eld of 3.00 T. How many energy states can the electron have in the 5f subshell? (Ignore the magnetic spin effects.) What is the energy of the 5f state in the absence of a magnetic fi eld? What will be the energy of each state in the magnetic field?
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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- (a) If one subshell of an atom has nine electrons in it, what is the minimum value of (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3 shell?arrow_forwardA ground-state hydrogen atom is placed in a uniform magnetic field, and a photon is emitted in the transition from a spin-up to spin-down state. The wavelength of the photon is 168 µm. What is the strength of the magnetic field?arrow_forwardFor an electron in 5d subshell of Hydrogen atom, do the following:i) Write the principle quantum number (n).ii) Calculate the orbital angular momentum (L).iii) Calculate the energy of the electron in this energy state.iv) Determine the maximum number of electrons can occupy this subshell (5d)arrow_forward
- A hydrogen atom in its fourth excited state emits a photon with a wavelength of 1282 nm. What is the atom’s maximum possible orbital angular momentum after the emission? Give your answer as a multiple of U.arrow_forwardThe hydrogen atom was initially at the state where n=3 and l=2. It then decays to a lower state releasing a photon. What are the possible photon energies(in [eV]) that may be observed?arrow_forwardA hydrogen atom is in its fourth excited state. The atom emits a 1.28E+3nm wavelength photon. Determine the maximum possible orbital angular momentum of the electron after emission. Express your answer as multiples of hbar.arrow_forward
- Calculate the wavelength of light emitted from a hydrogen atom if an electron transitions between the energy levels with main quantum numbers 5 and 4. Provide your answer in nm.arrow_forwardDraw a neat labelled energy level diagram for Hydrogen atom, showing Balmer and Paschen series. Find the mass of photon of the radiation having wavelength 5000 A .arrow_forwardA hydrogen atom is initially four energy levels above the ground state (i.e., in the fourth excited state) when it emits a photon of wavelength 1282 nm. What is the quantum number ?f of the energy state right after the emission? List all of the allowed values for the orbital magnetic quantum number corresponding to the highest orbital quantum number of the initial state: Compare the orbital radii before (?i ) and after (?f ) the emission:arrow_forward
- Explain the hyperfine splitting of H-atom energy levels.arrow_forwardA hydrogen atom in an n=2 state absorbs a photon.What wavelength photons might be emitted by the atom following absorption?For your answer: You should find 10 total possible wavelengths, with the shortest being ~100 nm and the largest being ~1900nm. You should enumerate all of them.arrow_forwardA hydrogen atom passes through a strong external magnetic field of B= 10 Tesla.A) List the possible quantum states (?, ?, ?l, ?s) for the 3p level.B) Calculate the energies of each of these quantum states.arrow_forward
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