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 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.
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_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_forward
- A 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_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_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_forward
- The light observed that is emitted by a hydrogen atom is explained by a simple model of its structure with one proton in its nucleus and an electron bound to it, but only with internal energies of the atom satisfying EH=−RH/n2EH=−RH/n2 where RHRH is the Rydberg constant and nn is an integer such as 1, 2, 3 ... and so on. When a hydrogen atom in an excited state emits light, the photon carries away energy and the atom goes into a lower energy state. Be careful about units. The Rydberg constant in eV is 13.605693009 eV That would be multiplied by the charge on the electron 1.602× 10-19 C to give 2.18× 10-18 J A photon with this energy would have a frequency f such that E=hf. Its wavelength would be λ = c/f = hc/E. Sometimes it is handy to measure the Rydberg constant in units of 1/length for this reason. You may see it given as 109737 cm-1 if you search the web, so be aware that's not joules. The following questions are intended to help you understand the connection between…arrow_forwardAn electron in the hydrogen atom is in the 4s state. (a) Find the orbital angular momentum of the electron (in units of h). (b) Find the energy of the electron (in eV). (c) Ignoring electron spin, find the total number of quantum states that have this same energy. (d) Make a table listing the uantum numbers n, I, and ms of each of the degenerate states. Indicate the spectroscopic label (e.g. 1s, 2s, etc) that would apply to each state.arrow_forward1 r e 3 do An electron in a hydrogen atom in the n = 2, I = 1 state has R21 = r/2ao 2 6a0 a) Find the most probable distance of the electron from the nucleus. b) Compute the expectation value and compare it with the value obtained in part a.arrow_forward
- Question in photoarrow_forward1) The Lyman series of lines in the emission spectrum of hydrogen corresponds to transitions from various excited states to the n1 = 1 orbit. Calculate the wavelength (in nm) of the energy line (n = 11) in the Lyman series to five significant figures. (RH = 109677.57 cm-1). Think about where this is in the spectrum. 2) What is the wavelength, (in angstroms, A) of an electron (m = 9.11 X 10-31 kg) moving at 7.80 X 105 m/sec. (h= 6.626 X 10-34 Js)arrow_forwardPlease only type answerarrow_forward
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