College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28, Problem 5CQ
To determine
The whether the electron energy increases, decreases or remains unchanged for various cases.
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Consider only transitions involving the n = 1 through n = 4 energy levels for the hydrogen atom (see Figures 6.7 and 6.10).
(a) How many emission lines are possible, considering only the four quantum levels?
(b) Photons of the lowest enerrgy are emitted in a transition from the level with n = _ _ _ _ to a level with n = _ _ _ _
(c) The emission line having the shortest wavelength corresponds to a transition from the level with n = _ _ _ _ to the level with n =
Consider only the transitions involving the first four energy levels for a hydrogen atom:a. How many emissions are possible for an electron in the n = 4 level as it goes tothe ground state?b. Which electronic transition is the lowest energy?c. Which electronic transition corresponds to the shortest wavelength emission
Considering <r> = a0/2 [3n2 - l (l +1)] The results of <r> for the states of the hydrogen atom with n = 2 and l = 1, and for n = 2 and l are:
For n = 2 and l = 1 For n = 2 and l = 0
<r> = 5a0 <r> = 6a0
The question is: Do the results obtained surprise you? Explain your answer.
Chapter 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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- For an electron in a hydrogen atom in the n=2 state, compute: (a) the angular momentum; (b) the kinetic energy; (c) the potential energy; and (d) the total energy.arrow_forwardThe electron in a hydrogen atom undergoes a transition from the n=3 energy state to the ground state, n= 1. How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, at n=1. En=1=-13.6 eVarrow_forwardThe Balmer series for the hydrogen atom comprises electron energy transitions that end in the nf = 2 state. An illustration of energy levels shows the colors of the lines of the Balmer series. The bottom energy level in the diagram is n = 2, and an upward arrow indicates that energy increases with higher energy levels, labeled up to n = ∞, where E = 0.00 eV. The energy of n = 2 is −3.401 eV, n = 3 is −1.512 eV, n = 4 is −0.8504 eV, n = 5 is −0.5442 eV, and n = 6 is −0.378 eV. Balmer lines are produced when an electron jumps to n = 2 from any higher level. Red color is emitted during transition from n = 3, green color during transition from n = 4, blue color during transition from n = 5, and violet color during transition from n = 6. Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon. (a)What is…arrow_forward
- Enumerate all states of the hydrogen atom corresponding to the principal quantum number n = 2, giving the spectroscopic designation for each. Calculate the energies of these states.arrow_forwardAn electron in a hydrogen atom undergoes a transition from an energy level with n=4 to an energy level with n=2. Calculate the energy change (in electron volts) during this transition. Given: Rydberg constant R_H=13.6 eV.arrow_forwardWhat is the energy of the photon that, when absorbed by a hydrogen atom, could cause the following? (a) an electronic transition from the n = 1 state to the n = 5 state Answer:_______ eV(b) an electronic transition from the n = 3 state to the n = 7 state Answer:_______eVarrow_forward
- In the Balmer series, for the Hydrogen atom, a weak transition is observed at 397nm. the value of the same transition for the Li2+ ion would correspond to an energy value of: a) 28.1 eV, b) 122.4 eV, c) 2.5 eV, d) 13.3eV, e) 119.9 eVarrow_forwardConsider the ground state energy of the hydrogen atom E0. What is the expression you use to verify that the ground state energy is 13.6 eV? Use fundamental constants e, me, k, and h.arrow_forwardWhich of the following principal levels contains / (angular momentum quantum number) = 3? A. n = 2 level B. both n = 3 and n = 4 levels C. n = 3 level D. n = 4 level How many orbitals are contained in the n = 3 principal number of a given atom? What is the value of the angular momentum quantum number of a d orbital?arrow_forward
- What are the n and l values of the following states of a hydrogen atom: (a) 4d, (b) 5f, (c) 6s?arrow_forwardThe 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 angular part of the wavefunction, identify the value of the quantum numbers l and ml, then operate on this wavefunction with Lˆz, and use your result to verify the value of ml identified.arrow_forward
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