College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 28, Problem 31P
(a)
To determine
The number of distinct quantum state for
n = 1
(b)
To determine
The number of distinct quantum state for
n = 2
(c)
To determine
The number of distinct quantum state for
n = 3
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An electron is in a hydrogen atom with n = 2 and ℓ = 1.
(a) Find all the possible angles between the orbital angular momentum vector and the z-axis.
(b) Suppose the atom absorbs a photon and rises from the n = 2 and ℓ = 1 state to the n = 3 state. Using conversation of angular momentum, what are the possible values of the final value of ℓ in the n = 3 state?
Which of the following is a permissable set of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state).
a) n = 6, l = -5, ml = +4, ms = +1/2
b) n = 4, l = -2, ml = +2, ms = -1/2
c) n = 2, l = 2, ml = +1, ms = -1/2
d) n = 5, l = 1, ml = -1, ms = +1/2
e) n = 3, l = 2, ml = -2, ms = -1
Consider the atom having the electron configuration 1s2 2s2 2p6 3s2. Assume that the z components of both the orbital abd spin angular momenta of the electron in the 3p subshell are positive. What are the quantum numbers that describe the state of this electron.
n=3 l=1 m=-1 s=1/2n=3 l=1 m=2 s=1/2n=3 l=2 m=1 s=1/2n=3 l=1 m=1 s=1/2n=3 l=2 m=2 s=-1/2
Can we say which one is correct?
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
Knowledge Booster
Learn more about
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
- Which of the following sets of quantum numbers can be used to describe the 2 electrons in the He atom? For the possible sets, write the electron configuration and identify if it is a ground state or excited state configuration. i) n = 2,1 = 0, mį = 0, mş = 1/2 and n = 1, 1 = 0, m = 0, mş = 1/2 ii) n = 2,1= 0, mi = 0, ms = 1/2 and n = 2,1= 0, mi = 0, ms = 1/2 iii) n = 2,1= 1, mị = 0, mş = 1/2 and n = 2,1= 0, mį = 0, ms = 1/2 iv) n = 2,1= 0, mį = 0, ms =- 1/2 and n = 2,1= 0, m¡ = 0, ms = 1/2 v) n = 1,1= 0, mį = 0, mş = 2 and n = 1,1 = 0, mį = 0, mş = -2 %3D %3D %3D %3Darrow_forwardAngular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², 1 = 0,1,2,..., n-1 Lz = m₂ħ, m₁ = 0, ±1, ±2,..., ±l 3 S² = s(s+1)h² = h², 4 Consider an excited electron (n > 1) on an H-atom. Sz = msh 1 =+=ħ Show that the minimum angle that the I can have with the z-axis is given by n-1 n L.min = cos Clue: the angle a vector with magnitude V from the z-axis can be computed from cos 0 = V²/Varrow_forwardAngular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude and z-component given by L² = 1(1+1)ħ², Lz = m₁h, 1 = 0,1,2,..., n 1 - m₁ = 0, ±1, ±2, ..., ±l 3 S² = s(s+1) h² = =h²₁ 4 Consider an excited electron (n > 1) on an H-atom. The total angular momentum ] = L + Š, whose magnitude and z-component follow a similar dependence to some quantum numbers j and m; as J² = j(j + 1)ħ², Jz = mjħ 1 S₂ = m₂h = ± = h Where j and m; are quantum numbers which assume values that jumps in steps of one such that j is non-negative and −j ≤ m¡ ≤ j. For a given quantum number 1, what are the (two) possible values for j? Clue: we can use the vector sum relation of angular momenta, then consider the z-component only.arrow_forward
- Light of wavelength 102.6 nm is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lower quantum number of the transition producing this emission? (c) What is the name of the series that includes the transition?arrow_forwardA hydrogen atom is in the 6g state. (a) What is the principal quantum number? (b) What is the energy of the atom? (c) What are the values for the orbital quantum number and the magnitude of the electron’s orbital angular momentum? (d) What are the possible values for the magnetic quantum number? For each value, find the corresponding z component of the electron’s orbital angular momentum and the angle that the orbital angular momentum vector makes with the z-axis.arrow_forwardGiven an electron in the n=4 state of a hydrogen atom. What values would you get for m_l (Azimuthal part: magnetic quantum number) when l = 0,1,2,3.arrow_forward
- Hydrogen's single electron can occupy any of the atom's distinct quantum states. Determine the number of distinct quantum states in the n = 1, n = 2, and n = 3 energy levels. HINT (a) n = 1 states (b) n = 2 states (c) n = 3 statesarrow_forwardThe electron in a hydrogen atom with anenergy of -0.544 eV is in a subshell with 18 states. (a) What is theprincipal quantum number, n, for this atom? (b) What is the maximum possible orbital angular momentum this atom can have?(c) Is the number of states in the subshell with the next lowestvalue of / equal to 16, 14, or 12? Explain.arrow_forwardConsider the atom having the electron configuration 1s2 2s2 2p6 3s2 3p1. Which of the following statements are correct? Tick all that apply, say the correct options. The atom has no electrons in tje energy level n=3 ?the atom has only electron in the state n=3 I=2 ?the atom has six electrons in the state n=2 I=1 ?The atom has three electrons in the energy level for which n=3 ?The atom has electrons in states n=2 and n=3 ?arrow_forward
- Why is the following situation impossible? An experiment is performed on an atom. Measurements of the atom when it is in a particular excited state show five possible values of the z component of orbital angular momentum, ranging between 3.16 x 10-34 kg ⋅ m2/s and -3.16 x 10-34 kg ⋅ m2/s.arrow_forward2. a) Problem 8.3 of Textbook: Calculate the frequency of the hydrogen transition n = 101 → n = 100. b) A light photon emitted from a higher energy level ofn = 3 to a lower energy level of n = 2 in hydrogen has a wavelength of 1 = 656.3 nm. Compute the atom distribution ratio N3/N2 at the equilibrium when temperatures are T = 102K.arrow_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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning