University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 41, Problem 41.51P
To determine
The value of
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1
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An electron in a hydrogen atom in the n = 2, I = 1 state has R21 =
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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.
Zirconium (Z = 40) has two electrons in an incomplete d subshell.
(a) What are the values of n and ℓ for each electron?
n
=
ℓ
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(b) What are all possible values of m and ms?
m
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ms
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(c) What is the electron configuration in the ground state of zirconium? (Use the first space for entering the shorthand element of the filled inner shells, then use the remaining for the outer-shell electrons. Ex: for Manganese you would enter [Ar]3d54s2)
D
Chapter 41 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 41.1 - Prob. 41.1TYUCh. 41.2 - Prob. 41.2TYUCh. 41.3 - Prob. 41.3TYUCh. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYUCh. 41.7 - Prob. 41.7TYUCh. 41.8 - Prob. 41.8TYUCh. 41 - Prob. 41.1DQCh. 41 - Prob. 41.2DQ
Ch. 41 - Prob. 41.3DQCh. 41 - Prob. 41.4DQCh. 41 - Prob. 41.5DQCh. 41 - Prob. 41.6DQCh. 41 - Prob. 41.7DQCh. 41 - In the ground state of the helium atom one...Ch. 41 - Prob. 41.9DQCh. 41 - Prob. 41.10DQCh. 41 - Prob. 41.11DQCh. 41 - Prob. 41.12DQCh. 41 - Prob. 41.13DQCh. 41 - Prob. 41.14DQCh. 41 - Prob. 41.15DQCh. 41 - Prob. 41.16DQCh. 41 - Prob. 41.17DQCh. 41 - Prob. 41.18DQCh. 41 - Prob. 41.19DQCh. 41 - Prob. 41.20DQCh. 41 - Prob. 41.21DQCh. 41 - Prob. 41.22DQCh. 41 - Prob. 41.23DQCh. 41 - Prob. 41.1ECh. 41 - Prob. 41.2ECh. 41 - Prob. 41.3ECh. 41 - Prob. 41.4ECh. 41 - Prob. 41.5ECh. 41 - Prob. 41.6ECh. 41 - Prob. 41.7ECh. 41 - Prob. 41.8ECh. 41 - Prob. 41.9ECh. 41 - Prob. 41.10ECh. 41 - Prob. 41.11ECh. 41 - Prob. 41.12ECh. 41 - Prob. 41.13ECh. 41 - Prob. 41.14ECh. 41 - Prob. 41.15ECh. 41 - Prob. 41.16ECh. 41 - Prob. 41.17ECh. 41 - Prob. 41.18ECh. 41 - A hydrogen atom in a 3p state is placed in a...Ch. 41 - Prob. 41.20ECh. 41 - Prob. 41.21ECh. 41 - Prob. 41.22ECh. 41 - Prob. 41.23ECh. 41 - Prob. 41.24ECh. 41 - Prob. 41.25ECh. 41 - Prob. 41.26ECh. 41 - Prob. 41.27ECh. 41 - Prob. 41.28ECh. 41 - Prob. 41.29ECh. 41 - (a) Write out the ground-state electron...Ch. 41 - Prob. 41.31ECh. 41 - Prob. 41.32ECh. 41 - Prob. 41.33ECh. 41 - Prob. 41.34ECh. 41 - Prob. 41.35ECh. 41 - Prob. 41.36ECh. 41 - Prob. 41.37ECh. 41 - Prob. 41.38ECh. 41 - Prob. 41.39PCh. 41 - Prob. 41.40PCh. 41 - Prob. 41.41PCh. 41 - Prob. 41.42PCh. 41 - Prob. 41.43PCh. 41 - Prob. 41.44PCh. 41 - Prob. 41.45PCh. 41 - Prob. 41.46PCh. 41 - Prob. 41.47PCh. 41 - Prob. 41.48PCh. 41 - Prob. 41.49PCh. 41 - Prob. 41.50PCh. 41 - Prob. 41.51PCh. 41 - Prob. 41.52PCh. 41 - Prob. 41.53PCh. 41 - Prob. 41.54PCh. 41 - Prob. 41.55PCh. 41 - Prob. 41.56PCh. 41 - Prob. 41.57PCh. 41 - Effective Magnetic Field. An electron in a...Ch. 41 - Prob. 41.59PCh. 41 - Prob. 41.60PCh. 41 - Prob. 41.61PCh. 41 - Prob. 41.62PCh. 41 - Prob. 41.63PCh. 41 - Prob. 41.64PCh. 41 - Prob. 41.65PCh. 41 - Prob. 41.66PCh. 41 - Prob. 41.67PCh. 41 - Prob. 41.68CPCh. 41 - Prob. 41.69CPCh. 41 - Prob. 41.70PPCh. 41 - Prob. 41.71PPCh. 41 - Prob. 41.72PPCh. 41 - Prob. 41.73PP
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- (a) What is the minimum value of l for a subshell that contains 11 electrons? (b) If this subshell is in the n = 5 shell, what is the spectroscopic notation for this atom?arrow_forward4.a. Show that the most probable value of r ( H-atom radius) in la state is a. b: Write wavefunction of the 2s orbital W2,(r,0.6).arrow_forwardAn electron is in a state for which / 3. One allowed value of L, is h. L is described as a classical vector. At this value, what angle does the vector L make with the +z-axis? O 30.0° O 90.0° O 125° O 73.2°arrow_forward
- Consider a hydrogen atom in the following state: Pn.e.j.m, = P,,33 = R21(r) Y33 P2.1 With the generalized spherical harmonic given by e ± m, + 1/2 e7m, + 1/2 Y Y 1 X+ + E.m2 X- 28 + 1 2e + 1 = (in units of h) Choose. = (in units of h) Choose...arrow_forwardConsider the radial wave function for a hydrogenic system: n = 7 50 100 150 200 r a. What is the angular momentum letter of the orbital? b. What is the numerical value of the magnitude of the orbital angular momentum? For h use the value 1.0545718 × 10-34 Js. Js c. What are the possible values of the quantum number for the z-component of the orbital angular momentum? Enter as a comma separated list from least to greatest (e.g. ...,-1,0,1,2,... ): d. Is there a difference in the electron's energy if it were in an 4p orbital instead of the orbital it is actually in as indicated by the above wave function? yes no N psi(x) -0.1 0.1 0.2 0.3arrow_forwardThe radial wave function for the 5f orbital can be expressed as: Rn (r) = Ne-r/5 p3 (8-4) where N is a normalization constant. a. What is n? n = a. What is l? = c. How many nodes does this wave function have? # nodes= d. Compute the numerical value of the integral Jo I 2 Rn,Kr) Rn,(r) dr :arrow_forward
- How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possible orientations of the orbital angular momentum with l=4? What is the smallest z-component of the orbital angular momentum?arrow_forwardThe lifetime of the 4P1/2 state of potassium is 27.3 ns.What are the Einstein A and B coefficients for the transition? What is the transition dipole moment in debye?arrow_forwardA Construct the wavefunction V(r, 0, ¢) for an H atoms' electron in the state 2pz. Please note that in order to have a real-valued wavefunction of pr orbital(see below), you need to do a linear superposition of the corresponding spherical harmonics for the angular part. Use the spherical harmonics table below. Show that the superposition you selected indeed results in a real orbital; however, you do not need to simplify the expressions further or normalize the wavefunction. Px 1/2 Yg = ()"" (5 cos 0 -3 cos 0) cos e %3D (4x 21 12 64л/ 1/2 sin e (5 cos? e- 1)eti 87 -y Y = (3 cos²0 – 1) 105 1/2 32 sin e cos de2ie (167 15 12 sin e cos betie 35 12 (647 sin de i B Now consider an excited state of He atom with electron configuration 1s 2s'. In general, the wavefunction is a state: V(r, 0, 0, 02) = V(r,0, ø)V.. where V(r, 0, 6) and V,, represent the spatial and the spin part. The spatial part is constructed from the wavefunctions of the 1s' and 2s' orbitals denoted as o (r, 0, ø) and o (r, 0,…arrow_forward
- Consider 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_forwardMeasurements made on the line spectrum emitted by a certain atom of intermediate Z show that the ratio of the separation energies between three adjacent levels of increasing energy in a particular multiplet is approximately 3 to 5 (that is the energy difference between the second and the third member of the multiplet is 5/3 of the energy difference between the first and the second member of the multiplet.) a) What are the j' quantum number that can be assigned to these states? b) What is the l' quantum number that can be assigned to these states? c) What is the s' quantum number that can be assigned to these states?arrow_forward12QM. Please answer question throughly and detailed.arrow_forward
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