College Physics: Explore And Apply, Volume 2 (2nd Edition)
2nd Edition
ISBN: 9780134862910
Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic
Publisher: PEARSON
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Chapter 28, Problem 25CQ
To determine
The allowed value for the orbital quantum number
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1.
a. What is the total number of orbitals associated with the principal quantum number n=1?
b. What is the total number of orbitals associated with the principal quantum number n=2?
c. What is the total number of orbitals associated with the principal quantum number n=3?|
d. What conclusion can be drawn from total number of orbitals associated with a given principal
quantum number?
2. List the values of n, {, m, for an orbital in the 4d subshell.
Suppose that an atom has (a) 4, (b) 5 electrons in different orbitals. What are the possible values of the total
spin quantum number S? What is the multiplicity in each case.
The 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 :
Chapter 28 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
Ch. 28 - Prob. 1RQCh. 28 - Prob. 2RQCh. 28 - Prob. 3RQCh. 28 - Prob. 4RQCh. 28 - Prob. 5RQCh. 28 - Prob. 6RQCh. 28 - Prob. 7RQCh. 28 - Prob. 8RQCh. 28 - Prob. 1MCQCh. 28 - Prob. 2MCQ
Ch. 28 - Prob. 3MCQCh. 28 - Prob. 4MCQCh. 28 - Prob. 5MCQCh. 28 - Prob. 6MCQCh. 28 - Prob. 7MCQCh. 28 - Prob. 8MCQCh. 28 - Prob. 9MCQCh. 28 - Prob. 10MCQCh. 28 - Prob. 11MCQCh. 28 - Prob. 12MCQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 16CQCh. 28 - Prob. 17CQCh. 28 - Prob. 18CQCh. 28 - Prob. 19CQCh. 28 - Prob. 20CQCh. 28 - Prob. 21CQCh. 28 - Prob. 22CQCh. 28 - Prob. 23CQCh. 28 - Prob. 24CQCh. 28 - Prob. 25CQCh. 28 - Prob. 26CQCh. 28 - Prob. 27CQCh. 28 - Prob. 28CQCh. 28 - Prob. 29CQCh. 28 - Prob. 30CQCh. 28 - Prob. 31CQCh. 28 - Prob. 32CQCh. 28 - Prob. 33CQCh. 28 - Prob. 34CQCh. 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 - 28.4 Lasers (a) A laser pulse emits 2.0 J of...Ch. 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. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50PCh. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - Prob. 54PCh. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58PCh. 28 - Prob. 59GPCh. 28 - Prob. 60GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66GPCh. 28 - Prob. 67GPCh. 28 - Prob. 68RPPCh. 28 - Prob. 69RPPCh. 28 - Prob. 70RPPCh. 28 - Prob. 71RPPCh. 28 - Prob. 72RPPCh. 28 - Prob. 73RPPCh. 28 - Prob. 74RPPCh. 28 - Prob. 75RPPCh. 28 - Prob. 76RPPCh. 28 - Prob. 77RPPCh. 28 - Prob. 78RPP
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- A 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_forwardHow do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun? Explain how the correspondence principle applies here.arrow_forwardHow many subshells are in the n=3 shell? Identify each subshell, calculate the maximum number of electrons that will fit into each, and verify that the total is 2n2.arrow_forward
- We want to look at the angular momentum structure of one electronic level of an atom. a. The atom has orbital angular momentum L, electron spin angular momentum S and nuclear angular momentum I. For very large magnetic fields B, what are the quantum numbers and energies? b. In addition to the static B field along the z axis, we add a transverse oscillating magnetic field. Which states are now coupled by the oscillating field, i.e. between which states are transitions induced?arrow_forward(b) Look very carefully at the picture below. Give the relevant quantum numbers. Explain your answer. y-axisarrow_forwardAn electron is in a three-dimensional box with side lengths LX = 0.600 nm and LY = LZ = 2LX. What are the quantum numbers nX, nY, and nZ and the energies, in eV, for the four lowest energy levels? What is the degeneracy of each (including the degeneracy due to spin)?arrow_forward
- Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (?),(n), the angular momentum quantum number (?),(?), the magnetic quantum number (??),(m?), and the spin quantum number (?s)(ms) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. A. ?=4,n=4, ?=1,?=1, ??=2,m?=2, ?s=−1/2ms B.?=3,n=3, ?=−1,?=−1, ??=1,m?=1, ?s=−1/2ms C.?=5,n=5, ?=2,?=2, ??=2,m?=2, ?s=+1/2ms D.?=3,n=3, ?=3,?=3, ??=1,m?=1, ?s=−1/2ms E.?=2,n=2, ?=1,?=1, ??=1,m?=1, ?s=0ms F. ?=3,n=3, ?=1,?=1, ??=1,m?=1, ?s=+1/2arrow_forwardFor an electron in a 3d state, determine (a) the principle quantum number and (b) the orbital quantum number. (c) How many different magnetic quantum numbers are possible for an electron in that state?arrow_forwarda) What is the magnitude of angular momentum of 3d-2 orbital of H-atom. b) Given that the spin functions, a(@) and B(@), are eigenfunctions of s' and S, operators. Find the eigenvalues of S' and S, when applied to a (@) and B(@) spin functions.arrow_forward
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