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 46P
To determine
The
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3. Calculate the probability to find an electron in the following regions if the electron resides in a 2p:
orbital of a hydrogen atom. The "z" in the equation below is a Cartesian coordinate, not the atomic
number "2" which equals 1 for the hydrogen atom. Use whatever information below is more
convenient.
32 n až ao
13
I and Y(0,4) =:
24 až ao
Vzp, = R(r)Y(0, 4) where R(r) =
(a) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (200, 0, 0).
(b) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (0, 2ao, 0).
(c) Calculate the probability to find an electron in a 1.0 pm' cube centered at the Cartesian point (0, 0, 2a0).
(d) Draw a 2p, orbital in 3D space and include the points of (a), (b), and (c). Explain how your diagram
qualitatively supports the probabilities you calculated.
(e) Calculate the probability to find an electron in a 1.0 pm-thick shell at a radius 2ao from the nucleus.
15
b. Suppose an electron is in a spin state given by x = A().
8i
Find
i. the normalization constant A
ii. (S.)
iii. (S.) and
iv. the probability that a measurement of S, will yield h/2.
3.
eV.
Consider an atom of triply ionized beryllium Be³+ with an energy of -9.704
(a) List all the possible states, excluding spin, of the hydrogen atom with this energy.
(b) What is the degree of degeneracy?
(c) What is the maximum possible angular momentum L (as a multiple of ħ)?
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) How many electrons can be in the n=4 shell? (b) What are its subshells, and how many electrons can be in each?arrow_forwardA beryllium ion with a single electron (denoted Be3+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the Be3+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state?arrow_forward(a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is the spectroscopic notation for this atom, if this subshell is part of the n=3 shell?arrow_forward
- (a) List all possible sets of quantum numbers (n,l,ml,ms) for the n=3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2and that the number in each subshell is 2(2l+1).arrow_forwardc. n= 2, 1 = 0. 2. Calculate the maximum number of electrons that can occupy a shell with (a) n = 2, (b) n = 3, and (c) n as a variable. Note you are only looking at the orbitals with the specified n value, not those at lower energies.arrow_forward1. An electron is in the spin state = A (³1) X = A (b) Calculate the expectations values (Sx), (Sy) and (S₂)arrow_forward
- Which of the following lists of quantum numbers for five states of the hydrogen atom are NOT possible? Choose all that apply. a. n = 3, l = 2, ml = -2 b. n = 3, l = 2, ml = 0 c. n = 3, l = 2, ml = 5 d. n = 4, l = -3, ml = 2 e. n = 1, l = 0, ml = 0arrow_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_forwardRelative to electrons and electron states, what does the I quantum number specify? Select one: a. The electron shell. b. The number of electron states in each electron subshell. c. The electron subshell. d. The number of electrons. e. The spin moment on each electron.arrow_forward
- A hydrogen atom in the ground state absorbs a 13.32-eV photon. To what level is the electron promoted? (The ionization energy of hydrogen is 13.6 eV). a. n = 6 b. n = 5 c. n = 10 d. n = 11 e. n = 7arrow_forwardThe ionization energy of the hydrogen atom is 13.6 eV. What is the energy of a photon emitted corresponding to a transition from the n = 7 to n = 4 state? a. 1.46 eV b. 0.156 eV c. 0.572 eV d. 4.53 eV e. 1.51 eVarrow_forward3. With the aid of an energy level diagram, use the angular momentum selection rules to determine the possible transitions that can de-excite the following states in the H atom. (a) The 4p state. (b) The 5g state.arrow_forward
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