Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 61P
To determine
The most orbital
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An electron is in an angular momentum state with /= 3.
(a) What is the length of the electron's angular momen-
tum vector? (b) How many different possible z compo-
nents can the angular momentum vector have? List the
possible z components. (c) What are the values of the
angle that the L vector makes with the z axis?
The 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.
What is the magnitude of the orbital angular momentum (in )- s) for a hydrogen atom in each of the following states?
(a) 6f
X J.s
(b) 4
Chapter 36 Solutions
Essential University Physics (3rd Edition)
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - Prob. 10FTDCh. 36 - Prob. 11FTDCh. 36 - Prob. 12FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
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- Check Your Understanding When an election in a hydrogen atom is in the first excited state, what prediction does the Bohr model give about its orbital speed and kinetic energy? What is the magnitude of its orbital angular momentum?arrow_forwardWhat is the maximum number of electron states n = 5 shell?arrow_forwardFor a hydrogen atom in an excited state with principal quantum number n, show that the smallest angle that the orbital angular momentum vector can make with respect to the z-axis is =cos1( n1n) .arrow_forward
- How many polar angles are possible for an electron in the l = 5 state?arrow_forwardAn electron in a hydrogen atom makes atransition from a 5p state to a 4d state. (a) Does the energy of theelectron increase, decrease, or stay the same? Explain. (b) Doesthe magnitude of the electron’s angular momentum increase,decrease, or stay the same? Explain. (c) Calculate the change inthe electron’s energy in eV. (d) Calculate the change in the magnitude of the electron’s angular momentum.arrow_forwardWhat is the probability density for when an electron is in a 3p state in a hydrogen atom?arrow_forward
- (1) What are the possible values of Jz for the62F7/2 state? (2) Determine the minimum angle between the total angular momentum vector and the z axis for this state.arrow_forwardA hydrogen atom is placed in a 2.4 T magnetic field. What are the possible energy values for a 2p electron with and without magnetic field if we dont consider spin?arrow_forwardFor an n= 6 state, how many possible values can m, have?arrow_forward
- Two, each with spin angular momentum S1=1/2 , S2=1/2 and orbital angular momentum l1=1, l2=1 Think electron. (a) What are the possible values of the quantum number L for total orbital angular momentum L=L1 + L2? (b) What are the possible values of the quantum number S for the total spin angular momentum S=S1 + S2 (c) Using the results from (a) and (b), we calculate the possible quantum number J for the total angular momentum. Find J=L + S. (d) Write the spectral term ^{2S＋1}L_{J＝L＋S} using its spectroscopic notationarrow_forwardA certain atom has an electron in the n=4 state with m=1. What is the minimum possible value of l?arrow_forward(a) If two electrons in hydrogen atoms have the same principal quantum number, can they have different orbital angular momenta? How? (b) If two electrons in hydrogen atoms have the same orbital quantum number, can they have different principal quantum numbers? How?arrow_forward
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