Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term
10th Edition
ISBN: 9781337888516
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41.4, Problem 41.4QQ
To determine
The number of different values of
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Suppose two electrons in an atom have quantum numbers n= 2 and L=1 . (a) How many states are possible for those two electrons? (Keep in mind that the electrons are indistinguishable.) (b) If the Pauli exclusion principle did not apply to the electrons, how many states would be possible?
Chapter 41 Solutions
Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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- The magnitude of the orbital angular momentum of an electron in an atom is L=20 . How many different values of Lz are possible?arrow_forward真東 崩 直道 軍 廈 ■ ! 南農 For each of the following sets of quantum numbers, indicate the quantum number with an UNALLOWED value. a) n = 6 | = 4 ml = -2 ms = 2 O n Oml ms b) n = 3 | = 4 ml = 3 ms = Oml ms c) n = 6 | = 5 ml = -7 ms = + O n 01 ml U ms 1/2 1/2arrow_forwardIf the orbital angular momentum of an atom is 2 and the perpendicular momentum is 5/2, then the number of possible values of the total angular momentum are 10:35 صarrow_forward
- H-atom. The wave function of one of the electrons in the 2p orbital is given by (ignoring spin) 1 r (-2) Cos cos 2,1,0 (r, 0,0) = . 2πT · do |32πα P(r)dr = Where ao is the Bohr radius. In the Bohr model, the radius of the electron orbit is given by ™-2 n²ao = 4ao. The probability that the electron can be found at some radius between r and r + dr is given by r ao TU $ST -exp sin 0 d0 | Yn.l.m² (r, ¢, 0)|²r² dr = What is the most probable distance of the electron from the nucleus? Clue: Most probable r is located at a local maxima of the probability density P(r). Thus, solve for r in a,P(r) = 0arrow_forwardForm factor of atomic hydrogen. For the hydrogen atom in its ground state, the number density is n(r) = (ra)¯ exp(-2r/a), where a, is the Bohr radius. Show that the form factor is fc = 16/(4 + G*a)*. %3Darrow_forwardThe quantum mechanical model of the hydrogen atom requires that if the principal quantum number is 6, there will be how many different permitted orbital quantum number(s)?arrow_forward
- The energy of the n = 2 Bohr orbit is -30.6 eV for an unidentified ionized atom in which only one electron moves about the nucleus. What is the radius of the n = 3 orbit for this species? Number i Units >arrow_forwardIn the quantum mechanical treatment of the hydrogen atom, which one of the following combinations of quantum numbers is not allowed? a) n=3, l=0, ml=0 b) n=3, l=1, ml= -1 c) n=3, l=2, ml= 2 d) n=3, l=2, ml= -1 e) n=3, l=3, ml=2arrow_forwardAn electron is in a state with n = 3.What are (a) the number of possible values of , (b) the number of possible values of ML , (c) the number of possible values of ms, (d) the number of states in the n = 3 shell, and (e) the number of subshells in the n = 3 shell?arrow_forward
- Assuming that only a single electron is present and a Bohr model, calculate the mean radius, orbital velocity, and energy of a N=1 electron of hydrogen N=4 electron for lead N=1 electron for plutonium N=1 electron for an element with Z = 142arrow_forwardH-atom. The wave function of one of the electrons in the 2p orbital is given by (ignoring spin) r 2,1,0 (1,0,0)= - 7 exp(-270) c ao 1 |32πα cose Where do is the Bohr radius. In the Bohr model, the radius of the electron orbit is given by m=2 = n²ao = 4ao. The probability that the electron can be found at some radius between r and r + dr is given by 2π P(r) dr = √2 = √ ₁²ª d$ S ² What is the expectation value of the distance of the electron from the nucleus (r)? Clue: expected value is computed by (r) = forP(r) dr then do integration by parts do sin 0 de | Yn.l.m² (r, $,0)|²r² drarrow_forwardA hydrogen atom is placed in a magnetic field. Which of the following quantities are affected? (a) total energy; (h) angular momentum; (c) z-component of angular momentum; (d) polar angle.arrow_forward
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