Concept explainers
To calculate:
(a) the number of sub-shells for n = 2
(b) the electron states n = 2
(c) the number of sub-shells for n = 5
(d) the electron states n = 5
Answer to Problem 1Q
Solution:
(a) For n = 2, it has 2 sub shells.
(b) For n = 2, there will be 8 electron states.
(c) For n = 5, it has 5 sub shells.
(d) For n = 5, there will be 50 electron states
Explanation of Solution
For a given quantum number n there are n possible values of l, ranging from 0 to n −1.
For each l the number of possible electron states with ml values is (2l + 1).
For each ml the electron can have two different spin orientations.
Thus, the total number of electron states for a given l is given by Nl = 2(2 l+ 1).
(e) For n = 2, it has 2 sub shells.
(f) For n = 2, the number of electrons 2n2, there will be 8 electron states.
(g) For n = 5, it has 5 sub shells.
(h) For n = 5, the number of electrons 2n2, there will be 50 electron states
Conclusion
For an l quantum number, there are (2l+1) number of possible ml values.
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Chapter 40 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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