Atomic Structure Question 305

Question: If the subsidiary quantum number of a subenergy level is 4, the maximum and minimum values of the spin multiplicities are:

Options:

A) 9, 1

B) 10, 1

C) 10, 2

D) 4,- 4

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ l=4; $ number of degenerate orbitals $ =2l+1=9; $ maximum total spins $ =9\times \frac{1}{2} $ maximum multiplicity $ =2s+1 $

$ =2\times \frac{9}{2}+1=10 $ minimum total spins $ =\frac{1}{2} $ minimum multiplicity $ =2\times \frac{1}{2}+1=2 $



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