Structure of Atom · JEE Preparation Chemistry

Which of the following sets of quantum numbers is not permissible?

Practice question from Structure of Atom (JEE Preparation Chemistry), with the correct answer and a step-by-step solution.

easy · MCQ · Q-7C9CC2

Which of the following sets of quantum numbers is not permissible?

  1. A.n = 3, l = 2, m = -2, s = +1/2
  2. B.n = 2, l = 1, m = 0, s = -1/2
  3. C.n = 1, l = 0, m = 0, s = +1/2
  4. D.n = 3, l = 3, m = -3, s = +1/2Correct answer

Solution

For any principal quantum number nn, the azimuthal quantum number ll can have values from 00 to n−1n-1. When n=3n = 3, the maximum value of ll can be 22 (s=0,p=1,d=2s=0, p=1, d=2). Therefore, l=3l = 3 is not permissible for n=3n = 3.

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