Atomic Structure Question 200

Question: The total spin and magnetic moment for the atom with atomic number 7 are:

Options:

A) $ \pm 3,,\sqrt{3}BM $

B) $ \pm 1,,\sqrt{8}BM $

C) $ \pm \frac{3}{2},,\sqrt{15}BM $

D) $ 0,\sqrt{8}BM $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Atomic number = 7 Structure is $ 1s^{2},2s^{2},2p^{3} $

$ [1],[1],[1] $ n=3 Total spin = $ \pm \frac{1}{2}n=\pm \frac{1}{2}\times 3=\pm \frac{3}{2} $ Magnetic moment = $ \sqrt{n(n+2)} $

$ =\sqrt{3(3+2)}=\sqrt{15} $ BM



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