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