41.3k views
5 votes
State which of the following set of quantum number would be possible and which would be permissible for an electron in an atom.

a) n=3, l=3, m l =+3 , m s = +1/2
b) n=3, l=0, m l =+1 , m s = - 1/2
c) n=5, l=4, m l =+3 , m s = 1
d) n=0 ,l=0, m l = 0 , m s = +1/2
e) n=4, l=3, m l = - 2 , m s = - 1/2

User Skd
by
8.4k points

1 Answer

4 votes

Answer:

The correct option is: e) n=4, l=3,
m_(l) = - 2 ,
m_(s) = - 1/2

Step-by-step explanation:

The four quantum numbers that describe the electrons in an atom are: The principal: n, azimuthal: l, magnetic: m, and spin: s.

For a given electron, the values of the quantum numbers should be in the given range- principal quantum number: n ≥ 1;

azimuthal quantum number: 0 ≤ l ≤ n − 1;

magnetic quantum number: −l ≤
m_(l) ≤ +l;

spin quantum number: −s ≤
m_(s) ≤ +s

Now, for n= 4,

The value of l: 0 to n − 1 = 0 to 3 = 0, 1, 2, 3

The value of
m_(l)
for l= 3 : -3 to +3 = -3, -2, -1, 0, +1, +2, +3

The value of
m_(s)
: -1/2, +1/2

Therefore, the given set of quantum numbers: n=4, l=3,
m_(l) = - 2 ,
m_(s) = - 1/2; are possible and permissible for an electron in an atom.

User Martin Kleppmann
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.