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Lina20 [59]
3 years ago
13

State which of the following set of quantum number would be possible and which would be permissible for an electron in an atom.

Chemistry
1 answer:
raketka [301]3 years ago
5 0

Answer:

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

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 <u>given range</u>- 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

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

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