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Which one of the following sets of quantum numbers can correctly represent a 3p orbital?a) (n = 3 l = 1, ml = 2)b) (n = 1, l = 3, ml = 3)c) (n = 3, l = 2, ml = 1)d) (n = 3, l = 1, ml = -1)e) (n = 3, l = 0, ml = 1)

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Answer:

d) (n = 3, l = 1, mₗ = -1)  

Explanation:

A 3p orbital must have n = 3.

That eliminates Option (a), because it has n = 1.

A p orbital must have l = 1.

That eliminates Options (b), (c), and (e), because they have l = 3, 2, and 0.

The only correct option is

n = 3, l = 1, mₗ = -1

The set of quantum numbers that represents 3p orbital will be:

d) (n = 3, l = 1, mₗ = -1)  

Quantum number:

There are a total of four quantum numbers:

  • the principal quantum number (n),
  • the orbital angular momentum quantum number (l),
  • the magnetic quantum number (ml), and
  • the electron spin quantum number (ms)

A 3p orbital must have n = 3.

A p orbital must have l = 1.

Thus, the correct option among the given options will be d.

n = 3, l = 1, mₗ = -1

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