Question

How many electrons in a single atom can have the following two quantum numbers : n =3, m_l = -2?

A) one

B) two

C) three

D) four

E) five

Answer 1

There are a total of four quantum numbers - n & principal tå azimuthal me magnetic ms a spin two All four cannot be same for an electrons according to Pauli's exclusion principl I m = 1, 2, 3, 4 . indicates principal electron shell, I l = 0, 1,2-.. (n-1) indicates shape of orbital me = -l --- 0 -- tl determines number of orbitals Ste and their orientation ms - 2 - 2 defines spin of electron . for n=38 l= 0, 1, 2 me = -2 ,-), 0, 1, 2 for each me (orbital, there will be two electrons with ms = t - In an atom, only two electrons Option (B) is correct. can have n=3, me = 2

Please comment for any clarification.