Which of the following set of quantum numbers correctly describes an electron in a 5d orbital? A) n = 5, l = 3, ml = +3, ms = +1/2 B) n = 5, l = 2, ml = 0, ms = +1/2 C) n = 5, l = 2, ml = +3, ms = +1/2 D) n = 5, l = 3, ml = +2, ms = +1 E) n = 5, l = 2, ml = +2, ms = +1

Respuesta :

Answer:

B.[tex]n=5, l=2,m_l=0,m_s=+\frac{1}{2}[/tex]

Step-by-step explanation:

We are given that an electron in a 5d orbital

We have to find the set of quantum numbers correctly describes an electron in a 5d orbital.

We know that

n=Principle quantum number

Therefore, n=5

Angular momentum quantum number =l=0,1,2,3,..(n-1)

l=0 =s-orbital

l=1=p- orbital

l=2=d=orbital

l=3=f orbital

Therefore, l=2

Magnetic quantum number=[tex]m_l=-l,..,0,..l[/tex]

[tex]m_l=-2,-1,0,1,2[/tex]

5d orbital have only one electron Magnetic quantum number have no fixed values

Therefore,we can take  [tex]m_l=0[/tex]

Spin quantum number[tex]m_s=\pm\frac{1}{2}[/tex]

5d orbital have only one electron .Then, it has spin-up

Therefore, [tex]m_s=+\frac{1}{2}[/tex]

Answer:B.[tex]n=5, l=2,m_l=0,m_s=+\frac{1}{2}[/tex]