Question

When the value of principal quantum number n is 3, then the permitted value of azimuthal quantum numbers $l$ and magnetic quantum numbers 'm' are ?

• A. $l$ = 0, 1, 2. ; m = 0,+1,-1,+2,-2
• B. $l$ = 1, 2, 3. ; m = 1, +2, 1, -2, +3, +2, 1, -2, -3
• C. $l$ = 0, 1 , 2 ; m = 0, 1, 2 ,3 ,2 ,0, 1,, 2, +3, +2, 1, -2, -3.
• D. $l$= 1 ,3 ; m = 0, 1, 0, 1, 2, 3

Answer 1

The correct option is A $l$ = 0, 1, 2. ; m = 0,+1,-1,+2,-2

When the value of principal quantum number n is 3 the permitted value of azimuthal quantum numbers $l$ and magnetic quantum numbers 'm' are $l$ = 0, 1, 2 m = 0,+1,0,-1,+2,+1,0,-1,-2
For a given value of the principal quantum number, the azimuthal quantum number l can values 0,1 ,2....n-1.
For a given value of azimuthal quantum number, the magnetic quantum number m can take values $-l,.....-2,-1,0,+1,+\mathrm{2.....}+l$