Question

Consider the following statements :
(A) The principal quantum number ' $n$ ' is a positive integer with values of ' $n$ ' $=1,2,3, \ldots .$
(B) The azimuthal quantum number ' $l$ ' for a given ' $n$ ' (principal quantum number) can have values as $' l '=0,1,2, \ldots n$
(C) Magnetic orbital quantum number ' $m _{l}$ ' for a particular ' $l$ ' (azimuthal quantum number) has ( $2 l$ $+1)$ values.
(D) $\pm 1 / 2$ are the two possible orientations of electron spin.
(E) For $l=5$, there will be a total of $9$ orbital.
Which of the above statements are correct?

• A. (A), (B) and (C)
• B. (A), (C), (D) and (E)
• C. (A), (C) and (D)
• D. (A), (B), (C) and (D)

Answer 1

Answer: (C)

(A) Number of values of $n =1,2,3 \ldots \infty$
(B) Number of values of $\ell=0$ to $( n -1)$
(C.) Number of values of $m =-\ell$ to $+\ell$
Total values $=2 \ell+1$
(D) Values of $\operatorname{spin}=\pm \frac{1}{2}$
(E) For $\ell=5$ number of orbitals $=2 \ell+1=11$