MCQ
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 $( E )$
  • $( A ),( C )$ and $( D )$
  • D
    $( A ),( B ),( C )$ and $( D )$

Answer

Correct option: C.
$( A ),( C )$ and $( D )$
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 $=2 \ell+1=11$

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