Consider the following statements:
$(A)$ The principal quantum number $'n'$ is a positive integer with values of $'n'=1, 2, 3, \dots$.
$(B)$ The azimuthal quantum number $'l'$ for a given $'n'$ (principal quantum number) can have values as $'l'=0, 1, 2, \dots, (n-1)$.
$(C)$ Magnetic orbital quantum number $'m_l'$ for a particular $'l'$ (azimuthal quantum number) has $(2l+1)$ values.
$(D)$ $\pm 1/2$ are the two possible orientations of electron spin.
$(E)$ For $l=5$,there will be a total of $11$ orbitals.
Which of the above statements are correct?

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

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$(b)$ Electron density in the $XY$ plane in $3d_{z^2}$ orbital is zero.
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Specify True or False.

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