What is the total number of orbitals present | vedclass

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(D) The $N$ shell corresponds to the principal quantum number $n = 4$.For a given $n$,the possible values of the azimuthal quantum number $l$ range fr

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$16$

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(D) The $N$ shell corresponds to the principal quantum number $n = 4$.For a given $n$,the possible values of the azimuthal quantum number $l$ range from $0$ to $n-1$.Thus,for $n = 4$,$l = 0, 1, 2, 3$ (corresponding to $4s, 4p, 4d, 4f$ subshells).The number of orbitals in a subshell is given by $2l + 1$.For $l = 0$ $(4s)$: $2(0) + 1 = 1$ orbital.For $l = 1$ $(4p)$: $2(1) + 1 = 3$ orbitals.For $l = 2$ $(4d)$: $2(2) + 1 = 5$ orbitals.For $l = 3$ $(4f)$: $2(3) + 1 = 7$ orbitals.Total number of orbitals in $N$ shell $= 1 + 3 + 5 + 7 = 16$.Alternatively,the total number of orbitals in a shell is given by $n^2 = 4^2 = 16$.

What is the total number of orbitals present in $N$ shell?

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