Define the principal quantum number $(n)$.

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The principal quantum number $(n)$ is a positive integer $(n = 1, 2, 3, \dots)$ that describes the main energy level or shell of an electron in an atom.
Key characteristics of the principal quantum number $(n)$:
$1$. It determines the size of the orbital and,to a large extent,its energy.
$2$. As the value of $n$ increases,the electron is located further from the nucleus,and the energy of the orbital increases.
$3$. The total number of orbitals in a given shell is given by $n^{2}$.
Representation of shells:
Main shell $(n)$ $1$ $2$ $3$ $4$
Symbol (shell) $K$ $L$ $M$ $N$
No. of orbitals $(n^{2})$ $1$ $4$ $9$ $16$

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Similar Questions

Explain,giving reasons,which of the following sets of quantum numbers are not possible.
$(a)$ $n=0, l=0, m_{l}=0, m_{s}=+\frac{1}{2}$
$(b)$ $n=1, l=0, m_{l}=0, m_{s}=-\frac{1}{2}$
$(c)$ $n=1, l=1, m_{l}=0, m_{s}=+\frac{1}{2}$
$(d)$ $n=2, l=1, m_{l}=0, m_{s}=-\frac{1}{2}$
$(e)$ $n=3, l=3, m_{l}=-3, m_{s}=+\frac{1}{2}$
$(f)$ $n=3, l=1, m_{l}=0, m_{s}=+\frac{1}{2}$

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