Question

what are the significance of Principle quantum number​

Answer 1

Answer:

The numerals, called principal quantum numbers, indicate energy levels as well as relative distance from the nucleus. A 1s electron occupies the energy level nearest the nucleus. A 2s electron, less strongly bound, spends most of its time farther away from the nucleus

Explanation:

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Answer 2

A set of numbers used to provide a complete description of an electron in an atom are known as quantum number.

Principle quantum number

$\bigstar$ principle quantum number (n) was introduced by Niel's Bohr.

$\bigstar$ The principal quantum number is a positive integer with value of n = 1,2,3.... ∞

Significance :

$\bigstar$ The principal quantum number determines the size of the orbit. Radius of nth orbit = 0.529 × 10¯⁸n² cm.

$\bigstar$ It gives an idea about the number of orbitals present in the shell which is equal to n².

$\bigstar$ It determines the energy of the orbit.

$\sf Energy (E_n) = - \dfrac{13.6}{ {n}^{2} } eV/atom$

$\sf E_n = - \dfrac{21.72 \times {10}^{ - 12} }{ {n}^{2} } erg/atom$

$\sf E_n = - \dfrac{313.6 }{ {n}^{2} } K \: Cal/mole$

$\sf E_n = - \dfrac{1312 }{ {n}^{2} } K \: J/mole$