Question

The energy necessary to remove the electron from n = 10 state in hydrogen atom will be

Answer 1

✴ Solution :-

▶ Given :

Principle quantum no. of electron = 10

▶ To Find :-

Energy requires to remove the electron from 10th state of hydrogen atom.

▶ Concept :-

This question is completely based on concept of total energy associated with electron.

First we have to calculate binding energy (total energy) of electron in 10th orbit.

Formula of total energy of electron is given by

$\underline{\boxed{\bf{\pink{E=-13.6\dfrac{z^2}{n^2}\:eV}}}}$

• E denotes total energy of electron
• z denotes atomic number
• n denotes principle quantum number of electron

▶ Calculation :-

$\implies\sf\:E=-13.6\dfrac{(1)^2}{(10)^2}\\ \\ \implies\sf\:E=-\dfrac{13.6}{100}\\ \\ \implies\bf\:E=-0.136\:eV$

☞ Negative sign of total energy shows binding energy of electron.

☞ Energy requires to remove the electron = + 0.136 eV