Question

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

• A. $1.36eV$
• B. $0.0136eV$
• C. $13.6eV$
• D. $0.136eV$

Answer 1

The correct option is D $0.136eV$

The energy of $n^{th}$ is: $E_n=\frac{-13.6}{(n{)}^2}$
Hence, the energy of ${10}^{th}$ is:
$E_{10}=\frac{-13.6}{(10{)}^2}$

$E_{10}=\frac{-13.6}{100}$

$E_{10}=-0.136eV$

Electron binding energy is a measure of the energy required to free electrons from their atomic orbits. Hence, the binding energy should not be less than total energy of electron in its orbit.
$BE=-TE$
Hence, the required energy to remove the electron from n = 10 state in hydrogen atom is $0.136eV$.