The electron in the lowest (n = 1) orbit in hydrogen atom has energy - 13.6 eV. How much energy is required to ionize a hydrogen atom which is already in the first excited level?

Question

The electron in the lowest (n = 1) orbit in hydrogen atom has energy - 13.6 eV. How much energy is required to ionize a hydrogen atom which is already in the first excited level? (A) 3.4 eV (B) 10.2 eV (C) 13.6 eV (D) 1.9 eV

Tardigrade Admin · Accepted Answer

Ionisation energy E=(-13.6/n2) eV For first excited state n=2 So, E=(-13.6/22)=3.4 eV =3.4 eV (numerically)

Q. The electron in the lowest $(n = 1)$ orbit in hydrogen atom has energy - $13.6 e V$ . How much energy is required to ionize a hydrogen atom which is already in the first excited level?

3.4 eV

10.2 eV

13.6 eV

1.9 eV

Ionisation energy $E = \frac{- 13.6}{n ^{2}} e V$
For first excited state $n = 2$
So, $E = \frac{- 13.6}{2 ^{2}} = 3.4 e V$
$= 3.4 e V$ (numerically)

Q. The electron in the lowest (n=1) orbit in hydrogen atom has energy - 13.6eV. How much energy is required to ionize a hydrogen atom which is already in the first excited level?