The total energy of an electron in the ground state of hydrogen atom is `- 13.6 eV`. The potiential energy of an electron in the ground state of `Li ^(2+)` ion will be

Options

A. `122.4 eV`
B. `-122.4 eV`
C. `244.8 eV`
D. `-244.8 eV`

Answer

D

Explanation

`E_(p) = - (ke^(2))/(r )`
`E_(p) =- (ke^(2))/(2r)`
`E_(p) = 2E`
`E_(p) =2(-13.6)eV =- 27.2eV`
Potential energy of electron in the ground state of `Li^(2+)` ion is `-3^(2) xx27.2eV` or `-244.8 eV`