The potential energy of the electron present in the ground state of ` Li^(2+)` ion is represented by :

Options

A. `(3e^(2))/(8pi in_(0)r)`
B. `-(3e^(2))/(8pi in_(0)r)`
C. `(3e^(2))/(4pi in_(0)r)`
D. `-(3e^(2))/(4pi in_(0)r)`

Answer

A

Explanation

`(He^(+))_(2 rarr 4)=(Li^(2+))_(n_(4) rarr n_(3))`
`:. Z_(1)/Z_(2)=n_(2)/n_(4)=n_(1)/n_(3)` or `2/3=1/n_(4)=4/n_(3)`
`:. n_(4)=3` and `n_(3)=6`.
`:.` Transition in `Li^(2+)` ion `=3 rarr 6`