The energy (in W) required to excite an electron from n = 2 to n = 4 state in hydrogen atom

Options

A. `+2.55`
B. `-3.4`
C. `-0.85`
D. `+4.25`

Answer

A

Explanation

We know that,
`E_(n)=(13.6)/(n^(2))`
According to question, the required energy is
`E=E_(2)-E_(4)`
`=(13.6)/((2)^(2))-(13.6)/(4^(2))=(13.6)/(4)-(13.6)/(16)`
`=((13.6xx4)-13.6)/(16)`
`= (40.8)/(16)=+2.55`