If the hydrogen atom is initially at n = 2 state, how much work have to do to move the electron and proton far into the hydrogen atom?

Options

A. `13.6xx1.6xx10^(-19)J`
B. `3.4xx1.6xx10^(-19)J`
C. `1.51xx1.6xx10^(-19)J`
D. 0

Answer

B

Explanation

If there is a large distance between the electrons and protons, then the energy between them is zero. The work done for carrying electrons and protons too far.
`W=E_(f)=E_(i)`
`=[-(13.6)/(oo^(2))-(-(13.6)/(n^(2)))]eV`
`=(13.6)/(2^(2))eV=(13.6)/(4)xx1.6xx10^(-19)J`
`:.W=3.4xx1.6xx10^(-19)J`