How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom, if the atom is initially in the state with `n = 2` ?

Options

A. `13.6 xx 1.6 xx 10^(-19) J`
B. `3.4 xx 1.6 xx 10^(-19) J`
C. `1.51 xx 1.6 xx 10^(-19) J`
D. `0`

Answer

B

Explanation

The electrosatic `P.E.` is zero when the electron and proton are far apart from each other. Work done in pulling electron and proton far away from each other is
`W = E_(f) - E_(i) = 0 - E_(i) =- (-(13.6)/(n^(2))eV)`
`rArr W = (13.6)/((2)^(2)) xx1.6 xx 10^(-19)J = 3.4 xx 1.6 xx 10^(-19) J`