Question

When is H_α line in the emission spectrum of hydrogen atom obtained? Calculate the frequency of the photon emitted during this transition.

Answer 1

Energy of an electron in the nth orbit hydrogen atom is given by ,
`E_n = -13.6//n^2eV`

Hα​ line in the emission spectrum of hydrogen atom is obtained in $3\to 2$ transition. 

Frequency of photon obtained in the transition is given by:

`DeltaE = hf = -13.6 (1/9 - 1/4) eV`

 

`DeltaE = (13.6xx5)/36 xx 1.6 xx 10^(-19) J`

 

`f = (DeltaE)/h = (13.6xx5xx1.6xx10^(-19))/(36xx6.6xx10^(-34)`

 

`f = 4.558  xx 10^(14) Hz`