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When is Hα Line in the Emission Spectrum of Hydrogen Atom Obtained? Calculate the Frequency of the Photon Emitted During this Transition. - Physics

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Numerical

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

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Solution

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

 line in the emission spectrum of hydrogen atom is obtained in  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`
Concept: Hydrogen Spectrum
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