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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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प्रश्न

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

संख्यात्मक

उत्तर

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`
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