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Numerical

When is H_{α} 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`

$H_{α}$ line in the emission spectrum of hydrogen atom is obtained in $3→2$ 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`

Concept: Hydrogen Spectrum

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