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A gas of monoatomic hydrogen is bombarde...

A gas of monoatomic hydrogen is bombarded with a atream of electrons that have been accelerated from rest through a potential difference of `12.75 V`. In the emission spectrum, one can observe lines of

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The energy gained by electrons accelerated form rest through a potential difference of 12.75V
`= 12.75eV`.
`:.` Total energy=`(12.75-13.6)eV=-0.85eV`
If electrons go over to nth state, then
`(-13.6)/(n^2)=-0.85`
`n^2=(-13.6)/(-0.85)=16, n=sqrt(16)=4`.
i.e., electron is shifted to 4th stationary orbit of hydrogen atom. The possible transitions are
(i) `n_1=1 , n_2=4,3,2` first three members of Lyman series
(ii) `n_1=2 , n_2=3,4` first two members of Balmer sereis
`n_1=3, n_2=4` 1st member of Pashen series.
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