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What is the shortest wavelength present in the Paschen series of spectral lines?

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For Paschen series `n_(1)=3,n_(2)=oo` for shortest wavelength if `lambda_("min")` be the minimum wavlenght in this series of spectral lines, then,
`(1)/(lambda_("min))=R((1)/(3^(3))-(1)/(oo^(2)))=(R)/(9)`
or `" " lambda_("min")=(9)/(R)=(9)/(1.097xx10^(7))m`
`8204.2.xx10^(-10)m`
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