The Rydberg constant for hydrogen is `1.097 X 10^(7) ms^(-1)`. Calculate the short and long wavelength limits of Lyman series.
Data: `R=1.097xx10^(7)ms^(-1)`
For short wavelength limit of Lyman Series,
`n_(f)=1,n_(i)=oo, lambda_(s)=?`
For long wavelength limit of Lyman series,
`n_(f)=1, n_(i)=2, lambda_(i)=?`

Explanation

The wave number for Lyman series is,
`barv=R[(1)/(n_(f)^(2))-(1)/(n_(i)^(2))]`
For short wavelength limit,
`barv=(1)/(lambda_(s))=R[(1)/(1^(2))-(1)/((oo)^(2))]=R`
(or) `lambda_(s)=(1)/(R)=(1)/(1.097xx10^(7))=911.6Å`
For long wavelength limit
`barv_(1)=(lambda)/(R)=(4)/(3xx1.097xx10^(7))`
`lambda_(i)=1215Å