Calculate the Rydberg constant ` R_H` if `He^+` ions are known to have the wavelength difference between the from ( of the longest wavength ) lines fo Balmer and Lyman series equal to ` 133.7 nm`.

Answer

`1.096xx10^(7)m^(-1)`

Explanation

`3rarr2`
`(1)/(lambda_(1))=R_(H)xxZ^(2)[(1)/(n_(1)^(2)-(1)/(n_(2)^(2)))]=R_(H)xx4[(1)/(4)-(1)/(9)]..(i)`
`2rarr 1 (1)/(lambda_(2))=R_(H)xx4[(1)/(1)-(1)/(4)]" "…(ii)`
`(lambda_(1)-lambda_(2)) = 133.7nm" "…(iii)`
we will solve the three equation and we will get
`R=1.096xx10^(7)m^(-1)`