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

For the first of Blamer & Lymam series res pectively for the atom
`(1)/(lambda)=RZ^(2)[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]=4R[(1)/(2^(2))-(1)/(3^(2))]=(5R)/(9)`
`(1)/(lambda)=4[(1)/(3^(2))-(1)/(4^(2))]=(7R)/(36)`
`lambda=lambda_(1)-lambda_(2)=(1)/(R)((36)/(7)-(9)/(5))`
`R=1.09xx10^(7)m^(1)`