Which hydrogen ionic species has wavelength difference between the first line of the balmer and first line of the lyman series equal to `859.3 xx 10^(-9)` m ?Negative the reduced mass effect

Explanation

Wave number of first balmer lie of an species with atomic number `Z` is gives by
`bar v = RZ^(2)[(1)/(1^(2)) - (1)/(2^(2))] = (3)/(4) RZ^(2), bar v = (1)/(lambda)` and `bar v = (1)/(lambda)`
`:. Lambda' = lambda = (36)/(5RZ^(2)) - (4)/(3RZ^(2)) = (1)/(RZ^(2))[(36)/(5) - (4)/(3)] = (88)/(15RZ^(2))`
`:. Z^(2) = (88)/(59.3 xx 15 xx 1.097 xx 10^(7)) = 9`
or `Z = 3`
Hence the ionic species is `Li^(2+)`