Find the ratio of wavelengths of first line of Lyman series and second line of Balmer series

Explanation

`1/lambda k_(a) = R_(H) (1/1^(2)-1/2^(2))`
`1/ lambda beta = R_(H) (1/2^(2) - 1/4^(2))`
`lambda_(ka) /lambda_(beta) = (16-4)xx4xx1/4xx16(4-1) = 12/16xx3 = 1/4`