To what series does the spectral lines of atomic hydrogen belong if its wavenumber is equal to the difference between the wavenumbers of the following two lines of the Balmer series: `486.1` and `419.2 nm`? What is the wavelength of that line?

Answer

Brackett ; `2.63xx10^(4)cm`

Explanation

`V_(2)=V_(0)xx(1)/(2)=(V_(0))/(2)" "r=r_(0)xx4`
`N=((v_(0)//2)xx10^(-8))/(2pixx4r_(0))" "lambda_(p)=(0.286)/(sqrt(V))Å`
`lambda_(oo)=(101)/(sqrt(V))Å`