Calculate the shortest wavelength of light emitted in the Paschen series of hydrogen spectrum. Which part of the electromagnetic spectrum, does it belong ? ( Given : Rydberg constant , R = `1.1 xx 10^(7)m^(-1)`

Explanation

The wave number of the spectral lines forming Paschen series is given by
`vec(v)=1/lambda=R(1/3^(2)-1/n_(i)^(2)).n_(i)=4,5,6,...`
The shortest wavelength of the spectral lines (series limit) of Paschen series is given by
`1/(lambda Pa_(min)) =R(1/3^(2)-1/(oo^(2)))= R//9 rArr lambda Pa_min=9/R`
`9//_1.1xx 10^(7)=8199A^(@)`
The series lies in infrared region of em spectrum.