By Team Aakash Byju's

Paschen Series in the hydrogen spectrum corresponding to transitions between the states with principal quantum number n = 3 & the next higher states.

The shortest wavelength of the Paschen series is

The pictorial representation of the Paschen and other series can be seen below:

The wavelength of the lines in all the series in the spectrum is given by Rydberg's formula

n1 is the lower energy state and n2 is the higher energy state. Also, is the wavelength RH is the Rydberg constant whose value is

To calculate the lowest wavelength of the Paschen series, we need to consider n1 as 3 and n2 as and substitute in the above formula.