The shortest wavelength of the Brakcet sereis of a hydrogen-like atom (atomic number = z ) is the same as the shortest wavelength of the Balmer series of hydrogen atom. Find the value of z .

Step-by-step solution

E Z ^2 n ^2 In series limit of bracket axis, transition is for n= to n=4 In series limit of Balmer sereis, transition for n= to n=2 h v_ bracket =13.6 Z ^2 [ 1 16 ] h v_ Balmer =13.6 [ 1 4 ] 13.6 Z^2 16 = 13.6 4 =Z=2