Maximum wavelength in balmer series of hydrogen spectrum is
Maximum wave length is obtained when the electrons transition is from n1= 3 to n2= 2
Minimum wave Length is obtained when the electrons transition is from
n1= 2 to n2= infinite
As you know, to calculate the wavelengths, we have equation, R[1/n12 - 1/n22]
So for maximum wavelength
R[1/22 - 1/32] which on simplification gives 6568 angstroms
For minimum wavelength
R[1/22 - 1/infinite] which ultimately gives 3636 angstroms
Hence, Max wavelength is 6568 and min wavelength is 3636.