Find the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from ( nᵢ = 6 ) to ( n_f = 2 ).
a) ( 3/5 ) times the initial wavelength
b) ( 5/3 ) times the initial wavelength
c) ( 2/5 ) times the initial wavelength
d) ( 5/2 ) times the initial wavelength