We use the Rydberg Equation for this which is expressed as:
<span>1/ lambda = R [ 1/(n2)^2 - 1/(n1)^2] </span> where lambda is the wavelength, where n represents the final and initial states. Brackett series means that the initial orbit that electron was there is 4 and R is equal to 1.0979x10^7m<span>. Thus, </span> 1/ lambda = R [ 1/(n2)^2 - 1/(n1)^2] 1/1.0979x10^7m = 1.0979x10^7m [ 1/(n2)^2 - 1/(4)^2]