The quantum transition responsible for producing the fourth spectral line of the Brackett series in

Question

The quantum transition responsible for producing the fourth spectral line of the Brackett series in the hydrogen emission spectrum is from the

Professor PC Thomas Classes · Answer

(a) : The Brackett series is characterized by electronic transitions terminating exclusively at the $n_1 = 4$ state. The first line of this series originates from $n_2 = 5$, the second from $n_2 = 6$, the third from $n_2 = 7$, and consequently, the fourth distinct spectral line originates precisely from the $n_2 = 8$ orbit.