Step 1: Understand hydrogen spectral series.
In the hydrogen atom, spectral series are formed when electrons jump from higher energy levels to a fixed lower energy level.
Different series correspond to different final orbits.
Step 2: Recall the important spectral series.
\[
\text{Lyman series} \rightarrow n_f=1
\]
\[
\text{Balmer series} \rightarrow n_f=2
\]
\[
\text{Paschen series} \rightarrow n_f=3
\]
\[
\text{Brackett series} \rightarrow n_f=4
\]
\[
\text{Pfund series} \rightarrow n_f=5
\]
Step 3: Identify the required series.
The question states that electrons return to the third orbit:
\[
n_f=3
\]
The spectral series corresponding to
\[
n_f=3
\]
is the Paschen series.
Step 4: Final conclusion.
Therefore, the required spectral series is
\[
\boxed{\text{Paschen series}}
\]
Hence, the correct option is
\[
\boxed{(2)}
\]