Step 1: Write the nuclear reaction for \(\beta^+\)-decay.
When a proton converts into a neutron, the reaction is
\[
p \rightarrow n+e^++\nu_e,
\]
where
\[
e^+
\]
is a positron and
\[
\nu_e
\]
is an electron neutrino.
Step 2: Identify the emitted particles.
Thus, the emitted particles are
\[
\boxed{\text{Positron and neutrino}.}
\]
Hence, the correct option is \(\boxed{(B)}\).