Concept:
Bond order:
\[
\text{B.O.} = \frac{N_b - N_a}{2}
\]
where \(N_b\) = bonding electrons, \(N_a\) = antibonding electrons.
Step 1: Calculate bond orders
(I) \( \mathrm{H_2} \):
\[
\text{B.O.} = 1
\]
(II) \( \mathrm{B_2} \):
Electronic configuration gives:
\[
\text{B.O.} = 1
\]
(III) \( \mathrm{O_2^{2-}} \):
\[
\text{B.O.} = 1
\]
(IV) \( \mathrm{Be_2} \):
\[
\text{B.O.} = 0
\]
(V) \( \mathrm{N_2} \):
\[
\text{B.O.} = 3
\]
Step 2: Compare
Species with same bond order:
\[
\mathrm{H_2}, \mathrm{B_2}, \mathrm{O_2^{2-}} \quad (\text{all have B.O. = 1})
\]
Final Answer:
\[
{\text{I, II and III}}
\]