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Match List-I with List-II.
| List-I (Molecule) | List-II (Bond order) |
|---|---|
| (a) $$Ne_2$$ | (i) 1 |
| (b) $$N_2$$ | (ii) 2 |
| (c) $$F_2$$ | (iii) 0 |
| (d) $$O_2$$ | (iv) 3 |
We need to determine the bond order of each molecule using molecular orbital theory. The bond order is calculated as $$\text{Bond Order} = \frac{N_b - N_a}{2}$$, where $$N_b$$ is the number of electrons in bonding molecular orbitals and $$N_a$$ is the number of electrons in antibonding molecular orbitals.
(a) $$Ne_2$$: Each neon atom has 10 electrons (electronic configuration: $$1s^2 \, 2s^2 \, 2p^6$$), so $$Ne_2$$ has 20 electrons total. The molecular orbital configuration is $$$(\sigma_{1s})^2 (\sigma^*_{1s})^2 (\sigma_{2s})^2 (\sigma^*_{2s})^2 (\sigma_{2p_z})^2 (\pi_{2p_x})^2 (\pi_{2p_y})^2 (\pi^*_{2p_x})^2 (\pi^*_{2p_y})^2 (\sigma^*_{2p_z})^2$$$. This gives $$N_b = 10$$ and $$N_a = 10$$, so the bond order is $$\frac{10 - 10}{2} = 0$$. This matches (iii).
(b) $$N_2$$: Each nitrogen atom has 7 electrons, so $$N_2$$ has 14 electrons. The molecular orbital configuration is $$$(\sigma_{1s})^2 (\sigma^*_{1s})^2 (\sigma_{2s})^2 (\sigma^*_{2s})^2 (\pi_{2p_x})^2 (\pi_{2p_y})^2 (\sigma_{2p_z})^2$$$. Here $$N_b = 10$$ and $$N_a = 4$$, giving bond order $$= \frac{10 - 4}{2} = 3$$. This matches (iv).
(c) $$F_2$$: Each fluorine atom has 9 electrons, so $$F_2$$ has 18 electrons. The molecular orbital configuration is $$$(\sigma_{1s})^2 (\sigma^*_{1s})^2 (\sigma_{2s})^2 (\sigma^*_{2s})^2 (\sigma_{2p_z})^2 (\pi_{2p_x})^2 (\pi_{2p_y})^2 (\pi^*_{2p_x})^2 (\pi^*_{2p_y})^2$$$. Here $$N_b = 10$$ and $$N_a = 8$$, giving bond order $$= \frac{10 - 8}{2} = 1$$. This matches (i).
(d) $$O_2$$: Each oxygen atom has 8 electrons, so $$O_2$$ has 16 electrons. The molecular orbital configuration is $$$(\sigma_{1s})^2 (\sigma^*_{1s})^2 (\sigma_{2s})^2 (\sigma^*_{2s})^2 (\sigma_{2p_z})^2 (\pi_{2p_x})^2 (\pi_{2p_y})^2 (\pi^*_{2p_x})^1 (\pi^*_{2p_y})^1$$$. Here $$N_b = 10$$ and $$N_a = 6$$, giving bond order $$= \frac{10 - 6}{2} = 2$$. This matches (ii).
The correct matching is (a)$$\to$$(iii), (b)$$\to$$(iv), (c)$$\to$$(i), (d)$$\to$$(ii), which corresponds to Option (2).
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