Which one of the following is expected to have maximum bond length?

# Which one of the following is expected to have maximum bond length?

1. A

${\mathrm{NO}}^{+}$

2. B

${\mathrm{NO}}^{2+}$

3. C

$\mathrm{NO}$

4. D

${\mathrm{NO}}^{-}$

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### Solution:

Electronic configuration follows the order $\left(\sigma 2\mathrm{s}\right)\left(\sigma \ast 2\mathrm{s}\right)\left(\pi 2{\mathrm{p}}_{x}\right)\left(\pi 2{\mathrm{p}}_{y}\right)\left(\sigma 2{\mathrm{p}}_{z}\right)\left({\pi }^{\ast }2{\mathrm{p}}_{x}\right)$

${\mathrm{NO}}^{+}$(valence electrons =10);  Bond order $=\left(8-2\right)/2=3$

${\mathrm{NO}}^{2+}$(valence electrons = 9);  Bond order $=\left(7-2\right)/2=2.5$

$\mathrm{NO}$ (valence electrons =11);  Bond order $=\left(8-3\right)/2=2.5$

${\mathrm{NO}}^{-}$(valence electrons =12);  Bond order $=\left(8-4\right)/2=2.0$

Smaller the bond order, larger the bond length. Hence,  ${\mathrm{NO}}^{-}$ will having maximum bond length.