Which of the following species has a linear shape :-

Which of the following species has a linear shape :-
A $NO_2^-$
B $SO_2$
C $NO_2^+$
D $O_3$

Detailed Solution

$NO_2^+$ (nitronium ion): the nitrogen has two double bonds and no lone pair, $O=\overset{+}{N}=O$. It is $sp$ hybridised, hence linear, with a bond angle of $180^\circ$. It is isoelectronic with $CO_2$.
$NO_2^-$: the nitrogen is $sp^2$ hybridised with one lone pair, so the ion is bent (about $115^\circ$).
$SO_2$: the sulphur is $sp^2$ hybridised with one lone pair, so the molecule is bent (about $119^\circ$).
$O_3$: the central oxygen is $sp^2$ hybridised with one lone pair, so the molecule is bent (about $117^\circ$).
So the species with a linear shape is $NO_2^+$.

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