Q.Give the shapes (structure only) of $\text{N}_2\text{O}$, $\text{NO}$, $\text{NO}_2$ and $\text{N}_2\text{O}_5$.

[!TLDR] N2O is linear, NO is linear/paramagnetic, NO2 is bent (~134 degrees) and paramagnetic, and N2O5 is planar as a gas but ionic (NO2+ NO3-) as a solid. [!ANSWER] N2O: linear. NO: linear (paramagnetic). …

Nitrous oxide, $\text{N}_2\text{O}$ ($+1$): a linear molecule, $\text{N}\!=\!\text{N}\!=\!\text{O}$, isoelectronic with $\text{CO}_2$, nitrogen $sp$ hybridised. Nitric oxide, NO ($+2$): a small, linear diatomic molecule that is paramagnetic, since it has one unpaired electron in an antibonding $\pi^*$ molecular orbital. Nitrogen dioxide, $\text{NO}_2$ ($+4$): a bent ('V-shaped') molecule with a bond angle of about $134^\circ$ -- wider than a typical bent triatomic because the central nitrogen carries an unpaired, odd electron rather than a full lone pair, so NO2 is also paramagnetic; it dimerises reversibly to the colourless $\text{N}_2\text{O}_4$. Dinitrogen pentoxide, $\text{N}_2\text{O}_5$ ($+5$): as a covalent gas-phase molecule it is planar, but on crystallising it adopts an entirely ionic sol …

Go through the oxides in order of increasing oxidation state, stating shape and any notable electronic featur …

Assuming N2O5 has the same structure in gas and solid phases; forgetting that NO and NO2 are both par …