(b)
Electron releasing groups such as $CH_{3}, - OCH_{3}$ activate the monomer towards cationic polymerisation as these groups provide stability to the carbocation formed. Thus, the correct order is
$CH_{2} = CHC_{6}H_{5}\left( OCH_{3} \right) > CH_{2} = CH - C_{6}H_{5}\left( CH_{3} \right) > NO_{2}C_{6}H_{5} - CH = CH_{2}$