To fully understand oxidation of aromatic species, necessarily
involves the full mechanism (including the MnO4- species and
multiple intermediates), which is not just beyond H2 & H3 A
levels, but is also beyond much of Uni level Chemistry as well
(in which you will have to choose to focus on your specialties and
subspecialties; this holds true for all sciences and all
disciplines).
As such, even your school JC teachers, and even some of the
Cambridge examiners, themselves would not know
the mechanism for this reaction (*particularly* for this
aromatic oxidation reaction, which is significantly more
complicated than say, oxidation of alkenes, alcohols, aldehydes,
etc).
Bottomline : as far as A levels H2 Chemistry is concerned,
Cambridge only requires you to appreciate that the
alkyl side chain (containing at least 1 benzylic H atom) of
a benzene ring, can be oxidized by heating under reflux with
acidified KMnO4 to generate benzoic acid, and other by-products
(usually including CO2).
If the benzene ring's side chain contains a C=C group, you have
to treat it as an alkene and oxidize it accordingly to generate the
expected products on the other side of the C=C goup. Any remaining
C atoms between the benzylic C atom and the double bond, you may
assume to be oxidized to CO2.
Last but not least,hot alkaline oxidation and its difference
between hot acidified oxidation by KMnO4
For A level purposes, temperature together with pH matters only for
oxidation of alkenes, ie. cold alkaline KMnO4 generates vicinal
diol, while hot acidified KMnO4 results in oxidative
cleavage.
Other than alkenes, the H2 syllabus ignores any differences
between acidified vs alkaline KMnO4 (but "heat under reflux"
must always be specified), other than (obviously!) the required
protonation or deprotonation of the oxidation products.