Step 1: Ketone oxidation
Ketones resist mild oxidants but under vigorous conditions, such as hot \(CrO_3\), the C-C bond next to the carbonyl breaks.
Step 2: Acetone
Acetone \(CH_3COCH_3\) breaks to give acetic acid (and carbon dioxide on further oxidation of the other fragment). So the main organic product is acetic acid.
Step 3: Other options
Ethyl alcohol, toluene and dimethyl ether are not oxidation products of a ketone.
Final Answer:
Acetone on strong oxidation mainly gives acetic acid.
\[ \boxed{\text{(A)}\ \text{Acetic acid}} \]