Step 1: Understanding the reaction.
When quaternary ammonium hydroxides are strongly heated, they undergo Hofmann elimination.
Step 2: Nature of Hofmann elimination.
In this reaction, the quaternary ammonium hydroxide decomposes to give an alkene, a tertiary amine, and water.
Step 3: Product formed.
The major organic product of this elimination reaction is an alkene, generally the least substituted one.
Step 4: Conclusion.
Therefore, the compound obtained on strong heating of quaternary ammonium hydroxide is an alkene.