Step 1: Tie the side effect to the vehicle. The injection pain of an induction agent is largely a property of what it is dissolved in.
Step 2: Propofol is the lipid-emulsion agent (soybean oil, egg lecithin, glycerol), and this emulsion is the classic cause of a burning sensation at the injection site.
Step 3: That is why anaesthetists routinely add or pre-inject lidocaine and choose a larger antecubital vein, and why thrombophlebitis is an occasional sequela.
Step 4: Among the options, propofol is the agent best known for painful IV administration.
\[\boxed{\text{Propofol}}\]