Step 1: Verapamil belongs to the non-DHP calcium channel blockers, a group whose cardiac action prominently slows impulse transmission through the atrioventricular node and reduces heart rate.
Step 2: Beta-adrenergic blockers exert a parallel depressant influence on the conducting system, also lowering rate and slowing nodal conduction.
Step 3: Giving both drugs together summates these effects, which can precipitate marked bradycardia and high-grade atrioventricular block, the reason verapamil is contraindicated alongside a beta blocker and in pre-existing second or third degree block.
Step 4: The remaining options do not apply: bronchospasm relates to beta blockade in asthmatics, while neurogenic shock and anaphylaxis are unrelated mechanisms.
\[\boxed{\text{Conduction block}}\]