Final answer:
In the case of two similar alkyl halides, the compound that will undergo E2 elimination at a faster rate is the one with less steric hindrance and a stronger base.
Step-by-step explanation:
In the case of two similar alkyl halides, the compound that will undergo E2 elimination at a faster rate is the one with less steric hindrance and a stronger base. Steric hindrance refers to the obstruction of the reaction by bulky substituents. A stronger base will be more effective at abstracting the proton during the elimination process. Therefore, the compound with less steric hindrance and a stronger base will exhibit a faster E2 elimination rate.