The underlined word in the given sentence is "hand". The word "hand" as used in the sentence is a verb. The correct answer would be option A. It is used as a verb because it means to pass, to give to or to pick something up.
In your sentence "Hand me the hammer",Hand definitely is not a noun. It is a verb (used with object) defined as: to deliver or pass with as if with the hand ,to help,assist<span> or guide.</span><span> </span><span><span> </span> </span>
