The correct option is
B E1cB reaction is the process by which a substituted alkane form its corresponding alkene taking hydrogen from the beta carbon. It is a unimolecular reaction.
For
E1cB to occur, the substituted alkane must have strong EWG at the
β carbon and poor leaving group. These conditions will favors the E1cB reaction.
It also must have a hydrogen on one of its beta carbon.
Compounds forming resonance stabilised carbanion after abstraction of
(β−H) will favours the most to E1cB mechanism.
In (a), we don't have electron withdrawing group at beta carbon.
In (b), reactant has fluorine which is a poor leaving group and also a electron withdrawing phenyl group so it undergo E1cB reaction.
In (c) and (d), compound lacks electron withdrawing group.
Thus, compound (b) will undergo E1cB easily.