The Williamson ether synthesis produces unsymmetrical ethers via an SN2 (nucleophilic substitution) reaction. An alkoxide ion (\( \text{R-O}^- \)) reacts with a primary or secondary alkyl halide to yield an ether. The SN2 mechanism involves the nucleophile attacking the carbon bonded to the leaving group from the backside, facilitating ether formation. Consequently, the appropriate answer is (B) SN2.