Step 1: Recall the method
In the Williamson synthesis an alkoxide attacks an alkyl halide by an SN2 reaction. A tertiary halide would eliminate to alkene.
Step 2: Check the options
(A) Tertiary butyl bromide with methoxide gives isobutene by elimination, so it is unsuitable.
(B) Sodium tert-butoxide with methyl bromide gives methyl tert-butyl ether, which is suitable.
(C) Methyl alcohol and ethene do not form an ether this way.
(D) Methyl alcohol and methyl bromide do not react without a base.
Final Answer:
Sodium tert-butoxide and methyl bromide work, option (B).
\[ \boxed{\text{(B)}} \]