Explanation

The correct answer to the sentence 'I hope to meet you ---- in January.' is B) Sometime. The reason "sometime" fits best is due to its meaning and grammatical usage in this context.

"Sometime" (adverb) refers to an unspecified time in the future. When someone says, "I hope to meet you sometime in January," they express the desire to meet at an unpredictable point during that month, focusing on the time aspect rather than specific scheduling.

Option A) "sometimes" refers to repeated or habitual actions occurring at various times but doesn't fit here since the speaker is indicating a single future event. Option C) "somewhat" is used to indicate a degree or extent of something and is not applicable for scheduling a meeting. Lastly, D) "something" refers to an object or idea, which does not logically apply in the context of scheduling a future meeting.

Therefore, "sometime" is the only option that correctly conveys the intended meaning of meeting at an unspecified moment in January.