You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For simplicity, answers should be in all lower cased letters.
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Question: Category: AMERICAN DATEBOOK 
Clue: On October 4, 1957 Sputnik was launched & this Jerry Mathers TV show premiered

Answer: leave it to beaver


Question: Category: OPTICS 
Clue: On New Year's or any other day, it's the fineness of detail that can be distinguished in a photographic image

Answer: resolution


Question: Category: SOLD "AMERICAN" 
Clue: Unflattering slang term for a U.S. citizen abroad who gives his fellow countrymen a bad image

Answer:
"ugly american"