The category was Monarchs
The clue was: From 1513 to 1972 only men named Christian or Fredrick alternated as rulers of this nation
The answer was What is Denmark
The Final Jeopardy category for September 6 2010 was U.S.A.
The Final Jeopardy category for September 23 2010 was Poetry
The Final Jeopardy category for September 3 2010 was Actors
The Final Jeopardy category for September 15 2010 was Monarchs
The Final Jeopardy category for September 17 2010 was Rivers
The Final Jeopardy category for September 9 2010 was American Literature
The final Jeopardy category was Musical Theater for September 13 2010
The Final Jeopardy category for September 21 2010 was Sports and Media
The Final Jeopardy category for September 22 2010 was The British Isles
The Final Jeopardy category for September 8 2010 was Movie History
The Final Jeopardy category for September 28 2010 was Biblical Beasts
The Final Jeopardy category for September 30 2010 was Alliterative Athletes