Season 24 ran from Sept. 10, 2007 to July 25, 2008. Season 25 began Sept. 8, 2008. Episodes airing between July 26 and Sept. 7, 2008 were reruns from Season 24 or from earlier years. It would be virtually impossible to give a definitive answer to your question unless additional information is provided, such as the names of the contestants playing on the episode in question.
Final Jeopardy! for Monday, September 8, 2008: Category: The Vatican Answer: A statue of this man is being erected inside the Vatican's walls near where he was locked up in 1633 Question: Who is Galileo?
The Final Jeopardy category for June 9 2010 was Artists
The Final Jeopardy category for July 9 2010 was Children's Books
The Final Jeopardy category for September 9 2010 was American Literature
The final Jeopardy category was 19th Century British Literature
Final Jeopardy! for Thursday, October 9, 2008 (Winner: Jim Davis - $32401) Category: 1960s Hit Songs Answer: The singer/songwriter of this 1960s mega-hit has revealed that it was inspired by a president's daughter. Question: What is 'Sweet Caroline'? (Neil Diamond's song inspired by Caroline Kennedy)
Final Jeopardy - 2001 TV was released on: USA: 9 April 2001
Show was an encore for the November 2010 college championship ] The week's shows are found under the related links
The InternetThe final Category was The Internet
The old testament
Super Jeopardy - 1990 1-9 was released on: USA: 11 August 1990
The final category was Words in 20th Century Novels