He won first prize for the solar lamp in the science fair.

(What is the meaning of 'for' in the sentence? Is 'for the solar lamp' an adjective phrase modifying 'prize' or and adverbial phrase modifying 'won'?)

Didn't we go through this recently? Let me know what you think after rereading this:

http://www.jiskha.com/display.cgi?id=1382953347