I believe the T9600 uses the P socket and your machine an M socket. It will take a T7600. See this previous answer on a similar question: Core Duo CPU upgrade to Core 2 Duo CPU?
Here's some info on the M socket: http://en.wikipedia.org/wiki/Socket_M
GeekBench scores should look like this:
MacMini 1.5 Ghz solo about 1400
Mac Mini 1.66 Ghz core duo about 2100
Mac Mini 1.83 Core 2 duo about 2350
Mac Mini 2.0 Core 2 duo about 2600
Mac Mini 2.0 2009 about 2750
the 2.26 about 3200
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