Is it possible to have Low RAM in the System and because of this the MotherBoard getting problem.Actually I have Apple MacMini with Lion OS and 2GB of RAM.when I Install Titanium with Android SDK and Run Android Simulator My OS Getting Crashed.My Hardisk capacity is 500GB and I have used 50GB among them.I don't know the reason why this happen?
To answer your initial question, there is no chance whatsoever for your motherboard to develop a problem because of too little RAM.
As to rest of your problem, the crash could theoretically be due to low RAM (though not that likely).
If you can, please provide some info on what tasks are running concurrently and also look at the logs from when the kernel panic occurred (see http://support.apple.com/kb/ht2546 for info on where they are located). We may be able to help track it down.