That is easy. The goal is to find the name of your iPad's firmware.
If it is iPad2,4, it has the new chip. If it is iPad2,1 or iPad2,2 or iPad2,3, it has the old chip.
Search your computer for "iPad2". If you already have firmware, it will show (it is .ipsw). But if there is no firmware, we have to download it from apple.
Plug your iPad 2 to computer. Open iTunes and choose either upgrade or restore (we are not going to do that so don't worry).
For case upgrade, it will ask if you want to "download and install" or "download only". Choose download only.
For case restore, it will ask if you want to back up. I recommend back up. Then it will ask are you sure you want to restore. Just click restore. Continue? Just continue. Unplug your iPad when it start download (your iPad will be fine during download firmware but it will restore when download is complete.)
Both case will end up downloading firmware. No need to wait for it to finish. Go search for "iPad2" again (again look for .ipsw)
Done.