Explanation :
1st attempt:
You need to weigh 3 rings along with another 3 rings. If they are equal, then the remaining 3 will contain that lighter one.
If in that comparison one side is up and another is down, then the 3 rings in upper side will contain the lighter one. Since upper indicates light weight.
2nd attempt:
Take two rings from those three which contains lighter one. Now place one ring in each side. If both sides are equal the un-weighed one is lighter.
If one side is up and another is down, it means that the ring in upper side will be the lighter one.
So we need only 2 attempts to find the lighter ring.