In general terms, the lower-recoil scopes are listed as being for .22's or BB/Pellet guns. The ones without that limitation should be fine for any gun with mid-range recoil.
A scope is also more important than the rifle when it comes to accuracy. Most rifles will shoot much better than most people are capable of without a decent scope. As mentioned earlier, buy the best you can afford.
I wouldn't skimp when it comes to a scope for whatever rifle you have. If you're going to invest in a scope, anything less than the best you can afford is a waste. I say that because you'll probably own that scope for quite a while, and you'll never wish it was less-good than it is... It can always be moved to a different rifle in the future, and you'll always want it to be the best it can be.
If the scope outclasses the rifle, that's ok. If it doesn't, you'll be disappointed.
And of course, a top-notch scope won't perform well without a top-notch mount...
If funds are tight, skimp on the gun, not the scope. Or wait until your funds are better. I'd be seriously skeptical of a low-cost scope. It's a good bet you'll be disappointed with it eventually.
