My worries turned to none.
My worries turned to nothing.
Are both these sentences stated correctly? I think the first one might be wrong due to the definitions of none, but it doesn't sound too bad to me. I mean, I get the idea it is trying to address, however the second sentence does appear to sound more solid to me.
I tried replacing "turned to" with "became" to see how that would sound, but still I cannot deduce anything else from that.
Do both the sentences make sense? If so, does one make sense more than the other (if that makes sense)?