Just for the sake of argument, if Yes did win, would Scotland remain part of the EU? Would they have to apply and wait years for admission? Would they be forced to adopt the Euro?
They'd have to reapply as there's no succession of States under international law - Scotland would be a whole new State.
They'd be forced to adopt the Euro once their economy reached inflation and public debt standards established by the EU, unless they negotiate a separate agreement with Brussels, like the UK and Denmark did.