It will error out AND will 'freeze up'. The error will be something to the effect that there is no more room on the drive, truncate the log to free up space. Or something similar.
It's probably your TRANSACTION LOG that is growing rapidly and not the data files. Are you doing backups? (You should have at least done a full backup when you first created the database). What recovery mode is your database using? (In Enterprise Manager, right click on the database, select Properties, go to the Options tab. Find the recovery mode). If it is FULL, you should be doing Transaction Log backups regularly. If it is in SIMPLE mode, you might consider truncating the Transaction Log regularly.
Refer to the BOL for more information on the Transaction Log and Recovery Modes.
-SQLBill
BOL=Books OnLine=Microsoft SQL Server's HELP
Installed as part of the Client Tools
Found at Start>Programs>Microsoft SQL Server>Books OnLine
Posting advice: FAQ481-4875