Impact of Log backups restore process after file\file group restore on a database
When we restore file\file group(backup1) backup on a database is it necessary to restore all log backups that were taken after backup1 to get database in consistent state??


Yes - if you want to completely bring your database online (with all file groups) or you want to do a point-in-time restore of your database.

No - if you want to do a piece meal restore for specific file group.

I have explained in detail by giving an example at Backing up file groups with restore to earlier backup.