Yes, thesy should exchange it at not cost.
Have you tried another pair of headphones? Mabe there is a problem with your iPod.
If not work with another set of headohones
- Try cleaning out/blowing out the headphone jack. Try inserting/removing the plug a dozen times or so.
Try the following to rule out a software problem
- Reset the iPod. Nothing will be lost
Reset iPod touch: Hold down the On/Off button and the Home button at the same time for at
least ten seconds, until the Apple logo appears.
- Reset all settings
Go to Settings > General > Reset and tap Reset All Settings.
All your preferences and settings are reset. Information (such as contacts and calendars) and media (such as songs and videos) aren’t affected.
- Restore from backup
- Restore to factory settings/new iPod.
-Contact an Apple Authorized Service Provider
