If passport is rejected once when can I apply the second time . Immediately or aftr few months?

Duplicated by accident... please delete this post.

What country was this... and what were the reasons given?

Normally you won't be denied passport application unless there are some unsolved issues such as there is an arrest warrant after you, or criminal trial pending, or you fail to register with the army (Selective Service in US). The other possibility is you owe child support more than $2500.

Whatever reason it is, you have to fix it first... good luck.