Files.probeContentType(Path)
implements a basic MIME type inquiry you can use (or extend), the internal details of which are platform specific. You can also make a little utility method that walks a Set of extensions. A combination of the two approaches may be necessary, depending on your application.
The MIME type checker will give different results on different releases implementations of the JRE. So, always have a fail-over solution.
See: http://docs.oracle.com/javase/7/docs/api/java/nio/file/Files.html#probeContentType%28java.nio.file.Path
[EDIT]
This actually does not answer the question posited, as this method needs a full, legal Path
object to work on. If you are given just the stem name, and the extension is missing, then you neither have an extension to work with nor a valid Path
name for Files
to work with [and probeContentType() may, in some implementations, just use the extension anyway.]
I'm not sure how you can do this without Path that refers to a real on-disk file that the JRE can access, or by hand if you don't have an extension. If you don't have a File of some sort, you can't even open it up yourself to attempt file type "magic".