Just remember when you talk about "cool" and popular that, Google+, GMail, LinkedIn, and many parts of Twitter are Java.
Also remember that Google uses C++ as well for their infrastructure
LinkedIn, yep
Of course not
"Java is still very widely used, more so than more fashionable languages like python and ruby""
Yes, but "widely used" is a tricky term, I'm sure cases both for and against can be found.
But to talk about Google, last I heard it's only possible to develop application there in the following languages: JS, Java, C++, Python (there are exceptions of course, for specific libraries or things like ObjC for iOS)