If your head is empty, you are fundamentally stupid and ignorant. There is no information inside your brain. This is usually a fairly strong insult.
"Never ask Bob for advice. He is an empty-headed moron."
We don't say your "head" is blank; we say your "mind" is blank. If your mind is blank, you suddenly cannot remember a single, specific fact, or you cannot perform a single, specific process RIGHT NOW.
A: "What's Bob's wife's name?"
B: "Uh...Uh....Wow! My mind just went blank! I've known her for several months, but I can't remember her name right now!"
When the teacher made little Sam do the multiplication problem in front of the entire class, his mind went blank. Sam was usually very good at multiplication, but, when all the students in the class started looking at him, he suddenly forgot how to multiply.