unqualified vs incompetent

unqualified is not a noun while incompetent is a noun.

Word	Noun	Adjective	Verb	Adverb
unqualified	No	Yes	No	No
incompetent	Yes	Yes	No	No

As adjectives, unqualified and incompetent are synonyms defined as:

unqualified (noun)	incompetent (noun)
	someone who is not competent to take effective action

unqualified (adjective)	incompetent (adjective)
not meeting the proper standards and requirements and training	not qualified or suited for a purpose
not limited or restricted	legally not qualified or sufficient
legally not qualified or sufficient	not doing a good job
having no right or entitlement	not meeting requirements
	showing lack of skill or aptitude