objection vs demurrer

objection and demurrer both are nouns.

Word	Noun	Adjective	Verb	Adverb
objection	Yes	No	No	No
demurrer	Yes	No	No	No

As nouns, demurrer is a hyponym of objection; that is, demurrer is a word with a more specific, narrower meaning than objection:

objection (noun)	demurrer (noun)
(law) a procedure whereby a party to a suit says that a particular line of questioning or a particular witness or a piece of evidence or other matter is improper and should not be continued and asks the court to rule on its impropriety or illegality	a defendant's answer or plea denying the truth of the charges against him
the act of protesting; a public (often organized) manifestation of dissent	(law) a formal objection to an opponent's pleadings
the speech act of objecting	(law) any pleading that attacks the legal sufficiency of the opponent's pleadings
the act of expressing earnest opposition or protest