juice vs carrot juice

juice and carrot juice both are nouns.

Word	Noun	Adjective	Verb	Adverb
juice	Yes	No	No	No
carrot juice	Yes	No	No	No

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

juice: the liquid part that can be extracted from plant or animal tissue by squeezing or cooking
carrot juice: usually freshly squeezed juice of carrots

Other hyponyms of juice include gravy, pan gravy, lemon juice, lime juice, papaya juice, tomato juice, V-8 juice.

juice (noun)	carrot juice (noun)
any of several liquids of the body	usually freshly squeezed juice of carrots
the liquid part that can be extracted from plant or animal tissue by squeezing or cooking
electric current
energetic vitality