tail lamp vs rear lamp

tail lamp and rear lamp both are nouns.

Word	Noun	Adjective	Verb	Adverb
tail lamp	Yes	No	No	No
rear lamp	Yes	No	No	No

As nouns, tail lamp and rear lamp are synonyms defined as:

tail lamp and rear lamp: lamp (usually red) mounted at the rear of a motor vehicle

Other synonyms of tail lamp include rear light, taillight.

tail lamp (noun)	rear lamp (noun)
lamp (usually red) mounted at the rear of a motor vehicle	lamp (usually red) mounted at the rear of a motor vehicle