Final answer:
The name of the strait is the Strait of Gibraltar, named after the Rock of Gibraltar. Its origin is derived from the Arabic phrase 'Jabal Tariq'.
Step-by-step explanation:
The name of the strait that connects the Atlantic and the Mediterranean is the Strait of Gibraltar. It is a narrow waterway that separates Europe from Africa, running between Spain and Portugal to the north and Morocco to the south.
The origin of the name 'Gibraltar' is believed to be derived from the Arabic phrase 'Jabal Tariq', which means 'Mount Tariq'. This refers to the Rock of Gibraltar, which was named after the Berber military leader Tariq ibn Ziyad who led the Muslim conquest of the Iberian Peninsula in the 8th century.