Final answer:
The beautiful nymph who falls in love with Odysseus and holds him prisoner for 7 years is Calypso. The nymph who loves Odysseus and detains him for seven years on Ogygia is Calypso, which is option b).
Step-by-step explanation:
The beautiful nymph in Greek mythology who falls in love with Odysseus and holds him captive on the island of Ogygia for seven years is Calypso. This is answer choice b) Calypso. According to the Homeric epics, Calypso is a daughter of the Titan Atlas and keeps Odysseus on her island, hoping to make him her immortal husband.
Despite her enchanting beauty and the lush environment of Ogygia, Odysseus yearns to return to his wife, Penelope, in Ithaca. His stay on the island prolongs his homeward journey after the Trojan War, as recounted in Homer's 'Odyssey'. The gods eventually intervene, and Calypso, albeit reluctantly, lets Odysseus build a raft and depart, thus ending his lengthy sojourn with her.