Final Answer:
Hel is commonly portrayed as having half of her body appearing alive and beautiful while the other half exhibits a ghastly, corpse-like appearance. Thus option 2 is correct.
Step-by-step explanation:
In Norse mythology, the child of Loki cast into Niflheim by Odin and destined to rule over the realm of the dead is ^{Hel}. Hel is a prominent figure in Norse mythology and is often depicted as ruling over the underworld, which shares her name. Odin cast Hel into Niflheim and bestowed upon her the responsibility of presiding over the realm of the dead, where those who did not die in battle were sent.
She governs the deceased in Niflheim, determining the fate of souls who did not earn a place in Valhalla or Folkvangr, the realms reserved for warriors fallen in battle. Hel's role as ruler of Niflheim and her unique appearance symbolize the duality of life and death in Norse mythology.
While Loki, the trickster god, fathered several notable offspring in Norse mythology, including Jormungandr, the Midgard Serpent, Fenrir, the monstrous wolf, and Sleipnir, Odin's eight-legged steed, it was Hel who was cast into Niflheim by Odin to reign over the realm of the dead, distinguishing her as the correct answer among the options provided.
Thus option 2 is correct.