Final answer:
Jefferson Airplane's 'Surrealistic Pillow' is the psychedelic album with two top ten singles 'Somebody to Love' and 'White Rabbit'.
Step-by-step explanation:
The album by Jefferson Airplane that is known for its psychedelic vibe and included two U.S. top ten singles is called 'Surrealistic Pillow'. Released in 1967, this album became a soundtrack for the Summer of Love and the burgeoning counter-culture movement. The singles that gained immense popularity were 'Somebody to Love' and 'White Rabbit', both of which embody the psychedelic rock sound that was popular during that era and provided a musical backdrop for many young people experimenting with LSD and other psychedelic substances, as mentioned in the accounts of Woodstock.