Which periodical was started by Joseph Addison and Richard Stelle after closign of the spectator.

The correct option is The Guardian.

Joseph Addison and Richard Steele were prominent English writers and journalists of the early 18th century who collaborated on several famous periodicals.
They first established The Tatler (which ran from 1709 to 1711), followed by their most celebrated daily publication, The Spectator, which ran from March 1711 until December 1712.

Following the closure of The Spectator in December 1712, Richard Steele founded The Guardian in March 1713.
Joseph Addison also contributed extensively to this new periodical. The Guardian was intended to continue the moral, social, and literary discussions popularized by The Spectator, though it also took on a more political tone before it ceased publication in October 1713.