At 2021 Eastern time, the airplanes airframe parachute was deployed after the non-instrument-rated private pilot entered encountering instrument flight conditions. The airplane received substantial damage. The pilot received serious injuries and one passenger received minor injuries. While approaching the Nantucket (Mass.) Airport, the pilot was advised of low ceilings requiring an IFR clearance, but reported he was capable of executing the ILS approach. The tower controller handed off the pilot to Cape Approach. Shortly thereafter, Cape Approach informed the controller the pilot had deployed the airframe parachute.