At any time when the bonds and other obligations of the authority have been paid in full, the authority may be dissolved upon the filing with the Secretary of State of a written statement for dissolution, reciting payment in full of all bonds and other obligations of the authority and which shall be sworn to by each such member before an officer authorized to take acknowledgments to deeds. Upon the filing of said written statement for dissolution, the authority shall cease and any property owned by it at the time of its dissolution shall pass to the state. The Secretary of State shall file and record the written statement for dissolution in an appropriate book of record in his office, and shall make and issue, under the Great Seal of the State, a certificate that the authority is dissolved, and shall record the said certificate with the written statement for dissolution.