Spouse and dependent children of F1 visa holder can obtain F2 visa to get admission in the United States. F2 visa holder can enter & stay in the United States as long as F1 visa remains valid. People on F2 visa, legally cannot take up a job but if they wish they can get enrolled in full or part time study.
Spouse & children of F-1 visa holders should have adequate health insurance. They may enroll themselves under F-1 students' health insurance plan or purchase insurance coverage separately. It is advisable to buy visitors insurance for F-2 visa holders as it reduces total premium.