JEE Main 2022 Physics question

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rad in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rad ).

• (1)M/(M + m)
• (2)(M + 2m)/2M
• (3)2M/(M + 2m)Correct
• (4)2(M + 2m)/M