A thin circular ring of mass M and radius R is rotating with a constant angular velocity `2rads^(-1)` 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 `rads^(-1)`).

Options

A. `(M)/((M+m))`
B. `((M+2m))/(2M)`
C. `(2M)/((M+2m))`
D. `(2(M+2m))/(M)`