In the given figure, a smooth parabolic wire track lies in the xy-plane (vertical). The shape of track is defined by the equation\[y={{x}^{2}}\]. A ring of mass m which can slide freely on the wire track, is placed at the position A (1,1). The track is rotated with constant angular speed to such there is no relative slipping between the ring and the track. The value of \[\omega \] is

• A. \[\sqrt{g/2}\]
• B. \[\sqrt{g}\]
• C. \[\sqrt{2g}\]
• D. \[2\sqrt{g}\]