A uniform ring of mass \( m \) and radius \( R \) is rotating with constant angular speed \( \omega \) (anticlockwise) about an axis through center of the ring (and perpendicular to the plane of the ring). A uniform (normally outward) magnetic field \( B_{0} \) exists in the space. The value of the current that must flow in the ring so that the wire shall remain unstretched (neither in tension nor in compression) state is \( \frac{3 m \omega^{2}}{n \pi B_{0}} \). The value of \( n \) is