A thin superconducting ring is held above a vertical long solenoid as shown in the figure. Axis of solenoid is same as that of a ring. The cylindrically symmetric magnetic field around the ring in terms of vertical and radial component, is  $B_z=B_0(1-\alpha z)$  and  $B_r=B_{0}Br$ where $B_0$  ,  $\alpha$ and  $B$  are positive constant $z$ and $r$  and   are vertical and radial components respectively. Initially plane of ring is horizontal with no current flowing through it. Mass of the ring is $m$  , radius  $r_0$ and self inductance $L$ . If initially, coordinates of ring are  $(0,0,0)$  and it is released then