(i) As the magnet falls, the magnetic flux linked with the ring increases. This induces emf in the ring which opposes the motion of the falling magnet, hence
a < g.
(ii) When current is suddenly switched ON, magnetic
flux linked with the solenoid and thus, with metal ring increases. Current is induced in the ring in anti-clockwise direction (as seen from top of the ring). Since, the direction of flow of current in the ring is opposite to the current in the solenoid, therefore they will repel each other and the ring jumps up.