(i) The bulb `B_(2)` in arm R lights up earlier because induced e.m.f. across L opposes growth of current in `B_(1)`
(ii) Yes, both the bulbs will be equally bright after some time. This is because once the current has reached its maximum value, self inductance plays no role. Resistance of L and R is same, and both the bulbs are identical and are connected to same source of potential difference.