In the figure, a conducting rod of length `l=1` meter and mass `m = 1 kg` moves with initial velocity `u = 5 m//s`. On a fixed horizontal frame containing inductor `L = 2 H` and resistance `R = 1 W`. `PQ` and `MN` are smooth, conducting wires. There is a uniform magnetic field of strength `B = 1T`. Initially there is no current in the inductor. Find the total charge in coulomb, flown through the inductor by the time velocity of rod becomes `v_(f) = 1 m//s` and the rod has travelled a distance `x = 3` meter.

Answer

1