A particle of mass`M` and positive charge `Q`, moving with a constant velocity ` vec(u_(1)) = 4 hat(i) ms^(-1)`, enters a region of uniform static magnetic field , normal to the ` x-y ` plane. The region of the magnetic field extends from ` x= 0` to ` x = L` for all values of `y`. After passing through this region, the particle emerges on the other side after `10 milliseconds` with a velocity `vec(u_(2)) = 2 (sqrt(3 hat(i) + hat(j))) ms^(-1)` . The correct statement(s) is (are)

Options

A. the direction of the magnetic field is –z direction.
B. the direction of the magnetic field is +z direction.
C. the magnitude of the magnetic field is `(50piM)/(3Q)` units.
D. the magnitude of the magnetic field is `(100piM)/(3Q)` units.

Answer

A, C