A particle of mass $M$ and positive charge $Q$, moving with a constant velocity $\vec{u}_1=4 \hat{i} \mathrm{~ms}^{-1}$, 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 $\vec{u}_2=2(\sqrt{3} \hat{i}+\hat{j}) \mathrm{ms}^{-1}$. The correct statement(s) is (are) :
Select ALL correct 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 $\frac{50 \pi \mathrm{M}}{3 \mathrm{Q}}$ units.
D
The magnitude of the magnetic field is $\frac{100 \pi \mathrm{M}}{3 \mathrm{Q}}$ units.
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