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A particle of mass \( M \) and positive charge \( Q \), moving with a constant velocity \( u_{1}=4 \hat{i} \mathrm{~m} \mathrm{~s}^{-1} \), 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 \( \vec{u}_{2}=2(\sqrt{3} \hat{i}+\hat{j}) \mathrm{m} \mathrm{s}^{-1} \). The correct statement(s) is (are)
(1) The direction of the magnetic field is \( -z \) direction.
(2) The direction of the magnetic field is \( +z \) direction.
(3) The magnitude of the magnetic field \( \frac{50 \pi M}{3 Q} \) units
(4) The magnitude of the magnetic field is \( \frac{100 \pi M}{3 Q} \) units
(JEE Advanced 2013)
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