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A uniform and constant magnetic field $$B = \hat zB$$  exists in the $$\overrightarrow z $$ direction in vacuum. A particle of mass m with a small charge q is introduced into this region with an initial velocity $$v = \hat x{v_x} + \hat z{v_z}.$$   Given that B, m, q, vx and vz are all non-zero. Which one of the following describes the eventual trajectory of the particle?

A. Helical motion in the $${\hat z}$$ direction

B. Circular motion in the xy plane

C. Linear motion in the $${\hat z}$$ direction

D. Linear motion in the $${\hat x}$$ direction

Answer: Option A


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