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A particle of charge \( q \) and \( m \) starts moving from the
\( \mathrm{P} \) origin under the action of an electric field \( \vec{E}=E_{0} \hat{i} \)

W and \( \vec{B}=B_{0} \hat{i} \) with a velocity \( \vec{v}=v_{0} \hat{j} \). The speed of the particle will become \( 2 v_{0} \) after a time
(A) \( t=\frac{2 m v_{0}}{q E} \)
(B) \( t=\frac{2 B q}{m v_{0}} \)
(C) \( t=\frac{\sqrt{3} B q}{m v_{0}} \)
(D) \( t=\frac{\sqrt{3} m v_{0}}{E q} \)
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