A particle of charge \(q\) and mass \(m\) starts moving from the origin under the action of an electric field \(E=E_{0}\) cap i and \(B=B_{0}\) cap i with velocity vector \(v=v_{0}\) cap \(j\) The speed of the particle will become \(2 \mathrm{v}_{0}\) after a time.

(A) \(\mathrm{t}=\frac{2 \mathrm{mv}_{0}}{\mathrm{qE}}\)

(B) \(\mathrm{t}=\frac{2 \mathrm{~Bq}}{\mathrm{mv}_{0}}\)

(C) \(\mathrm{t}=\frac{3 \mathrm{~Bq}}{\mathrm{mv}_{0}}\)

(D) \(t=\frac{\sqrt{3} m v_{0}}{q E}\)