A particle of charge q and mass m starts moving from the origin under the action of an electric field \[\overset{\to }{\mathop{E}}\,={{E}_{0}}\hat{i}\] and \[\overset{\to }{\mathop{B}}\,={{B}_{0}}\hat{i}\] with velocity \[\overset{\to }{\mathop{v}}\,={{v}_{0}}\hat{j}\] .The speed of the particle will become\[2{{v}_{0}}\] after time

• A. \[t=\frac{2m{{v}_{0}}}{qE}\]  
• B. \[t=\frac{2Bq}{m{{v}_{0}}}\]
• C. \[t=\frac{\sqrt{3}Bq}{m{{v}_{0}}}\]    
• D. \[t=\frac{\sqrt{3}m{{v}_{0}}}{qE}\]