A charged particle of specific charge (charge/ mass) \[\alpha \] is released from origin at time t = 0 with velocity \[\overset{\to }{\mathop{v}}\,={{v}_{0}}(\hat{i}+\hat{j})\] in uniform magnetic field \[\overset{\to }{\mathop{B}}\,={{B}_{0}}\hat{i}\]. Coordinates of the particle at time \[t=\pi /({{B}_{0}}\alpha )\]

• A. \[\left( \frac{{{v}_{0}}}{2{{B}_{0}}\alpha },\frac{\sqrt{2}{{v}_{0}}}{\alpha {{B}_{0}}},\frac{-{{v}_{0}}}{{{B}_{0}}\alpha } \right)\]
• B. \[\left( \frac{-{{v}_{0}}}{2{{B}_{0}}\alpha },0,0 \right)\]
• C. \[\left( 0,\frac{2{{v}_{0}}}{{{B}_{0}}\alpha },\frac{{{v}_{0}}\pi }{2{{B}_{0}}\alpha } \right)\]
• D. \[\left( \frac{{{v}_{0}}\pi }{{{B}_{0}}\pi },0\frac{-2{{v}_{0}}}{{{B}_{0}}\alpha } \right)\]