question_answer

A particle of charge \[16\times {{10}^{-16}}\] C moving with velocity  \[10{{\operatorname{ms}}^{-1}}\] along \[x-\] axis enters enters a region where magnetic field of induction \[\overset{\to }{\mathop{\operatorname{B}}}\,\] is along the \[y\]-axis and an electric field of magnitude \[{{10}^{4}}{{\operatorname{V}}^{-1}}\] is along the negative z-axis. If the charged particle continues moving along \[x-axis\], the magnitude of magnitude of \[\overset{\to }{\mathop{\operatorname{B}}}\,\]is :                      [JEE ONLINE 23-04-2013]

A) \[16\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}\]

B) \[2\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}\]

C)             \[1\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}\]

D) \[4\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}\]