A charged particle with charge `q` enters a region of constant, uniform and mututally orthogonal fields `vec(E) and vec(B)` with a velocity `vec(v)` perpendicular to both `vec(E) and vec(B)`, and comes out without any change in magnitude or direction of `vec(v)`. Then

Options

A. `vec(v)=(vec(B)xxvec(E))/(E^2)`
B. `vec(v)=(vec(E)xxvec(B))/(B^2)`
C. `vec(v)=(vec(B)xxvec(E))/(B^2)`
D. `vec(v)=(vec(E)xxvec(B))/(E^2)`

Answer

B