A particle of mass m and charge q moving with a uniform velocity v =v_0 x i +v_0 y j enters a region with a magnetic field B =B_0 j. After some time,…

A particle of mass $\displaystyle m$ and charge $\displaystyle q$ moving with a uniform velocity $\displaystyle \vec{v}=v_{0 x} \hat{i}+v_{0 y} \hat{\mathrm{j}}$ enters a region with a magnetic field $\displaystyle \vec{B}=B_{0} \hat{\mathrm{j}}$. After some time, an electric field $\displaystyle \overrightarrow{\mathrm{E}}=\mathrm{E}_{0} \hat{\mathrm{j}}$ is also switched on in the region. The resulting path described by the particle will be :