A particle of charge q and mass m starts moving from the origin under the action of an electric field $\overrightarrow{\mathrm{E}}={\mathrm{E}}_0\hat{\mathrm{i}}$ and $\overrightarrow{\mathrm{B}}={\mathrm{B}}_0\hat{\mathrm{i}}$ with a velocity $\overrightarrow{\mathrm{v}}={\mathrm{v}}_0\hat{\mathrm{j}}$. The speed of the particle will become 2v₀ after a time

A charged particle having charge 10^-6 C and mass of 10^-10 kg is fired at the middle of the plate making an angle 30° with plane of the plate. Length of the plate is 0. 17 m and it is separated by 0.1 m. Electric field E=${10}^{-3} \mathrm{N}/\mathrm{C}$ is present between the plates. Just outside the plates magnetic field is present. Find the magnitude of the magnetic field (in mT)perpendicular to the plane of the figure, if it has to graze the plate at C and A (in mT) parallel to the surface of the plate.(Neglect gravity)